{"id":3469,"date":"2024-11-11T11:00:58","date_gmt":"2024-11-11T11:00:58","guid":{"rendered":"https:\/\/www.probool.com\/?p=3469"},"modified":"2025-03-26T18:04:57","modified_gmt":"2025-03-26T18:04:57","slug":"transformar-dados-em-valor-acrescentado-industria-eficiencia","status":"publish","type":"post","link":"https:\/\/www.probool.com\/?p=3469","title":{"rendered":"Dados versus Valor Acrescentado"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"3469\" class=\"elementor elementor-3469\">\n\t\t\t\t<div class=\"elementor-element elementor-element-4cab46e e-con-full e-flex e-con e-parent\" data-id=\"4cab46e\" data-element_type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-f01a71c elementor-widget elementor-widget-text-editor\" data-id=\"f01a71c\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<script src=\"https:\/\/kit.fontawesome.com\/a076d05399.js\" crossorigin=\"anonymous\"><\/script>\n<style>\n.sub {vertical-align: sub; font-size: smaller;}\n.sup {vertical-align: sup; font-size: small;}\n.voltar {text-align: right;}\n.padleft{padding-left: 15px;}\n.wing01 {margin-top: 0.00px; margin-botton: 0.00px; padding-left: 0px; font-size: 15px; color: #0000ff; text-shadow: 1px 1px 1px #0000ff}\n.wing02 {margin-top: 0.00px; margin-botton: 0.00px; padding-left: 0px; font-size: 15px; color: #000000; text-shadow: 1px 1px 1px #000000}\n.wing03 {margin-top: 0.00px; margin-botton: 0.00px; padding-left: 0px; font-size: 15px; color: #ff0000; text-shadow: 1px 1px 1px #ff0000}\n.wing04 {margin-top: 0.00px; margin-botton: 0.00px; padding-left: 0px; font-size: 15px; color: #00ff00; text-shadow: 1px 1px 1px #00ff00}\n.wing05 {margin-top: 0.00px; margin-botton: 0.00px; padding-left: 0px; font-size: 15px; color: #000000; text-shadow: 1px 1px 1px #000000}\n.MsoNormal {margin-botton: 0px; Margin-top: 25px; padding-left: 15px;}\n.MsoNormal1 {margin-botton: 0px; Margin-top: 0px; padding-left: 10px;}\n.MsoNormal2 {margin-botton: 25px; Margin-top: 25px; padding-left: 0px}\n.azul1 {color: #0000ff;}\n.azul2 {color: #3333cc;}\n.azul3 {color: #000099;}\n.azul4 {color: #001f3f;}\n.verde1 {color: #006600;}\n.verde2 {color: #009999;}\n.verde3 {color: #33cc33;}\n.vermelho {color: #ff0000;}\n.preto {color: #000000;}\n.laranja {color: #f8981d;}\n.cinza {color: #999999;}\n.castanho1 {color: #663300;}\n.castanho2 {color: #996600;}\n.castanho3 {color: #cc6600;}\n.roxo {color: #990099;}\n.table, td {border: 1px solid black; border-collapse: collapse;}\n.table2, td {border: 0px ; border-collapse: collapse;}\n.sobrelinhado {position: relative; display: inline-block;}\n.sobrelinhado::before {content: \"\"; position: absolute; top: 0; left: 0; width: 100%; height: 1px; background-color: black; transform: translateY(-100%);}\n.MsoNormal3 {margin-botton: 0px; Margin-top: 25px; padding-left: 15px;}\n.MsoNormal21 {margin-botton: 25px; Margin-top: 25px; padding-left: 0px}\n<\/style>\n\n<h4 id=\"indice\" class=\"MsoNormal\"><strong><span class=\"azul4\">\u00cdndice<\/span><\/strong><\/h4>\n<ul><a id=\"101\"><\/a><a href=\"#sec101\"><span class=\"azul2\"><u>Introdu\u00e7\u00e3o<\/u><\/span><\/a><\/ul>\n<ul><a id=\"102\"><\/a><a href=\"#sec102\"><span class=\"azul2\"><u>Problema<\/u><\/span><\/a><\/ul>\n<ul><a id=\"103\"><\/a><a href=\"#sec103\"><span class=\"azul2\"><u>Defini\u00e7\u00e3o do Objetivo<\/u><\/span><\/a><\/ul>\n<ul><a id=\"104\"><\/a><a href=\"#sec104\"><span class=\"azul2\"><u>Crit\u00e9rios para a An\u00e1lise<\/u><\/span><\/a><\/ul>\n<ul><a id=\"105\"><\/a><a href=\"#sec105\"><span class=\"azul2\"><u>Metodologia<\/u><\/span><\/a><\/ul>\n<ul><a id=\"106\"><\/a><a href=\"#sec106\"><span class=\"azul2\"><u>M\u00e9todos Estat\u00edsticos Recomendados<\/u><\/span><\/a><\/ul>\n<ul><a id=\"107\"><\/a><a href=\"#sec107\"><span class=\"azul2\"><u>Estudo de Caso<\/u><\/span><\/a><\/ul>\n<ul><a id=\"108\"><\/a><a href=\"#sec108\"><span class=\"azul2\"><u>Monitoriza\u00e7\u00e3o dos equipamentos<\/u><\/span><\/a><\/ul>\n<ul><a id=\"109\"><\/a><a href=\"#sec109\"><span class=\"azul2\"><u>Estudo e conclus\u00f5es de um novo cen\u00e1rio<\/u><\/span><\/a><\/ul>\n<ul><a id=\"110\"><\/a><a href=\"#sec110\"><span class=\"azul2\"><u>Tipo de interven\u00e7\u00e3o sugerida para o torno TB303<\/u><\/span><\/a><\/ul>\n<ul><a id=\"111\"><\/a><a href=\"#sec111\"><span class=\"azul2\"><u>Tipo de interven\u00e7\u00e3o sugerida para o torno TH605<\/u><\/span><\/a><\/ul>\n\n\n<h4 id=\"sec101\" class=\"MsoNormal\"><em><strong><span class=\"laranja\">Introdu\u00e7\u00e3o<\/span><\/strong><\/em><\/h4>\n<ul><span class=\"MsoNormal2\">A estat\u00edstica desempenha um papel fundamental na an\u00e1lise e na resolu\u00e7\u00e3o de problemas em diversos setores, sendo particularmente relevante na ind\u00fastria transformadora. Neste contexto, os testes estat\u00edsticos surgem como ferramentas indispens\u00e1veis para a tomada de decis\u00f5es com base em dados e evid\u00eancias, proporcionando suporte t\u00e9cnico para a otimiza\u00e7\u00e3o de processos, a garantia da qualidade e a redu\u00e7\u00e3o de desperd\u00edcios. Este trabalho explora os conceitos te\u00f3ricos essenciais dos testes estat\u00edsticos, aplicando-os a problemas pr\u00e1ticos com produtos e equipamentos utilizados na ind\u00fastria transformadora.<\/span><\/ul>\n<ul><span class=\"MsoNormal2\">Este estudo apresenta a an\u00e1lise de um <strong><span class=\"azul1\">Caso Real<\/span><\/strong>, abordando situa\u00e7\u00f5es em que estas metodologias contribuem para a solu\u00e7\u00e3o de problemas, como a <strong><span class=\"azul1\">avalia\u00e7\u00e3o de varia\u00e7\u00f5es de desempenho<\/span><\/strong> em m\u00e1quinas e a <strong><span class=\"azul1\">verifica\u00e7\u00e3o da conformidade<\/span><\/strong> de produtos.<\/span><\/ul>\n<ul><span class=\"MsoNormal2\">Tem por objetivo facilitar a compreens\u00e3o dos conceitos te\u00f3ricos e ilustrar a sua aplicabilidade em contextos industriais espec\u00edficos, promovendo uma vis\u00e3o integrada da estat\u00edstica enquanto ferramenta de apoio \u00e0 melhoria cont\u00ednua e \u00e0 inova\u00e7\u00e3o no setor transformador.<\/span><\/ul>\n<p class=\"voltar\"><a href=\"#101\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n<h4 id=\"sec102\" class=\"MsoNormal\"><em><strong><span class=\"laranja\">Problema<\/span><\/strong><\/em><\/h4>\n<ul><span class=\"MsoNormal2\">Uma unidade industrial produz uma pe\u00e7a com a refer\u00eancia <strong><span class=\"laranja\">XT3A2<\/span><\/strong>. No seu fabrico utiliza dois tornos autom\u00e1ticos com as refer\u00eancias <strong><span class=\"laranja\">TB303<\/span><\/strong> e <strong><span class=\"laranja\">TH605<\/span><\/strong>.<\/span><\/ul>\n<ul><span class=\"MsoNormal2\">A empresa deseja analisar a qualidade da produ\u00e7\u00e3o de cada uma das m\u00e1quinas, para determinar qual delas apresenta um melhor desempenho no cumprimento dos requisitos de qualidade da pe\u00e7a.<\/span><\/ul>\n<p class=\"voltar\"><a href=\"#102\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n<h4 id=\"sec103\" class=\"MsoNormal\"><em><strong><span class=\"laranja\">Defini\u00e7\u00e3o do Objetivo<\/span><\/strong><\/em><\/h4>\n<ul><span class=\"MsoNormal2\">Comparar a qualidade de produ\u00e7\u00e3o entre o <strong><span class=\"laranja\">torno TB303<\/span><\/strong> e o <strong><span class=\"laranja\">torno TH605<\/span><\/strong>, quantificando regeitados e avaliando a precis\u00e3o dimensional, para identificar qual das m\u00e1quinas oferece melhores condi\u00e7\u00f5es para a produ\u00e7\u00e3o da pe\u00e7a <strong><span class=\"laranja\">XT3A2<\/span><\/strong>.<\/span><\/ul>\n<p class=\"voltar\"><a href=\"#103\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n<h4 id=\"sec104\" class=\"MsoNormal\"><em><strong><span class=\"laranja\">Crit\u00e9rios para a An\u00e1lise<\/span><\/strong><\/em><\/h4>\n<ul>  <span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Taxa de Rejei\u00e7\u00e3o<\/span><\/strong> &#8211; avaliar a quantidade de pe\u00e7as produzidas com defeitos em cada m\u00e1quina, calculando a taxa de rejei\u00e7\u00e3o em rela\u00e7\u00e3o ao total de pe\u00e7as produzidas.<\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Precis\u00e3o Dimensional<\/span><\/strong> &#8211; medir a varia\u00e7\u00e3o em rela\u00e7\u00e3o \u00e0s dimens\u00f5es especificadas da pe\u00e7a <strong><span class=\"laranja\">XT3A2<\/span><\/strong> em cada m\u00e1quina, identificando qual delas mant\u00e9m uma precis\u00e3o mais consistente nos par\u00e2metros dimensionais.<\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Classifica\u00e7\u00e3o de Defeitos<\/span><\/strong> &#8211; identificar e classificar os tipos de defeitos mais comuns em cada m\u00e1quina (por exemplo, desvios dimensionais, falhas de acabamento, ou defeitos de forma), para entender se existem padr\u00f5es espec\u00edficos associados a cada equipamento.<\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Impacto do Tempo de Produ\u00e7\u00e3o na Qualidade<\/span><\/strong> &#8211; verificar se o tempo de opera\u00e7\u00e3o cont\u00ednua (turnos de produ\u00e7\u00e3o) influencia a qualidade das pe\u00e7as em cada m\u00e1quina.<\/ul>\n<p class=\"voltar\"><a href=\"#104\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n<h4 id=\"sec105\" class=\"MsoNormal\"><em><strong><span class=\"laranja\">Metodologia<\/span><\/strong><\/em><\/h4>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Recolher<\/span><\/strong> uma amostra de pe\u00e7as produzidas em cada torno num mesmo per\u00edodo.<\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Realizar<\/span><\/strong> inspe\u00e7\u00f5es de qualidade para identificar e classificar os defeitos.<\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Registar<\/span><\/strong> as medidas dimensionais das pe\u00e7as para verificar a precis\u00e3o de cada m\u00e1quina.<\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Comparar<\/span><\/strong> os resultados para determinar se h\u00e1 diferen\u00e7as estatisticamente significativas na qualidade de produ\u00e7\u00e3o entre os tornos.<\/ul>\n<ul><span class=\"MsoNormal2\">Com esta an\u00e1lise, a empresa pretende identificar qual dos tornos autom\u00e1ticos <strong><span class=\"laranja\">TB303<\/span><\/strong> ou <strong><span class=\"laranja\">TH605<\/span><\/strong> proporciona uma maior fiabilidade na produ\u00e7\u00e3o da <strong><span class=\"laranja\">pe\u00e7a XT3A2<\/span><\/strong>, ajudando na tomada de decis\u00f5es sobre aloca\u00e7\u00e3o de produ\u00e7\u00e3o e poss\u00edveis interven\u00e7\u00f5es de manuten\u00e7\u00e3o ou calibra\u00e7\u00e3o das m\u00e1quinas.