{"id":4406,"date":"2025-01-24T11:00:24","date_gmt":"2025-01-24T11:00:24","guid":{"rendered":"https:\/\/www.probool.com\/?p=4406"},"modified":"2025-03-25T14:04:16","modified_gmt":"2025-03-25T14:04:16","slug":"graficos-x-barra-e-r","status":"publish","type":"post","link":"https:\/\/www.probool.com\/?p=4406","title":{"rendered":"Gr\u00e1ficos X-barra e R"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"4406\" class=\"elementor elementor-4406\">\n\t\t\t\t<div class=\"elementor-element elementor-element-64b8051 e-con-full e-flex e-con e-parent\" data-id=\"64b8051\" data-element_type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-0565c73 elementor-widget elementor-widget-text-editor\" data-id=\"0565c73\" 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<\/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 aos Gr\u00e1ficos X-Bar e R<\/u><\/span><\/a><\/ul>\n<ul><a id=\"102\"><\/a><a href=\"#sec102\"><span class=\"azul2\"><u>Processos em que os Gr\u00e1ficos X-Bar e R s\u00e3o Convenientes<\/u><\/span><\/a><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span><a id=\"103\"><\/a><a href=\"#sec103\"><span class=\"azul2\"><u>Limites Naturais do Gr\u00e1fico X-Bar<\/u><\/span><\/a><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span><a id=\"104\"><\/a><a href=\"#sec104\"><span class=\"azul2\"><u>Interpreta\u00e7\u00e3o dos Limites Naturais<\/u><\/span><\/a><\/ul><\/ul>\n<ul><a id=\"105\"><\/a><a href=\"#sec105\"><span class=\"azul2\"><u>Exemplo Num\u00e9rico<\/u><\/span><\/a><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span><a id=\"106\"><\/a><a href=\"#sec106\"><span class=\"azul2\"><u>Passos para o c\u00e1lculo<\/u><\/span><\/a><\/ul><\/ul>\n<ul><a id=\"107\"><\/a><a href=\"#sec107\"><span class=\"azul2\"><u>Gr\u00e1fico X-Bar (M\u00e9dias)<\/u><\/span><\/a><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span><a id=\"108\"><\/a><a href=\"#sec108\"><span class=\"azul2\"><u>An\u00e1lise das Tend\u00eancias Observadas no Gr\u00e1fico X-Bar<\/u><\/span><\/a><\/ul><\/ul>\n<ul><a id=\"109\"><\/a><a href=\"#sec109\"><span class=\"azul2\"><u>Gr\u00e1fico R (Amplitudes)<\/u><\/span><\/a><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span><a id=\"110\"><\/a><a href=\"#sec110\"><span class=\"azul2\"><u>An\u00e1lise das Tend\u00eancias Observadas no Gr\u00e1fico R<\/u><\/span><\/a><\/ul><\/ul>\n<ul><a id=\"111\"><\/a><a href=\"#sec111\"><span class=\"azul2\"><u>Notas Finais<\/u><\/span><\/a><\/ul>\n\n<h4 id=\"sec101\" class=\"MsoNormal\"><em><strong><span class=\"laranja\">Introdu\u00e7\u00e3o aos Gr\u00e1ficos X-Bar e R<\/span><\/strong><\/em><\/h4>\n<ul><span class=\"MsoNormal2\"><\/span>No ambiente industrial contempor\u00e2neo, caracterizado pela procura incessante de excel\u00eancia operacional e qualidade consistente, o <b>SPC<\/b> (Controlo Estat\u00edstico de Processos) desempenha um papel essencial. Entre as ferramentas mais utilizadas no <b>SPC<\/b>, destacam-se os <strong><span class=\"azul2\">Gr\u00e1ficos X-Bar e R<\/span><\/strong>, que proporcionam uma vis\u00e3o detalhada da variabilidade e da estabilidade de processos produtivos.<\/ul>\n<ul><span class=\"MsoNormal2\"><\/span>Os <strong><span class=\"azul2\">Gr\u00e1ficos X-Bar e R<\/span><\/strong> s\u00e3o particularmente eficazes na monitoriza\u00e7\u00e3o de processos que envolvem medi\u00e7\u00f5es cont\u00ednuas, como dimens\u00f5es f\u00edsicas, tempos de ciclo ou caracter\u00edsticas de desempenho. Estes gr\u00e1ficos permitem detetar desvios no processo antes que estes se traduzam em produtos n\u00e3o conformes, assegurando a manuten\u00e7\u00e3o da qualidade e a efici\u00eancia operacional.<\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">Gr\u00e1fico X-Bar<\/span><\/strong>: este gr\u00e1fico regista a m\u00e9dia das amostras recolhidas periodicamente, ajudando a identificar varia\u00e7\u00f5es na centralidade do processo ao longo do tempo. \u00c9 uma ferramenta essencial para compreender se o processo est\u00e1 centrado e a operar em conformidade com os requisitos especificados.