<\/span><\/ul>\n<p class=\"voltar\"><a href=\"#105\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<h4 id=\"sec106\" class=\"MsoNormal\"><em><strong><span class=\"laranja\">M\u00e9todos Estat\u00edsticos Recomendados<\/span><\/strong><\/em><\/h4>\n<ul><span class=\"MsoNormal2\">Para realizar uma an\u00e1lise comparativa da qualidade de produ\u00e7\u00e3o entre o <strong><span class=\"laranja\">torno TB303<\/span><\/strong> e o <strong><span class=\"laranja\">torno TH605<\/span><\/strong>, com base nos crit\u00e9rios de qualidade enunciados, \u00e9 recomendada uma combina\u00e7\u00e3o de m\u00e9todos estat\u00edsticos e c\u00e1lculos espec\u00edficos para avaliar a precis\u00e3o e a fiabilidade das m\u00e1quinas. Referem-se algumas etapas e m\u00e9todos \u00fateis para conduzir essa an\u00e1lise:<\/span><\/ul>\n\n<ul><ul><span class=\"wing02\"><\/span><a id=\"201\"><\/a><a href=\"#sec201\"><span class=\"azul2\"><u>Taxa de Defeitos (Td)<\/u><\/span><\/a><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><a id=\"202\"><\/a><a href=\"#sec202\"><span class=\"azul2\"><u>Capacidade do Processo &#8211; Cp e Cpk<\/u><\/span><\/a><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><a id=\"203\"><\/a><a href=\"#sec203\"><span class=\"azul2\"><u>Testes de Hip\u00f3teses<\/u><\/span><\/a><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><a id=\"204\"><\/a><a href=\"#sec204\"><span class=\"azul2\"><u>An\u00e1lise de Vari\u00e2ncia ANOVA<\/u><\/span><\/a><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><a id=\"205\"><\/a><a href=\"#sec205\"><span class=\"azul2\"><u>Gr\u00e1ficos de Controlo<\/u><\/span><\/a><\/ul><\/ul>\n<p class=\"voltar\"><a href=\"#106\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<ul><a id=\"sec201\"><\/a><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">C\u00e1lculo da Taxa de Defeitos (Td)<\/span><\/strong>: avaliar a quantidade de pe\u00e7as produzidas com defeitos em cada m\u00e1quina, calculando a taxa de rejei\u00e7\u00e3o em rela\u00e7\u00e3o ao total de pe\u00e7as produzidas.<\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span>Considerar n\u00famero total de pe\u00e7as produzidas <strong><span class=\"laranja\">N<\/span><\/strong> e o n\u00famero de pe\u00e7as com defeitos <strong><span class=\"laranja\">D<\/span><\/strong> em cada m\u00e1quina. A taxa de defeitos <strong><span class=\"laranja\">Td<\/span><\/strong> \u00e9 calculada para cada torno como:<\/ul>\n<table width=\"100%\" height=\"45\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"45\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_01.png\" width=\"112\" height=\"35\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span>Uma taxa de defeitos mais baixa indicar\u00e1 uma produ\u00e7\u00e3o de maior qualidade.<\/ul>\n<p class=\"voltar\"><a href=\"#sec106\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<ul><a id=\"sec202\"><\/a><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Estudo de Capacidade do Processo &#8211; Cp e Cpk<\/span><\/strong> para <b>Precis\u00e3o Dimensional<\/b><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span>Para avaliar a precis\u00e3o dimensional de cada m\u00e1quina, \u00e9 fundamental medir as dimens\u00f5es principais da <strong><span class=\"laranja\">pe\u00e7a XT3A2<\/span><\/strong> (como di\u00e2metro e comprimento) e comparar com as especifica\u00e7\u00f5es de toler\u00e2ncia:<\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Registar<\/span><\/strong> medi\u00e7\u00f5es das dimens\u00f5es cr\u00edticas das pe\u00e7as de cada torno atrav\u00e9s de amostragem.<\/ul><\/ul><ul>\n<ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Calcular<\/span><\/strong> o desvio padr\u00e3o (<strong><span class=\"laranja\">&sigma;<\/span><\/strong>) das medi\u00e7\u00f5es para cada torno e comparar com as toler\u00e2ncias da pe\u00e7a a fim de calcular a <b>capacidade do processo (Cp)<\/b>:<\/ul><\/ul>\n<table width=\"100%\" height=\"45\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"45\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_02.png\" width=\"500\" height=\"35\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Calcular<\/span><\/strong> tamb\u00e9m o <b>\u00edndice de capacidade centrada (Cpk)<\/b>, que considera o desvio da m\u00e9dia (<strong><span class=\"laranja\">&mu;<\/span><\/strong>) em rela\u00e7\u00e3o aos limites de especifica\u00e7\u00e3o:<\/ul><\/ul>\n<table width=\"100%\" height=\"45\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"45\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_03.png\" width=\"600\" height=\"35\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span>Um valor de <b>Cp<\/b> e <b>Cpk<\/b> superior a <b>1<\/b> indica que o processo \u00e9 capaz de produzir dentro das especifica\u00e7\u00f5es.<\/ul>\n<p class=\"voltar\"><a href=\"#sec106\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<ul><a id=\"sec203\"><\/a><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Testes de Hip\u00f3tese para Comparar M\u00e1quinas<\/span><\/strong><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span>Para avaliar se as diferen\u00e7as observadas na qualidade s\u00e3o estatisticamente significativas:<\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Realizar<\/span><\/strong> um <b>teste t de duas amostras<\/b> (se os dados forem normais) ou um <b>teste de Mann-Whitney<\/b> (se n\u00e3o forem) para comparar as m\u00e9dias das medidas dimensionais e determinar se h\u00e1 uma diferen\u00e7a significativa entre as duas m\u00e1quinas.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Comparar<\/span><\/strong> as taxas de defeitos usando por exemplo, um <b>teste Z de propor\u00e7\u00f5es<\/b> para verificar se as diferen\u00e7as entre as taxas de rejei\u00e7\u00e3o das duas m\u00e1quinas s\u00e3o estatisticamente significativas.<\/ul><\/ul>\n<p class=\"voltar\"><a href=\"#sec106\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<ul><a id=\"sec204\"><\/a><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">An\u00e1lise de Vari\u00e2ncia ANOVA<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>Se existirem v\u00e1rios tipos de defeitos e o objetivo for compreender como cada tipo afeta cada m\u00e1quina, uma <b>ANOVA de um fator<\/b> poder\u00e1 ser \u00fatil para ver se h\u00e1 varia\u00e7\u00e3o significativa entre os tipos de defeito em cada m\u00e1quina.<\/ul><\/ul>\n<p class=\"voltar\"><a href=\"#sec106\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<ul><a id=\"sec205\"><\/a><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Gr\u00e1ficos de Controle de Qualidade<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>Para monitorizar a qualidade ao longo do tempo usar <b>gr\u00e1ficos de controle<\/b> (como o gr\u00e1fico X-barra e o gr\u00e1fico de desvio padr\u00e3o <strong><span class=\"laranja\">&sigma;<\/span><\/strong> para cada torno, para visualizar se os processos est\u00e3o est\u00e1veis ao longo do tempo.<\/ul><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span>Estes m\u00e9todos em conjunto proporcionam uma an\u00e1lise completa e s\u00f3lida sobre a qualidade de produ\u00e7\u00e3o das duas m\u00e1quinas e ajudam a identificar qual delas apresenta melhor desempenho para a fabrica\u00e7\u00e3o da <strong><span class=\"laranja\">pe\u00e7a XT3A2<\/span><\/strong>.<\/ul>\n<p class=\"voltar\"><a href=\"#sec106\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<h4 id=\"sec107\" class=\"MsoNormal\"><em><strong><span class=\"laranja\">Estudo de Caso &#8211; Problema<\/span><\/strong><\/em><\/h4>\n<ul><span class=\"MsoNormal2\">Os dados dispon\u00edveis \u00e0 data s\u00e3o os que constam do quadro seguinte:<\/span><\/ul>\n<table width=\"100%\" height=\"314\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_04.png\" width=\"240\" height=\"304\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><span class=\"MsoNormal2\">Com base na tabela apresenta-se o gr\u00e1fico comparativo das duas m\u00e1quinas, <strong><span class=\"laranja\">TB303<\/span><\/strong> e <strong><span class=\"laranja\">TH605<\/span><\/strong>, com o n\u00famero de defeitos di\u00e1rios ao longo dos 22 dias. <\/span><\/ul>\n<table width=\"100%\" height=\"337\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_05.png\" width=\"600\" height=\"327\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><span class=\"MsoNormal2\">Este gr\u00e1fico permite observar as flutua\u00e7\u00f5es di\u00e1rias no n\u00famero de defeitos e identificar padr\u00f5es ou tend\u00eancias de qualidade entre as duas m\u00e1quinas.<\/span><\/ul>\n\n<h4 id=\"400\" class=\"MsoNormal\"><strong><span class=\"verde2\">Estudo de Caso &#8211; An\u00e1lise<\/span><\/strong><\/h4>\n\n\n<ul><ul><span class=\"wing02\"><\/span><a id=\"206\"><\/a><a href=\"#sec206\"><span class=\"azul2\"><u>C\u00e1lculo da taxa de defeitos<\/u><\/span><\/a><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><a id=\"207\"><\/a><a href=\"#sec207\"><span class=\"azul2\"><u>C\u00e1lculo da Capacidade de cada Processo<\/u><\/span><\/a><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><a id=\"208\"><\/a><a href=\"#sec208\"><span class=\"azul2\"><u>Testes Estat\u00edsticos<\/u><\/span><\/a><\/ul><\/ul>\n<p class=\"voltar\"><a href=\"#107\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n\n<ul><a id=\"sec206\"><\/a><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">C\u00e1lculo da taxa de defeitos<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Somar o Total de Defeitos<\/span><\/strong><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span>Primeiro, somamos o n\u00famero total de defeitos registados para cada m\u00e1quina ao longo dos 22 dias.<\/ul><\/ul>\n<table width=\"100%\" height=\"50\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"50\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_06.png\" width=\"283\" height=\"40\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Calcular o Total de Pe\u00e7as Produzidas<\/span><\/strong><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span>Se tivermos um n\u00famero fixo de pe\u00e7as produzidas por dia em cada m\u00e1quina, por exemplo, 100 pe\u00e7as por dia, o total de pe\u00e7as produzidas em 22 dias seria:<\/ul><\/ul>\n<table width=\"100%\" height=\"25\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"25\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_07.png\" width=\"327\" height=\"15\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Calcular a Taxa de Defeitos<\/span><\/strong><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span>A taxa de defeitos <strong><span class=\"laranja\">Td<\/span><\/strong> para cada m\u00e1quina \u00e9 calculada dividindo o n\u00famero total de defeitos pelo n\u00famero total de pe\u00e7as produzidas, multiplicado por 100 para obter a percentagem:<\/ul><\/ul>\n<table width=\"100%\" height=\"80\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_08.png\" width=\"215\" height=\"70\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span>Uma taxa de defeitos mais baixa indicar\u00e1 uma produ\u00e7\u00e3o de maior qualidade.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Consist\u00eancia de produ\u00e7\u00e3o<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">C\u00e1lculo da M\u00e9dia Di\u00e1ria de Defeitos<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>A m\u00e9dia indica o valor central ou esperado de defeitos di\u00e1rios.<\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"40\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"40\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_09.png\" width=\"514\" height=\"30\" \/><\/div><\/td><\/tr>\n<\/table>\n<table width=\"100%\" height=\"40\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"40\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_10.png\" width=\"486\" height=\"30\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">C\u00e1lculo do Desvio Padr\u00e3o &sigma;<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>O desvio padr\u00e3o <strong><span class=\"laranja\">&sigma;<\/span><\/strong> mede a dispers\u00e3o dos defeitos di\u00e1rios em rela\u00e7\u00e3o \u00e0 m\u00e9dia.<\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"60\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_11.png\" width=\"257\" height=\"50\" \/><\/div><\/td><\/tr>\n<\/table>\n<table width=\"100%\" height=\"60\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_12.png\" width=\"255\" height=\"50\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>Um <b>desvio padr\u00e3o baixo<\/b> indica que a produ\u00e7\u00e3o est\u00e1 mais consistente (com pouca varia\u00e7\u00e3o), enquanto um <b>desvio padr\u00e3o alto<\/b> indica uma produ\u00e7\u00e3o menos consistente.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">C\u00e1lculo do Coeficiente de varia\u00e7\u00e3o<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>O <b>coeficiente de varia\u00e7\u00e3o<\/b> \u00e9 uma medida de consist\u00eancia relativa e \u00e9 calculado dividindo o desvio padr\u00e3o pela m\u00e9dia. Ele \u00e9 especialmente \u00fatil para comparar a variabilidade relativa entre as duas m\u00e1quinas.<\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"35\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"35\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_13.png\" width=\"222\" height=\"25\" \/><\/div><\/td><\/tr>\n<\/table>\n<table width=\"100%\" height=\"35\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"35\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_14.png\" width=\"222\" height=\"25\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>Um Coeficiente de Varia\u00e7\u00e3o <strong><span class=\"laranja\">CV<\/span><\/strong> menor indica maior consist\u00eancia, pois mostra uma menor varia\u00e7\u00e3o em rela\u00e7\u00e3o \u00e0 m\u00e9dia.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">An\u00e1lise dos resultados<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><b>Torno (TB303)<\/b><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>Desvio padr\u00e3o <b>&sigma;<\/b> = 1,362<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>Coeficiente de varia\u00e7\u00e3o <b>CV<\/b> = 65,59%<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><b>Torno (TH605)<\/b><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>Desvio padr\u00e3o <b>&sigma;<\/b> = 1,667<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>Coeficiente de varia\u00e7\u00e3o <b>CV<\/b> = 61,13%<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>A <strong><span class=\"laranja\">torno TH605<\/span><\/strong> \u00e9 mais consistente, pois tem um coeficiente de varia\u00e7\u00e3o mais baixo, indicando menor variabilidade relativa no processo de produ\u00e7\u00e3o.<\/ul><\/ul><\/ul>\n<p class=\"voltar\"><a href=\"#400\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<ul><a id=\"sec207\"><\/a><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">C\u00e1lculo da Capacidade de cada Processo<\/span><\/strong><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span>Os \u00edndices <strong><span class=\"laranja\">Cp<\/span><\/strong> e <strong><span class=\"laranja\">Cpk<\/span><\/strong>. medem a capacidade de um processo para produzir pe\u00e7as dentro das especifica\u00e7\u00f5es de toler\u00e2ncia. Assim para o caso em an\u00e1lise <strong><span class=\"laranja\">TB303<\/span><\/strong> e <strong><span class=\"laranja\">TH605<\/span><\/strong> precisamos:<\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Recolher dados de Precis\u00e3o Dimensional<\/span><\/strong><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span>Medir uma dimens\u00e3o cr\u00edtica da pe\u00e7a <strong><span class=\"laranja\">XT3A2<\/span><\/strong>, como o di\u00e2metro, em v\u00e1rias amostras (por exemplo, 30 pe\u00e7as produzidas em cada m\u00e1quina).<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span>Estas medi\u00e7\u00f5es ser\u00e3o usadas para calcular a m\u00e9dia e o desvio padr\u00e3o do processo de cada m\u00e1quina.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Obter Especifica\u00e7\u00f5es de Toler\u00e2ncia<\/span><\/strong><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span>Identificar a dimens\u00e3o nominal e os limites de toler\u00e2ncia da dimens\u00e3o cr\u00edtica. Por exemplo, se a especifica\u00e7\u00e3o para o di\u00e2metro \u00e9 de <b>50 mm<\/b> com uma toler\u00e2ncia de <b>\u00b10,5 mm<\/b>, temos:<\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Limite Superior de Toler\u00e2ncia <b>LST<\/b> = 50,5 mm<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Limite Inferior de Toler\u00e2ncia <b>LIT<\/b> = 49,5 mm<\/ul><\/ul><\/ul>\n\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">C\u00e1lculo do \u00cdndice de Capacidade do Processo C<sub>p<\/sub><\/span><\/strong><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span>O \u00edndice C<sub>p<\/sub>&ge;1 indica que o processo \u00e9 capaz de produzir pe\u00e7as dentro das especifica\u00e7\u00f5es, se estiver centrado.<\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Para o <strong><span class=\"laranja\">TB303<\/span><\/strong> considerando as leituras dimensionais realizadas:<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span><b>M\u00e9dia<\/b> =50 mm<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span><b>Desvio padr\u00e3o<\/b> = 0,1 mm<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span><b>Limites de toler\u00e2ncia<\/b> [49,5 mm; 50,5 mm]<\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"40\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"40\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_15.png\" width=\"263\" height=\"30\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Para o <strong><span class=\"laranja\">TH605<\/span><\/strong> considerando as leituras dimensionais realizadas:<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span><b>M\u00e9dia<\/b> =50 mm<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span><b>Desvio padr\u00e3o<\/b> = 0,11 mm<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span><b>Limites de toler\u00e2ncia<\/b> [49,5 mm; 50,5 mm]<\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"40\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"40\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_16.png\" width=\"265\" height=\"30\" \/><\/div><\/td><\/tr>\n<\/table>\n\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">C\u00e1lculo do \u00cdndice de Capacidade Centrando o Processo C<sub>pk<\/sub><\/span><\/strong><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span>Um valor de  C<sub>pk<\/sub>&ge; <b>1<\/b>   sugere que o processo \u00e9 capaz de produzir dentro das especifica\u00e7\u00f5es, mesmo que n\u00e3o esteja perfeitamente centrado.<\/ul><\/ul>\n<table width=\"100%\" height=\"105\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_17.png\" width=\"208\" height=\"95\" \/><\/div><\/td><\/tr>\n<\/table>\n<table width=\"100%\" height=\"105\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_18.png\" width=\"208\" height=\"95\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Interpreta\u00e7\u00e3o<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Um <b>Cp<\/b> e <b>Cpk<\/b> de 1,67 indicam que o <strong><span class=\"laranja\">torno TB303<\/span><\/strong> tem um processo capaz e centrado, com um bom controlo de qualidade para produzir dentro das especifica\u00e7\u00f5es.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Um <b>Cp<\/b> e <b>Cpk<\/b> de 1,52 indicam que o <strong><span class=\"laranja\">torno TH605<\/span><\/strong> tem um processo capaz e centrado, com um bom controlo de qualidade para produzir dentro das especifica\u00e7\u00f5es.<\/ul><\/ul><\/ul>\n<p class=\"voltar\"><a href=\"#400\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<ul><a id=\"sec208\"><\/a><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Testes Estat\u00edsticos<\/span><\/strong><\/ul>\n\n<ul><ul><ul><span class=\"wing03\"><\/span><a id=\"301\"><\/a><a href=\"#sec301\"><span class=\"azul2\"><u>Teste <b>t<\/b> de duas Amostras<\/u><\/span><\/a><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><a id=\"302\"><\/a><a href=\"#sec302\"><span class=\"azul2\"><u>Teste <b>F<\/b><\/u><\/span><\/a><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><a id=\"303\"><\/a><a href=\"#sec303\"><span class=\"azul2\"><u>Teste <b>Z<\/b> <\/u><\/span><\/a><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><a id=\"304\"><\/a><a href=\"#sec304\"><span class=\"azul2\"><u>Teste de <b>Mann-Whiteney<\/b> <\/u><\/span><\/a><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><a id=\"305\"><\/a><a href=\"#sec305\"><span class=\"azul2\"><u>Teste de <b>ANOVA<\/b> de um fator<\/u><\/span><\/a><\/ul><\/ul><\/ul>\n\n<ul><ul><a id=\"sec301\"><\/a><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Teste t de duas amostras<\/span><\/strong><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span>O <b>teste t de student<\/b> de duas amostras verifica se as m\u00e9dias de duas popula\u00e7\u00f5es s\u00e3o estatisticamente diferentes. No exemplo em an\u00e1lise, vamos comparar:<\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span><strong><span class=\"laranja\">Torno TB303<\/span><\/strong> \u2013 m\u00e9dia de defeitos = 2,0(45) e desvio padr\u00e3o = 1,361976<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span><strong><span class=\"laranja\">Torno TH605 <\/span><\/strong> \u2013 m\u00e9dia de defeitos = 2,(72) e desvio padr\u00e3o = 1,667100<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Hip\u00f3teses<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Hip\u00f3tese nula (H0)<\/span><\/strong>: as m\u00e9dias dos defeitos dos itens <strong><span class=\"laranja\">TB303<\/span><\/strong> e <strong><span class=\"laranja\">TH605<\/span><\/strong> s\u00e3o iguais.