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul1\">Gr\u00e1fico R (Amplitude)<\/span><\/strong>: este gr\u00e1fico complementa o <strong><span class=\"azul2\">Gr\u00e1fico X-Bar<\/span><\/strong> ao monitorizar a amplitude das amostras, ou seja, a diferen\u00e7a entre os valores m\u00e1ximo e m\u00ednimo dentro de cada amostra. Este par\u00e2metro \u00e9 crucial para avaliar a variabilidade intr\u00ednseca do processo.<\/ul><\/ul>\n<ul><span class=\"MsoNormal2\"><\/span>A utiliza\u00e7\u00e3o conjunta dos <strong><span class=\"azul2\">Gr\u00e1ficos X-Bar e R<\/span><\/strong> permite uma an\u00e1lise abrangente do comportamento do processo. Enquanto o <strong><span class=\"azul2\">Gr\u00e1ficos X-Bar<\/span><\/strong> identifica mudan\u00e7as na m\u00e9dia do processo, o <strong><span class=\"azul2\">Gr\u00e1fico R<\/span><\/strong> alerta para aumentos ou diminui\u00e7\u00f5es na dispers\u00e3o dos dados, fornecendo indica\u00e7\u00f5es precoces de problemas no controlo do processo.<\/ul>\n<ul><span class=\"MsoNormal2\"><\/span>Este estudo explora os fundamentos dos <strong><span class=\"azul2\">Gr\u00e1ficos X-Bar e R<\/span><\/strong>, a sua aplica\u00e7\u00e3o pr\u00e1tica na ind\u00fastria transformadora e a interpreta\u00e7\u00e3o dos resultados para a tomada de decis\u00f5es informadas. Ao longo deste trabalho, ser\u00e3o apresentados exemplos e cen\u00e1rios reais que ilustram o impacto positivo da implementa\u00e7\u00e3o destes gr\u00e1ficos na melhoria cont\u00ednua e na redu\u00e7\u00e3o de desperd\u00edcios, contribuindo para o sucesso das organiza\u00e7\u00f5es que adotam o controlo estat\u00edstico como um pilar estrat\u00e9gico.<\/ul>\n<p class=\"voltar\"><a href=\"#101\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<h4 id=\"sec102\" class=\"MsoNormal\"><em><strong><span class=\"laranja\">Processos em que os Gr\u00e1ficos X-Bar e R s\u00e3o Convenientes<\/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\">Processos de Produ\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=\"verde2\">Caracter\u00edsticas<\/span><\/strong>: monitoriza\u00e7\u00e3o de caracter\u00edsticas dimensionais ou f\u00edsicas em processos cont\u00ednuos.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplos<\/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=\"castanho1\">Ind\u00fastria de Pl\u00e1sticos<\/span><\/strong>: monitoriza\u00e7\u00e3o da espessura de pel\u00edculas pl\u00e1sticas produzidas continuamente.+<\/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=\"castanho1\">Produ\u00e7\u00e3o de Tubos Met\u00e1licos<\/span><\/strong>: controlo do di\u00e2metro externo em intervalos regulares.<\/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\">Benef\u00edcio dos Gr\u00e1ficos X-Bar e R:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Monitorizam a consist\u00eancia do processo, garantindo que as m\u00e9dias e variabilidades estejam dentro dos limites naturais.<\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Processos de Produ\u00e7\u00e3o em Massa<\/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\">Caracter\u00edsticas<\/span><\/strong>: produ\u00e7\u00e3o em grande escala com variabilidade natural nas caracter\u00edsticas do produto.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplos<\/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=\"castanho1\">Ind\u00fastria Alimentar<\/span><\/strong>: controlo do peso m\u00e9dio de pacotes de snacks em amostras de 10 unidades.<\/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=\"castanho1\">Ind\u00fastria Farmac\u00eautica<\/span><\/strong>: monitoriza\u00e7\u00e3o da concentra\u00e7\u00e3o de ingredientes ativos em comprimidos.<\/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\">Benef\u00edcio dos Gr\u00e1ficos X-Bar e R:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Garante a uniformidade em lotes de produ\u00e7\u00e3o com volumes elevados.