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Hip\u00f3tese alternativa (H1)<\/span><\/strong>: as m\u00e9dias dos defeitos dos itens <strong><span class=\"laranja\">TB303<\/span><\/strong> e <strong><span class=\"laranja\">TH605<\/span><\/strong> s\u00e3o diferentes.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>O <b>teste t<\/b> compara as m\u00e9dias das duas amostras e avalia se a diferen\u00e7a entre elas pode ser explicada pela variabilidade aleat\u00f3ria dos dados. Para isso, utiliza-se a seguinte f\u00f3rmula:<\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"245\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_19.png\" width=\"534\" height=\"235\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Procedimento Realizado<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>Com base nos dados dispon\u00edveis, realizamos os seguintes passos:<\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Calcular as m\u00e9dias das duas amostras<\/span><\/strong><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span>M\u00e9dia dos defeitos para <strong><span class=\"laranja\">TB303<\/span><\/strong> (<span class=\"sobrelinhado\">X<sub>1<\/sub><\/span>)<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span>M\u00e9dia dos defeitos para <strong><span class=\"laranja\">TH605<\/span><\/strong> (<span class=\"sobrelinhado\">X<sub>2<\/sub><\/span>)<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Calcular as vari\u00e2ncias das duas amostras<\/span><\/strong><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span>Vari\u00e2ncia dos defeitos para  <strong><span class=\"laranja\">TB303<\/span><\/strong> (&sigma;<sub>1<\/sub><sup>2<\/sup>)<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span>Vari\u00e2ncia dos defeitos para  <strong><span class=\"laranja\">TH605<\/span><\/strong> (&sigma;<sub>2<\/sub><sup>2<\/sup>)<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Determinar os tamanhos das amostras<\/span><\/strong><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span>Ambas as amostras t\u00eam o mesmo n\u00famero de observa\u00e7\u00f5es (neste caso, 22 dias de observa\u00e7\u00f5es).<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Calcular o valor da estat\u00edstica <b>t<\/b>.<\/span><\/strong><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span>Substituir os valores na f\u00f3rmula do <b>teste t de student<\/b><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Resultados obtidos<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Estat\u00edstica t<\/span><\/strong>:  -1,48557<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span>Este valor indica que a m\u00e9dia dos defeitos do item <strong><span class=\"laranja\">TB303<\/span><\/strong> \u00e9 um pouco inferior \u00e0 m\u00e9dia dos defeitos do item <strong><span class=\"laranja\">TH605<\/span><\/strong>, mas n\u00e3o de forma suficientemente forte para sugerir uma diferen\u00e7a significativa.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Valor p<\/span><\/strong>:  0,14486<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span>Este valor \u00e9 maior que o n\u00edvel de signific\u00e2ncia comum de <b>0,05<\/b>, o que indica que n\u00e3o h\u00e1 uma evid\u00eancia forte para rejeitar a hip\u00f3tese nula.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Conclus\u00e3o<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span>Como o <b>valor p<\/b> \u00e9 superior a <b>0,05<\/b>, conclu\u00edmos que a diferen\u00e7a observada nas m\u00e9dias dos defeitos entre os dois itens <b>pode ser atribu\u00edda ao acaso<\/b>, n\u00e3o havendo evid\u00eancia suficiente para afirmar que existe uma diferen\u00e7a real entre os defeitos dos tornos <strong><span class=\"laranja\">TB303<\/span><\/strong> e <strong><span class=\"laranja\">TH605<\/span><\/strong>. Portanto, <b>mantemos a hip\u00f3tese nula, que assume que as m\u00e9dias s\u00e3o iguais<\/b>.<\/ul><\/ul>\n<p class=\"voltar\"><a href=\"#sec208\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<ul><ul><a id=\"sec302\"><\/a><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Teste F (Fisher)<\/span><\/strong><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span>O <b>teste F<\/b> \u00e9 utilizado para comparar as vari\u00e2ncias de duas amostras e verificar se elas s\u00e3o significativamente diferentes. Com base nos dados dos defeitos dos itens <strong><span class=\"laranja\">TB303<\/span><\/strong> e <strong><span class=\"laranja\">TH605<\/span><\/strong>, o <b>teste F<\/b> pode indicar se existe uma diferen\u00e7a significativa entre as variabilidades (ou dispers\u00f5es) das duas amostras.<\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Hip\u00f3teses<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Hip\u00f3tese nula (H0)<\/span><\/strong>: as vari\u00e2ncias dos defeitos dos itens <strong><span class=\"laranja\">TB303<\/span><\/strong> e <strong><span class=\"laranja\">TH605<\/span><\/strong> s\u00e3o iguais<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Hip\u00f3tese alternativa (H1)<\/span><\/strong>: as vari\u00e2ncias dos defeitos dos itens <strong><span class=\"laranja\">TB303<\/span><\/strong> e <strong><span class=\"laranja\">TH605<\/span><\/strong> s\u00e3o diferentes.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">C\u00e1lcular a estat\u00edstica F<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>O <b>valor da estat\u00edstica F<\/b> \u00e9 calculado como a raz\u00e3o entre as vari\u00e2ncias das duas amostras:<\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"175\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_20.png\" width=\"513\" height=\"165\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Procedimento Realizado<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>Para os dados dos defeitos dos itens TB303 e TH605, os seguintes passos foram executados:<\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Calcular as vari\u00e2ncias das duas amostras:<\/span><\/strong><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span>Vari\u00e2ncia dos defeitos para  <strong><span class=\"laranja\">TB303<\/span><\/strong> (&sigma;<sub>1<\/sub><sup>2<\/sup>)<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span>Vari\u00e2ncia dos defeitos para  <strong><span class=\"laranja\">TH605<\/span><\/strong> (&sigma;<sub>2<\/sub><sup>2<\/sup>)<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Calcular a estat\u00edstica F:<\/span><\/strong><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span>A <b>vari\u00e2ncia maior<\/b> foi usada no numerador para garantir que <b>F \u2265 1<\/b>.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Determinar o valor p:<\/span><\/strong><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span>Com a <b>estat\u00edstica F<\/b> e os <b>graus de liberdade das duas amostras<\/b> (df<sub>1<\/sub>=n<sub>1<\/sub>\u22121 e df<sub>2<\/sub>=n<sub>2<\/sub>\u22121), calcula-se o <b>valor p<\/b>. Este valor indica a probabilidade de observarmos uma diferen\u00e7a grande entre as vari\u00e2ncias das amostras, caso a hip\u00f3tese nula seja verdadeira.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Resultados Obtidos<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Estat\u00edstica F<\/span><\/strong>:  2,207<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span>Este valor sugere que a vari\u00e2ncia dos defeitos de um dos itens \u00e9 maior que a do outro item, mas n\u00e3o de forma significativa.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Valor p<\/span><\/strong>:  0,145<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span>Com este valor, que \u00e9 maior do que o n\u00edvel de signific\u00e2ncia comum de 0,05, n\u00e3o rejeitamos a hip\u00f3tese nula. Assim, n\u00e3o temos evid\u00eancia suficiente para afirmar que as vari\u00e2ncias dos defeitos dos itens TB303 e TH605 s\u00e3o diferentes.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Conclus\u00e3o<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>Como o <b>valor p<\/b> \u00e9 superior \u00e0 <b>signific\u00e2ncia 0,05<\/b>, conclu\u00edmos que a diferen\u00e7a observada entre as vari\u00e2ncias dos defeitos dos itens <strong><span class=\"laranja\">TB303<\/span><\/strong> e <strong><span class=\"laranja\">TH605<\/span><\/strong> n\u00e3o \u00e9 estatisticamente significativa. Em termos pr\u00e1ticos, isto significa que <b>n\u00e3o temos provas para afirmar que um dos itens tem uma variabilidade de defeitos diferente do outro<\/b>.<\/ul><\/ul><\/ul>\n<p class=\"voltar\"><a href=\"#sec208\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<ul><ul><a id=\"sec303\"><\/a><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Teste Z<\/span><\/strong><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span>Realizar um <b>teste Z de propor\u00e7\u00f5es<\/b> para verificar se a diferen\u00e7a entre as taxas de defeitos das duas m\u00e1quinas \u00e9 estatisticamente significativa.<\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Calcular as Propor\u00e7\u00f5es de Defeitos<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>A <b>propor\u00e7\u00e3o de defeitos<\/b> para cada m\u00e1quina \u00e9 dada por<\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"45\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"45\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_21.png\" width=\"206\" height=\"35\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Hip\u00f3teses<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Hip\u00f3tese nula (H0)<\/span><\/strong>: as propor\u00e7\u00f5es de defeitos nas duas m\u00e1quinas s\u00e3o iguais, ou seja, p<sub>1<\/sub> = p<sub>2<\/sub>.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Hip\u00f3tese alternativa (H1)<\/span><\/strong>: as propor\u00e7\u00f5es de defeitos nas duas m\u00e1quinas s\u00e3o diferentes, ou seja, p<sub>1<\/sub>&ne; p <sub>2<\/sub>.