<\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Processos de Inspe\u00e7\u00e3o Dimensional<\/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\">Caracter\u00edsticas<\/span><\/strong>: controle de vari\u00e1veis dimensionais de produtos, como comprimento, di\u00e2metro ou espessura.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplos<\/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=\"castanho1\">Ind\u00fastria Metalomec\u00e2nica<\/span><\/strong>: controlo do comprimento de eixos met\u00e1licos em amostras de 5 pe\u00e7as.<\/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=\"castanho1\">Produ\u00e7\u00e3o de Papel<\/span><\/strong>: monitoriza\u00e7\u00e3o da largura de folhas cortadas em lotes de 10 unidades.<\/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\">Benef\u00edcio dos Gr\u00e1ficos X-Bar e R:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Identificam varia\u00e7\u00f5es sistem\u00e1ticas e aleat\u00f3rias nas dimens\u00f5es, garantindo conformidade com as especifica\u00e7\u00f5es.<\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Processos de Produ\u00e7\u00e3o Automatizada<\/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\">Caracter\u00edsticas<\/span><\/strong>: produ\u00e7\u00e3o automatizada onde o desempenho do equipamento pode variar com o tempo.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplos<\/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=\"castanho1\">Ind\u00fastria Autom\u00f3vel<\/span><\/strong>: monitoriza\u00e7\u00e3o do bin\u00e1rio m\u00e9dio aplicado em parafusos em amostras de 15 parafusos por turno.<\/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=\"castanho1\">Produ\u00e7\u00e3o de Placas Eletr\u00f3nicas<\/span><\/strong>: controlo da espessura m\u00e9dia de camadas condutoras.<\/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\">Benef\u00edcio dos Gr\u00e1ficos X-Bar e R:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Identificam tend\u00eancias no desempenho dos equipamentos, permitindo manuten\u00e7\u00e3o preditiva.<\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Processos de Controle de Propriedades F\u00edsicas<\/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\">Caracter\u00edsticas<\/span><\/strong>: monitoriza\u00e7\u00e3o de propriedades f\u00edsicas que afetam o desempenho final do produto.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplos<\/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=\"castanho1\">Ind\u00fastria de Tintas<\/span><\/strong>: controlo da viscosidade m\u00e9dia em amostras de 20 ml retiradas de cada lote.<\/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=\"castanho1\">Ind\u00fastria de Cabos El\u00e9tricos<\/span><\/strong>: monitoriza\u00e7\u00e3o da resist\u00eancia el\u00e9trica m\u00e9dia em amostras de 10 cabos.<\/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\">Benef\u00edcio dos Gr\u00e1ficos X-Bar e R:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Monitorizam a estabilidade de propriedades cr\u00edticas para garantir a funcionalidade dos produtos.<\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Processos de Produ\u00e7\u00e3o Personalizada<\/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\">Caracter\u00edsticas<\/span><\/strong>: produ\u00e7\u00e3o de lotes pequenos, onde cada lote \u00e9 fabricado com especifica\u00e7\u00f5es ligeiramente diferentes.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplos<\/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=\"castanho1\">Produ\u00e7\u00e3o de Moldes de Precis\u00e3o<\/span><\/strong>: controlo da m\u00e9dia e variabilidade de espessuras em amostras de 5 moldes.<\/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=\"castanho1\">Ind\u00fastria de Mobili\u00e1rio Sob Medida<\/span><\/strong>: monitoriza\u00e7\u00e3o do comprimento m\u00e9dio de componentes cortados.<\/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\">Benef\u00edcio dos Gr\u00e1ficos X-Bar e R:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Garantem a qualidade em lotes personalizados, ajustando o processo quando necess\u00e1rio.