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Calcular o Estat\u00edstico do Teste<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>A f\u00f3rmula do teste de propor\u00e7\u00f5es para calcular o valor estat\u00edstico \u00e9:<\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"225\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_22.png\" width=\"390\" height=\"215\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>Este valor representa o tamanho da diferen\u00e7a entre propor\u00e7\u00f5es, normalizada pelo desvio padr\u00e3o.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Obter o p-valor e Tomar uma Decis\u00e3o<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>Com o <b>valor de Z<\/b>, obt\u00e9m-se o <b>p-valor<\/b> correspondente.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>Compara-se o <b>p-valor<\/b> com o <b>n\u00edvel de signific\u00e2ncia<\/b> (usualmente 0,05).<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span><b>Se<\/b> o <b>p-valor<\/b> for <b>menor<\/b> que o <b>n\u00edvel de signific\u00e2ncia<\/b>, rejeita-se a hip\u00f3tese nula e conclui-se que existe uma diferen\u00e7a significativa entre as propor\u00e7\u00f5es.<\/ul><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span>Este m\u00e9todo assume que ambas as amostras s\u00e3o grandes o suficiente para que a distribui\u00e7\u00e3o da diferen\u00e7a de propor\u00e7\u00f5es se aproxime de uma distribui\u00e7\u00e3o normal. <\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span>Em amostras pequenas, como \u00e9 o caso, \u00e9 mais apropriado usar m\u00e9todos exatos, como o <b>Teste Z<\/b> de Fisher.<\/ul><\/ul>\n<p class=\"voltar\"><a href=\"#sec208\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<ul><ul><a id=\"sec304\"><\/a><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Teste de Mann-Whitney<\/span><\/strong><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span>O <b>teste de Mann-Whitney<\/b> \u00e9 um teste n\u00e3o param\u00e9trico usado para comparar se duas amostras independentes t\u00eam diferen\u00e7as significativas nas suas medianas. Este teste \u00e9 \u00fatil quando n\u00e3o podemos assumir que as amostras seguem uma distribui\u00e7\u00e3o normal.<\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Defini\u00e7\u00e3o das Amostras<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>Os dados fornecidos t\u00eam duas colunas de defeitos registados em duas linhas de produ\u00e7\u00e3o: &#8220;Defeitos&#8221; <strong><span class=\"laranja\">TB303<\/span><\/strong> e &#8220;Defeitos&#8221; <strong><span class=\"laranja\">TH605<\/span><\/strong>. Consideramos estas duas colunas como as nossas amostras.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Hip\u00f3teses<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Hip\u00f3tese nula (H0)<\/span><\/strong>: <b>n\u00e3o existe<\/b> diferen\u00e7a significativa nas medianas dos defeitos entre os tornos <strong><span class=\"laranja\">TB303<\/span><\/strong> e <strong><span class=\"laranja\">TH605<\/span><\/strong>.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Hip\u00f3tese alternativa (H1)<\/span><\/strong>: <b>existe<\/b> uma diferen\u00e7a significativa nas medianas dos defeitos entre os tornos <strong><span class=\"laranja\">TB303<\/span><\/strong> e <strong><span class=\"laranja\">TH605<\/span><\/strong><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Calcular a estat\u00edstica U<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>A <b>f\u00f3rmula para U<\/b> depende dos (ranks) dos valores das amostras combinadas.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>Sejam <b>n<sub>A<\/sub><\/b> e <b>n<sub>B<\/sub><\/b>, os tamanhos de cada uma das amostras.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>Combinar as amostras <strong><span class=\"laranja\">TB303<\/span><\/strong> e <strong><span class=\"laranja\">TH605<\/span><\/strong> ordenando-as de forma crescente.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>Atribuir ranks aos valores combinados das duas amostras, atribuindo o mesmo rank a valores iguais (empatados)<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>Calcular o somat\u00f3rio dos ranks para cada amostra considerando <b>R<sub>A<\/sub><\/b> a soma dos ranks dos elementos da amostra <strong><span class=\"laranja\">TB303<\/span><\/strong> e <b>R<sub>B<\/sub><\/b> a soma dos ranks dos elementos da amostra <strong><span class=\"laranja\">TH605<\/span><\/strong>.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>A <b>estat\u00edstica U<\/b> para cada amostra \u00e9 calculada pelas f\u00f3rmulas:<\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"160\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_23.png\" width=\"272\" height=\"150\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>O menor dos valores <b>U<sub>A<\/sub><\/b> e <b>U<sub>B<\/sub><\/b> \u00e9 usado como estat\u00edstica do <b>teste U<\/b>.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Interpreta\u00e7\u00e3o do Valor de U<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>Se o <b>valor de U for significativamente pequeno<\/b> comparado com o valor cr\u00edtico <b>para o n\u00edvel de signific\u00e2ncia escolhido<\/b>, rejeita-se a hip\u00f3tese nula (de que as duas distribui\u00e7\u00f5es s\u00e3o iguais), indicando que as amostras provavelmente t\u00eam distribui\u00e7\u00f5es diferentes.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">C\u00e1lculo do valor p<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>Para amostras pequenas (tipicamente n<sub>A<\/sub> \u2264 20 e n<sub>B<\/sub> \u2264 20), tabelas de valores cr\u00edticos do teste de Mann-Whitney s\u00e3o frequentemente utilizadas para determinar o <b>valor p<\/b>. Nestas tabelas, encontra-se o <b>valor p<\/b> correspondente ao <b>valor de U<\/b> e ao n\u00edvel de signific\u00e2ncia desejado <b>\u03b1<\/b>.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>Para amostras maiores (geralmente n<sub>A<\/sub> > 20 e n<sub>B<\/sub> > 20) a <b>distribui\u00e7\u00e3o U<\/b> tende a aproximar-se de uma <b>distribui\u00e7\u00e3o normal<\/b> pelo que deve ser usada uma aproxima\u00e7\u00e3o para calcular o <b>valor p<\/b> de forma mais eficiente<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>A aproxima\u00e7\u00e3o normal \u00e9 calculada com uma m\u00e9dia e desvio padr\u00e3o definidos da seguinte forma:<\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">M\u00e9dia de U:<\/span><\/strong><\/ul><\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"41\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"40\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_23a.png\" width=\"87\" height=\"31\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Desvio padr\u00e3o de U<\/span><\/strong><\/ul><\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"45\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"40\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_23b.png\" width=\"180\" height=\"35\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">C\u00e1lculo do valor Z<\/span><\/strong>: com base nesses valores, o <b>valor de Z<\/b> (estat\u00edstica padronizada) \u00e9 calculado como:<\/ul><\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"36\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"36\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_23c.png\" width=\"63\" height=\"26\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span>Se houver empates entre os postos (ranks), o c\u00e1lculo de \u03c3U  pode necessitar de um ajuste adicional.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Obten\u00e7\u00e3o do valor p<\/span><\/strong>: uma vez calculado <b>Z<\/b>, o <b>valor p<\/b> \u00e9 obtido consultando a distribui\u00e7\u00e3o normal padr\u00e3o. Para um teste bilateral, o <b>valor p<\/b> corresponde a:<\/ul><\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"24\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"24\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_23d.png\" width=\"128\" height=\"15\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span>onde <b>P(Z\u2265\u2223Z\u2223)<\/b> \u00e9 a probabilidade acumulada na cauda da distribui\u00e7\u00e3o normal al\u00e9m de <b>\u2223Z\u2223<\/b>.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span>Este m\u00e9todo permite calcular o <b>valor p<\/b> para verificar a signific\u00e2ncia do <b>teste de Mann-Whitney<\/b> em amostras grandes, usando a aproxima\u00e7\u00e3o normal.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">An\u00e1lise pr\u00e1tica<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>Relembrando as dimens\u00f5es das &#8220;amostras de defeitos&#8221; dos tornos <strong><span class=\"laranja\">TB303<\/span><\/strong> e <strong><span class=\"laranja\">TH605<\/span><\/strong> as tabelas de valores cr\u00edticos do teste de Mann-Whitney s\u00e3o frequentemente utilizadas para determinar o <b>valor p<\/b> correspondente ao <b>valor U<\/b> calculado e ao n\u00edvel de signific\u00e2ncia calculado.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span><b>Estat\u00edstica de teste<\/b>: 180,5<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span><b>Valor-p<\/b>: 0,141<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Interpreta\u00e7\u00e3o do Resultado:<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>O <b>valor-p<\/b> obtido <b>0,141<\/b> \u00e9 maior do que o <b>n\u00edvel de signific\u00e2ncia<\/b> habitual de <b>0,05<\/b>. Isto indica que n\u00e3o h\u00e1 evid\u00eancias suficientes para rejeitar a hip\u00f3tese nula.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>Em termos pr\u00e1ticos, isto significa que <b>n\u00e3o podemos afirmar que existe uma diferen\u00e7a estatisticamente significativa<\/b> entre as medianas dos defeitos nas duas linhas de produ\u00e7\u00e3o.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Conclus\u00e3o<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>Com base nos resultados, as diferen\u00e7as observadas nos defeitos entre os tornos <strong><span class=\"laranja\">TB303<\/span><\/strong> e <strong><span class=\"laranja\">TH605<\/span><\/strong> podem ser atribu\u00eddas ao acaso. Portanto, n\u00e3o temos suporte estat\u00edstico para afirmar que um dos tornos tem um desempenho consistentemente diferente do outro em termos de defeitos registados.<\/ul><\/ul><\/ul>\n<p class=\"voltar\"><a href=\"#sec208\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<ul><ul><a id=\"sec305\"><\/a><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Teste de ANOVA de um fator<\/span><\/strong><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span>No caso de analisar duas produ\u00e7\u00f5es de uma mesma pe\u00e7a, a <b>ANOVA<\/b> pode verificar se h\u00e1 diferen\u00e7as significativas na m\u00e9dia de uma caracter\u00edstica de qualidade espec\u00edfica (como comprimento, peso, resist\u00eancia, etc.) entre as duas produ\u00e7\u00f5es. Esta an\u00e1lise ajuda a identificar se os processos de produ\u00e7\u00e3o resultam em pe\u00e7as com a mesma qualidade m\u00e9dia ou se h\u00e1 uma diferen\u00e7a significativa que poderia indicar um problema de consist\u00eancia.<\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Hip\u00f3teses<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Hip\u00f3tese nula (H0)<\/span><\/strong>: n\u00e3o h\u00e1 diferen\u00e7a significativa entre as m\u00e9dias das duas produ\u00e7\u00f5es. Isto significa que qualquer diferen\u00e7a observada \u00e9 devida ao acaso.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Hip\u00f3tese alternativa (H1)<\/span><\/strong>: existe uma diferen\u00e7a significativa entre as m\u00e9dias das duas produ\u00e7\u00f5es.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Recolha de dados:<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>Suponhamos que temos os seguintes dados:<\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"75\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_24.png\" width=\"336\" height=\"65\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Calcular as vari\u00e2ncias:<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>A <b>ANOVA de um fator<\/b> examina as seguintes vari\u00e2ncias:<\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Vari\u00e2ncia entre os grupos<\/span><\/strong>: mede a varia\u00e7\u00e3o entre as m\u00e9dias das duas produ\u00e7\u00f5es.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Vari\u00e2ncia dentro dos grupos<\/span><\/strong>: mede a varia\u00e7\u00e3o dentro de cada grupo, ou seja, a varia\u00e7\u00e3o nas medi\u00e7\u00f5es de pe\u00e7as dentro da mesma produ\u00e7\u00e3o.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho2\">Explicando os c\u00e1lculos passo a passo<\/span><\/strong><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">M\u00e9dia da Produ\u00e7\u00e3o A<\/span><\/strong><\/ul><\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"50\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"50\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_25.png\" width=\"107\" height=\"40\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">M\u00e9dia da Produ\u00e7\u00e3o B<\/span><\/strong><\/ul><\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"45\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"45\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_26.png\" width=\"100\" height=\"35\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">M\u00e9dia Geral<\/span><\/strong><\/ul><\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"45\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"45\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_27.png\" width=\"176\" height=\"35\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Soma dos Quadrados Totais (SQT)<\/span><\/strong><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span>A <b>SQT<\/b> mede a varia\u00e7\u00e3o total de todas as observa\u00e7\u00f5es em rela\u00e7\u00e3o \u00e0 m\u00e9dia geral:<\/ul><\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"45\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\"> \n   <tr>\n    <td height=\"45\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_28.png\" width=\"291\" height=\"35\" \/><\/div><\/td>\n   <\/tr>\n<\/table>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Soma dos Quadrados entre os Grupos (SQG)<\/span><\/strong><\/ul><\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"30\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"30\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_29.png\" width=\"288\" height=\"20\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Soma dos Quadrados dentro dos Grupos (SQE)<\/span><\/strong><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span>A <b>SQE<\/b> mede a varia\u00e7\u00e3o dentro de cada grupo:<\/ul><\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"45\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"45\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_30.png\" width=\"309\" height=\"35\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Graus de Liberdade<\/span><\/strong><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><ul><span class=\"wing05\"><i class=\"fa fa-check-square\"><\/i><\/span><span class=\"padleft\"><\/span><b>Graus de liberdade totais (GLT)<\/b>:<\/ul><\/ul><\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"22\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"22\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_31.png\" width=\"101\" height=\"12\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><ul><ul><ul><span class=\"wing05\"><i class=\"fa fa-check-square\"><\/i><\/span><span class=\"padleft\"><\/span><b>Graus de liberdade entre os grupos (GLG)<\/b>:<\/ul><\/ul><\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"22\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"22\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_32.png\" width=\"97\" height=\"12\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><ul><ul><ul><span class=\"wing05\"><i class=\"fa fa-check-square\"><\/i><\/span><span class=\"padleft\"><\/span><b>Graus de liberdade dentro dos grupos (GLE)<\/b>:<\/ul><\/ul><\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"22\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"22\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_33.png\" width=\"103\" height=\"12\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Vari\u00e2ncias (Quadrados M\u00e9dios)<\/span><\/strong><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><ul><span class=\"wing05\"><i class=\"fa fa-check-square\"><\/i><\/span><span class=\"padleft\"><\/span><b>Quadrado M\u00e9dio entre os Grupos (QMG)<\/b>:<\/ul><\/ul><\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"45\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"45\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_34.png\" width=\"89\" height=\"35\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><ul><ul><ul><span class=\"wing05\"><i class=\"fa fa-check-square\"><\/i><\/span><span class=\"padleft\"><\/span><b>Quadrado M\u00e9dio dentro dos Grupos (QME)<\/b>:<\/ul><\/ul><\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"45\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"45\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_35.png\" width=\"89\" height=\"35\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Calcular o valor-F<\/span><\/strong>:<\/ul><\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"45\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"45\" align=\"center\" valign=\"top\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_36.png\" width=\"63\" height=\"35\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Comparar com o Valor Cr\u00edtico e concluir:<\/span><\/strong>:<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span>Consultar a <b>tabela de distribui\u00e7\u00e3o F<\/b> para o <b>n\u00edvel de signific\u00e2ncia<\/b> desejado (por exemplo, 0,05) com os <b>graus de liberdade<\/b> <b>GLG<\/b> e <b>GLE<\/b><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span>Se <b>F calculado<\/b> for <b>maior<\/b> que o <b>valor cr\u00edtico F<\/b>, rejeitamos a hip\u00f3tese nula, indicando que h\u00e1 uma diferen\u00e7a significativa entre as m\u00e9dias das produ\u00e7\u00f5es.<\/ul><\/ul><\/ul><\/ul>\n\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Aplica\u00e7\u00e3o ao problema inicial<\/span><\/strong><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span>A <b>ANOVA de um fator<\/b> foi realizada utilizando os seguintes passos:<\/ul><\/ul><\/ul><\/ul>\n\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Defini\u00e7\u00e3o das amostras:<\/span><\/strong><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><ul><span class=\"wing05\"><i class=\"fa fa-check-square\"><\/i><\/span><span class=\"padleft\"><\/span><b>Defeitos TB303<\/b>: [4,1,3,3,1,&#8230;]<\/ul><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><ul><span class=\"wing05\"><i class=\"fa fa-check-square\"><\/i><\/span><span class=\"padleft\"><\/span><b>Defeitos TH605<\/b>: [3,1,4,1,3,&#8230;]<\/ul><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">C\u00e1lculo do F-Estat\u00edstico:<\/span><\/strong><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span>Utilizando a f\u00f3rmula da <b>ANOVA<\/b>, obtivemos um <b>valor de F<\/b> de aproximadamente <b>2,207<\/b>.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">C\u00e1lculo do valor-p:<\/span><\/strong><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span>O <b>valor-p<\/b> resultante foi de aproximadamente <b>0,145<\/b>.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Resultados<\/span><\/strong><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><ul><span class=\"wing05\"><i class=\"fa fa-check-square\"><\/i><\/span><span class=\"padleft\"><\/span><b>F-Estat\u00edstico<\/b>: 2,207<\/ul><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><ul><span class=\"wing05\"><i class=\"fa fa-check-square\"><\/i><\/span><span class=\"padleft\"><\/span><b>Valor-p<\/b>: 0,145<\/ul><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><i class=\"fa fa-arrow-circle-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Conclus\u00e3o<\/span><\/strong><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span>Com um <b>valor-p<\/b> de <b>0,145<\/b>, <b>n\u00e3o podemos rejeitar a hip\u00f3tese nula<\/b> ao <b>n\u00edvel de signific\u00e2ncia<\/b> comum de 0,05. Isto implica que n\u00e3o h\u00e1 evid\u00eancias estatisticamente significativas para afirmar que existe uma diferen\u00e7a no n\u00famero m\u00e9dio de defeitos entre os produtos <strong><span class=\"laranja\">TB303<\/span><\/strong> e <strong><span class=\"laranja\">TH605<\/span><\/strong> ao longo dos dias analisados.<\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span>Esta an\u00e1lise sugere que, com base nos dados fornecidos, <b>os defeitos observados nos dois tipos de produtos n\u00e3o diferem significativamente<\/b>.<\/ul><\/ul><\/ul><\/ul>\n<p class=\"voltar\"><a href=\"#400\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<h4 id=\"sec108\" class=\"MsoNormal\"><strong><span class=\"azul2\">Monitoriza\u00e7\u00e3o dos equipamentos<\/span><\/strong><\/h4>\n<ul><span class=\"MsoNormal21\">Para monitorizar eficazmente a produ\u00e7\u00e3o representada pelos defeitos registados para os tornos <strong><span class=\"laranja\">TB303<\/span><\/strong> e <strong><span class=\"laranja\">TH605<\/span><\/strong>, seria conveniente usar os seguintes gr\u00e1ficos de controlo:<\/span><\/ul>\n\n<ul><ul><span class=\"wing02\"><\/span><a id=\"209\"><\/a><a href=\"#sec209\"><span class=\"azul2\"><u>Gr\u00e1ficos de Controlo por Atributos (<b>Np<\/b> e <b>C<\/b>)<\/u><\/span><\/a><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><a id=\"210\"><\/a><a href=\"#sec210\"><span class=\"azul2\"><u>Gr\u00e1ficos de Controlo de M\u00e9dias e Amplitudes (<b>X-Bar<\/b> e <b>R<\/b>)<\/u><\/span><\/a><\/ul><\/ul>\n\n\n<ul>  <a id=\"sec209\"><\/a><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Gr\u00e1fico de Controlo por Atributos (NP-chart ou C-chart)<\/span><\/strong><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">NP-chart<\/span><\/strong>: Adequado se estiveres a contar o n\u00famero de itens defeituosos num lote fixo. Aqui, poderias usar um gr\u00e1fico para cada modelo, representando a quantidade de dias em que se registaram defeitos.<\/ul>\n<ul>  <span class=\"wing01\"><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">C-chart<\/span><\/strong>: Indicado para contar o n\u00famero total de defeitos por dia, quando cada defeito \u00e9 tratado individualmente. Utilizar este gr\u00e1fico ajudaria a monitorizar a variabilidade nos defeitos ao longo dos dias.\n<\/ul>\n<table width=\"100%\" height=\"338\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"middle\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_37.png\" width=\"600\" height=\"328\" \/><\/div><\/td><\/tr>\n<\/table>\n<table width=\"100%\" height=\"339\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"middle\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_38.png\" width=\"600\" height=\"329\" \/><\/div><\/td><\/tr>\n<\/table>\n<p class=\"voltar\"><a href=\"#209\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<ul><a id=\"sec210\"><\/a><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Gr\u00e1fico de Controlo de M\u00e9dias e Amplitude (X-bar e R Chart)<\/span><\/strong><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span>Se os defeitos fossem medidos em grupos ou houvesse uma distribui\u00e7\u00e3o de defeitos, poderias usar um <b>gr\u00e1fico X-bar<\/b> para acompanhar a m\u00e9dia e um <b>gr\u00e1fico R-chart<\/b> para a amplitude das medi\u00e7\u00f5es.<\/ul>\n<table width=\"100%\" height=\"330\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"middle\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_39.png\" width=\"600\" height=\"320\" \/><\/div><\/td><\/tr>\n<\/table>\n<table width=\"100%\" height=\"334\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"middle\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_40.png\" width=\"600\" height=\"324\" \/><\/div><\/td><\/tr>\n<\/table>\n<table width=\"100%\" height=\"330\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"middle\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_41.png\" width=\"600\" height=\"320\" \/><\/div><\/td><\/tr>\n<\/table>\n<table width=\"100%\" height=\"334\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"middle\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_42.png\" width=\"600\" height=\"324\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span>Com base nos <strong><span class=\"laranja\">gr\u00e1ficos de controlo de m\u00e9dias e amplitudes (X-bar e R Chart)<\/span><\/strong> apresentados, podemos tirar as seguintes conclus\u00f5es sobre a qualidade comparativa das duas produ\u00e7\u00f5es:<\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul4\">Precis\u00e3o e Consist\u00eancia<\/span><\/strong><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span>A produ\u00e7\u00e3o do <strong><span class=\"laranja\">torno TB303<\/span><\/strong> apresenta m\u00e9dias das medi\u00e7\u00f5es mais pr\u00f3ximas da cota nominal (50 mm) com uma varia\u00e7\u00e3o menor. Isto sugere que a <strong><span class=\"laranja\">TB303<\/span><\/strong> tem uma maior precis\u00e3o e consist\u00eancia na produ\u00e7\u00e3o da cota cr\u00edtica. As amplitudes s\u00e3o relativamente pequenas e est\u00e1veis, indicando um processo mais controlado.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span>A produ\u00e7\u00e3o do <strong><span class=\"laranja\">torno TH605<\/span><\/strong> mostra uma maior dispers\u00e3o nas m\u00e9dias, o que indica uma menor precis\u00e3o. As amplitudes mais elevadas e vari\u00e1veis revelam que a consist\u00eancia desta produ\u00e7\u00e3o \u00e9 inferior \u00e0 do <strong><span class=\"laranja\">torno TB303<\/span><\/strong>.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul4\">Estabilidade do Processo<\/span><\/strong><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span>O <strong><span class=\"laranja\">torno TB303<\/span><\/strong> parece ter um processo mais est\u00e1vel, com medi\u00e7\u00f5es que se mant\u00eam dentro dos limites de controlo e varia\u00e7\u00f5es reduzidas ao longo dos dias.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span><strong><span class=\"laranja\">O torno TH605<\/span><\/strong> mostra uma instabilidade maior, com amplitudes que variam de forma significativa, o que pode levar a pe\u00e7as fora das toler\u00e2ncias especificadas mais frequentemente.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul4\">Qualidade Comparativa<\/span><\/strong><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span>A produ\u00e7\u00e3o do <strong><span class=\"laranja\">torno TB303<\/span><\/strong> \u00e9 qualitativamente superior, sendo mais est\u00e1vel e consistente, garantindo maior conformidade com as especifica\u00e7\u00f5es de qualidade.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span>A produ\u00e7\u00e3o do <strong><span class=\"laranja\">torno TH605<\/span><\/strong> requer uma an\u00e1lise adicional para identificar e mitigar as fontes de varia\u00e7\u00e3o, a fim de melhorar a precis\u00e3o e a consist\u00eancia.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul4\">Conclus\u00e3o Geral<\/span><\/strong><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span>O <strong><span class=\"laranja\">torno TB303<\/span><\/strong> \u00e9 prefer\u00edvel para aplica\u00e7\u00f5es que exigem alta precis\u00e3o e controle rigoroso da qualidade. <\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span>O <strong><span class=\"laranja\">torno TH605<\/span><\/strong> poder\u00e1 precisar de melhorias no processo de produ\u00e7\u00e3o para atingir o mesmo n\u00edvel de desempenho.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Gr\u00e1fico de Tend\u00eancia<\/span><\/strong><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span>Um <b>gr\u00e1fico de tend\u00eancia<\/b> ao longo dos dias pode ajudar a visualizar qualquer padr\u00e3o ou tend\u00eancia no n\u00famero de defeitos, permitindo uma an\u00e1lise de poss\u00edveis causas recorrentes.<\/ul>\n<p class=\"voltar\"><a href=\"#108\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<h4 id=\"sec109\" class=\"MsoNormal\"><em><strong><span class=\"laranja\">Estudo e conclus\u00f5es de um novo cen\u00e1rio<\/span><\/strong><\/em><\/h4>\n<ul><span class=\"MsoNormal2\">A partir de determinada data registaram-se os valores da cota cr\u00edtica da pe\u00e7a em produ\u00e7\u00e3o e obtiveram-se os seguintes dados, representados graficamente. <\/span><\/ul>\n<table width=\"100%\" height=\"335\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"middle\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_43.png\" width=\"600\" height=\"325\" \/><\/div><\/td><\/tr>\n<\/table>\n<table width=\"100%\" height=\"281\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"middle\"><div style=\"margin-left: 0 px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/11\/estat_44.png\" width=\"600\" height=\"326\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span>Os gr\u00e1ficos apresentados ilustram duas tend\u00eancias opostas no desempenho das m\u00e1quinas:<\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span><strong><span class=\"laranja\">TB303<\/span><\/strong> &#8211; <strong><span class=\"preto\">Tend\u00eancia Positiva<\/span><\/strong>: O n\u00famero de defeitos aumenta de forma gradual ao longo dos 22 dias, sugerindo uma deteriora\u00e7\u00e3o no desempenho da m\u00e1quina. Isto pode indicar problemas emergentes, como desgaste de componentes ou necessidade de manuten\u00e7\u00e3o.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span><strong><span class=\"laranja\">TH605<\/span><\/strong> &#8211; <strong><span class=\"preto\">Tend\u00eancia Negativa<\/span><\/strong>: O n\u00famero de defeitos diminui progressivamente, indicando uma melhoria no desempenho. Este cen\u00e1rio pode estar associado a a\u00e7\u00f5es corretivas eficazes, como ajustes de processo, manuten\u00e7\u00e3o preventiva ou melhorias na qualidade dos materiais.<\/ul><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span>Estas tend\u00eancias sugerem a necessidade de uma interven\u00e7\u00e3o diferente para cada m\u00e1quina: a\u00e7\u00f5es corretivas para o <strong><span class=\"laranja\">TB303<\/span><\/strong> e a monitoriza\u00e7\u00e3o cont\u00ednua do <strong><span class=\"laranja\">TH605<\/span><\/strong> para sustentar a melhoria. <\/ul>\n<p class=\"voltar\"><a href=\"#109\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<h4 id=\"sec110\" class=\"MsoNormal\"><em><strong><span class=\"laranja\">Tipo de interven\u00e7\u00e3o sugerida para o torno TB303<\/span><\/strong><\/em><\/h4>\n<ul><span class=\"MsoNormal2\">Para abordar a tend\u00eancia negativa de desempenho observada no <strong><span class=\"laranja\">torno TB303<\/span><\/strong>, que mostra um aumento no n\u00famero de defeitos ao longo do tempo, podem ser sugeridas as seguintes melhorias:<\/span><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Manuten\u00e7\u00e3o Preventiva e Corretiva<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Inspe\u00e7\u00e3o Regular<\/span><\/strong>: realizar uma inspe\u00e7\u00e3o detalhada das pe\u00e7as m\u00f3veis e componentes cr\u00edticos da m\u00e1quina. O aumento de defeitos pode ser causado por desgaste mec\u00e2nico.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Lubrifica\u00e7\u00e3o Adequada<\/span><\/strong>: verificar se a m\u00e1quina est\u00e1 devidamente lubrificada, o que pode reduzir o atrito e melhorar a precis\u00e3o.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Substitui\u00e7\u00e3o de Componentes Gastos<\/span><\/strong>: se identificadas pe\u00e7as desgastadas ou danificadas, como rolamentos, correias ou ferramentas, devem ser substitu\u00eddas para garantir um funcionamento est\u00e1vel.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Calibra\u00e7\u00e3o e Ajustes<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Calibra\u00e7\u00e3o Peri\u00f3dica<\/span><\/strong>: ajustar e calibrar regularmente os sistemas de medi\u00e7\u00e3o da TB303 para assegurar que os par\u00e2metros de produ\u00e7\u00e3o se mant\u00eam dentro das especifica\u00e7\u00f5es.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Ajuste de Par\u00e2metros de Produ\u00e7\u00e3o<\/span><\/strong>: se necess\u00e1rio, redefinir as configura\u00e7\u00f5es da m\u00e1quina, como velocidade de produ\u00e7\u00e3o ou press\u00e3o, para melhorar a precis\u00e3o e reduzir defeitos.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Treino da Equipa Operacional<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Forma\u00e7\u00e3o em Manuten\u00e7\u00e3o B\u00e1sica<\/span><\/strong>: treinar os operadores para realizarem tarefas de manuten\u00e7\u00e3o preventiva e inspe\u00e7\u00e3o de rotina. Uma equipa bem treinada pode identificar problemas antes que estes se tornem graves.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Sensibiliza\u00e7\u00e3o para a Qualidade<\/span><\/strong>: incentivar os operadores a estarem atentos a quaisquer altera\u00e7\u00f5es no desempenho da m\u00e1quina e a reportar problemas imediatamente.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Monitoriza\u00e7\u00e3o e An\u00e1lise de Dados<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Utilizar Gr\u00e1ficos de Controlo<\/span><\/strong>: implementar gr\u00e1ficos de controlo em tempo real para monitorizar o desempenho do <strong><span class=\"laranja\">TB303<\/span><\/strong>. Isto ajudar\u00e1 a detetar varia\u00e7\u00f5es fora do comum rapidamente.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">An\u00e1lise de Causa Raiz<\/span><\/strong>: se as a\u00e7\u00f5es corretivas n\u00e3o forem eficazes, conduzir uma an\u00e1lise de causa raiz para entender a origem espec\u00edfica do aumento dos defeitos.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde2\">Melhoria Cont\u00ednua<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><b>Feedback de Produ\u00e7\u00e3o<\/b>: recolher feedback constante dos operadores e utilizar esta informa\u00e7\u00e3o para otimizar o processo.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Revis\u00e3o de Materiais<\/span><\/strong>: verificar se os materiais utilizados na produ\u00e7\u00e3o s\u00e3o de qualidade consistente. Um material inferior pode contribuir para o aumento de defeitos.<\/ul><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span>Estas medidas podem ajudar a estabilizar o desempenho do <strong><span class=\"laranja\">torno TB303<\/span><\/strong>, garantindo uma produ\u00e7\u00e3o de alta qualidade e reduzindo o n\u00famero de defeitos ao longo do tempo.<\/ul>\n<p class=\"voltar\"><a href=\"#110\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<h4 id=\"sec111\" class=\"MsoNormal\"><em><strong><span class=\"laranja\">Tipo de interven\u00e7\u00e3o sugerida para o torno TH605<\/span><\/strong><\/em><\/h4>\n<ul><span class=\"MsoNormal2\">Para manter e refor\u00e7ar a melhoria observada na <strong><span class=\"laranja\">torno TH605<\/span><\/strong>, onde o n\u00famero de defeitos est\u00e1 a diminuir, sugerem-se as seguintes a\u00e7\u00f5es para garantir que o desempenho da m\u00e1quina continue a melhorar e se mantenha consistente:<\/span><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul2\">Implementa\u00e7\u00e3o de Manuten\u00e7\u00e3o Preventiva Regular<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Rotina de Inspe\u00e7\u00f5es<\/span><\/strong>: estabelecer um cronograma de inspe\u00e7\u00f5es regulares para verificar o estado dos componentes do <strong><span class=\"laranja\">TH605<\/span><\/strong>. Isso ajudar\u00e1 a identificar sinais de desgaste ou potenciais problemas antes que eles afetem a produ\u00e7\u00e3o.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Substitui\u00e7\u00e3o Preventiva de Componentes<\/span><\/strong>: mesmo com uma tend\u00eancia positiva, alguns componentes podem estar pr\u00f3ximos do fim da sua vida \u00fatil. Realizar substitui\u00e7\u00f5es de pe\u00e7as cr\u00edticas antes que falhem.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul2\">Documenta\u00e7\u00e3o de Boas Pr\u00e1ticas<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Registo de Altera\u00e7\u00f5es de Processo<\/span><\/strong>: documentar as altera\u00e7\u00f5es que forem feitas no processo ou na manuten\u00e7\u00e3o que levem \u00e0 melhoria. Isso servir\u00e1 como uma refer\u00eancia para futuras a\u00e7\u00f5es de corre\u00e7\u00e3o ou otimiza\u00e7\u00e3o.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Manuais de Procedimentos Atualizados<\/span><\/strong>: certificar que os procedimentos de opera\u00e7\u00e3o e manuten\u00e7\u00e3o est\u00e3o atualizados com as melhores pr\u00e1ticas observadas.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul2\">Monitoriza\u00e7\u00e3o Cont\u00ednua<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">An\u00e1lise de Tend\u00eancias<\/span><\/strong>: continuar a monitorizar a produ\u00e7\u00e3o com gr\u00e1ficos de controlo. Se detetada alguma revers\u00e3o na tend\u00eancia, intervir rapidamente.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Sistema de Alerta Antecipado<\/span><\/strong>: implementar sistemas que avisem automaticamente os operadores se o n\u00famero de defeitos come\u00e7ar a subir, mesmo que de forma leve.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul2\">Otimiza\u00e7\u00e3o de Par\u00e2metros de Produ\u00e7\u00e3o<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Ajustes Finos<\/span><\/strong>: rever e otimizar os par\u00e2metros operacionais do <strong><span class=\"laranja\">TH605<\/span><\/strong> para garantir que a m\u00e1quina opera no seu ponto \u00f3timo. Par\u00e2metros como a velocidade de produ\u00e7\u00e3o, press\u00e3o de corte ou a temperatura podem influenciar a qualidade final.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Testes de Performance<\/span><\/strong>: realizar testes peri\u00f3dicos para verificar se os par\u00e2metros de produ\u00e7\u00e3o ainda s\u00e3o os mais adequados ou se podem ser melhorados.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul2\">Treino Cont\u00ednuo da Equipa<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Forma\u00e7\u00e3o em Melhoria Cont\u00ednua<\/span><\/strong>: manter a equipa treinada em t\u00e9cnicas de melhoria cont\u00ednua para que possam contribuir ativamente para a qualidade da produ\u00e7\u00e3o.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Feedback Regular<\/span><\/strong>: incentivar os operadores a fornecerem feedback constante sobre o desempenho da m\u00e1quina e quaisquer observa\u00e7\u00f5es que possam ter sobre poss\u00edveis melhorias.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul2\">An\u00e1lise de Materiais e Fornecedores<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Consist\u00eancia de Materiais<\/span><\/strong>: verificar se a qualidade dos materiais fornecidos \u00e9 consistente. Mesmo pequenas varia\u00e7\u00f5es podem ter um impacto significativo na produ\u00e7\u00e3o.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Revis\u00e3o de Fornecedores<\/span><\/strong>: se necess\u00e1rio, trabalhar com os fornecedores para assegurar que os materiais entregues s\u00e3o de alta qualidade e adequados \u00e0s necessidades da produ\u00e7\u00e3o.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul2\">Projetos de Melhoria Cont\u00ednua<\/span><\/span><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Kaizen<\/span><\/strong>: considerar a implementa\u00e7\u00e3o de pr\u00e1ticas de Kaizen (melhoria cont\u00ednua) para otimizar processos e identificar novas oportunidades de melhoria.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Benchmarking Interno<\/span><\/strong>: comparar o desempenho do <strong><span class=\"laranja\">TH605<\/span><\/strong> com outras m\u00e1quinas semelhantes para identificar \u00e1reas adicionais de melhoria.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul2\">Investimento em Tecnologia<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">Atualiza\u00e7\u00f5es Tecnol\u00f3gicas<\/span><\/strong>: se vi\u00e1vel, considerar atualiza\u00e7\u00f5es tecnol\u00f3gicas que possam melhorar ainda mais a efici\u00eancia da m\u00e1quina, como sistemas de monitoriza\u00e7\u00e3o digital ou sensores de precis\u00e3o.<\/ul><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span>Estas a\u00e7\u00f5es ajudar\u00e3o a consolidar as melhorias observadas no <strong><span class=\"laranja\">torno TH605<\/span><\/strong> e a manter a produ\u00e7\u00e3o dentro das especifica\u00e7\u00f5es de qualidade exigidas.<\/ul>\n<p class=\"voltar\"><a href=\"#indice\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Descubra como \u201ctransformar dados em valor acrescentado\u201d para impulsionar o desempenho industrial.<br \/>\nEste trabalho explora como a an\u00e1lise de dados pode revelar insights cr\u00edticos, permitindo decis\u00f5es fundamentadas que elevam a efici\u00eancia e a qualidade.<br \/>\nA excel\u00eancia operacional na ind\u00fastria transformadora \u00e9 um objetivo que depende cada vez mais da utiliza\u00e7\u00e3o inteligente de dados estat\u00edsticos para otimizar processos produtivos. <\/p>\n","protected":false},"author":5,"featured_media":3886,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[339],"tags":[342,345,259,144,343,344,341,239,340,347,346],"class_list":["post-3469","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-casos-de-estudo","tag-anova","tag-atributos","tag-capacidade","tag-controlo","tag-cp","tag-cpk","tag-mann-whitney","tag-processo","tag-student","tag-teste","tag-variaveis"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v24.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Como Transformar Dados em Valor Acrescentado: Estat\u00edstica Aplicada \u00e0 Efici\u00eancia Industrial<\/title>\n<meta name=\"description\" content=\"Descubra como utilizar dados estat\u00edsticos para melhorar a produ\u00e7\u00e3o, reduzir defeitos e tomar decis\u00f5es fundamentadas. 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