<\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Processos de Testes Destrutivos<\/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\">Caracter\u00edsticas<\/span><\/strong>: ensaios que destroem o produto testado, mas fornecem medi\u00e7\u00f5es cr\u00edticas para o controlo do 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=\"roxo\">Exemplos<\/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=\"castanho1\">Ind\u00fastria de Materiais de Constru\u00e7\u00e3o<\/span><\/strong>: controlo da resist\u00eancia \u00e0 compress\u00e3o m\u00e9dia de blocos de cimento em amostras de 3 unidades.<\/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=\"castanho1\">Ind\u00fastria Qu\u00edmica<\/span><\/strong>: monitoriza\u00e7\u00e3o da resist\u00eancia m\u00e9dia \u00e0 tra\u00e7\u00e3o de pol\u00edmeros testados destrutivamente.<\/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\">Benef\u00edcio dos Gr\u00e1ficos X-Bar e R:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Maximizam a informa\u00e7\u00e3o obtida de ensaios destrutivos, garantindo a conformidade do processo.<\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Processos de Controlo de Qualidade em Servi\u00e7os<\/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\">Caracter\u00edsticas<\/span><\/strong>: servi\u00e7os com medi\u00e7\u00f5es de tempo, volume ou outros par\u00e2metros quantitativos.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"roxo\">Exemplos<\/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=\"castanho1\">Log\u00edstica e Transporte<\/span><\/strong>: controlo do tempo m\u00e9dio de entrega em amostras de 10 encomendas por dia.<\/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=\"castanho1\">Centros de Chamadas<\/span><\/strong>: monitoriza\u00e7\u00e3o da dura\u00e7\u00e3o m\u00e9dia de chamadas resolvidas em amostras de 15 intera\u00e7\u00f5es.<\/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\">Benef\u00edcio dos Gr\u00e1ficos X-Bar e R:<\/span><\/strong><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span>Garantem a estabilidade nos n\u00edveis de servi\u00e7o prestados ao cliente.<\/ul><\/ul><\/ul>\n<table width=\"100%\" height=\"40\" border=\"1\" cellspacing=\"0\" cellpadding=\"0\" style=\"border-collapse:collapse;\">\n  <tr>\n    <td width=\"40%\" height=\"60\" align=\"center\" valign=\"middle\" style=\"border-collapse:collapse;\"><strong><font size=\"4\">Quadro Resumo: Caracter\u00edsticas de Processos que Beneficiam dos Gr\u00e1ficos X-Bar e R<\/font><\/strong><\/td>\n  <\/tr>\n<\/table>\n<table width=\"100%\" style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" border=\"0\" cellspacing=\"0\" cellpadding=\"5\">\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"30%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#0000FF\"><strong><font color=\"white\" size=\"4\">Caracter\u00edstica do Processo<\/font><\/strong><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"35%\" align=\"center\" valign=\"middle\" bgcolor=\"#0000FF\"><strong><font color=\"white\" size=\"4\">Exemplo de Aplica\u00e7\u00e3o<\/font><\/strong><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"35%\" align=\"center\" valign=\"middle\" bgcolor=\"#0000FF\"><strong><font color=\"white\" size=\"4\">Benef\u00edcio dos Gr\u00e1ficos X-Bar e R<\/font><\/strong><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"30%\" height=\"40\" align=\"left\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Produ\u00e7\u00e3o cont\u00ednua<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"35%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Pel\u00edculas pl\u00e1sticas, tubos met\u00e1licos<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"35%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Garante estabilidade dimensional<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"30%\" height=\"40\" align=\"left\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Produ\u00e7\u00e3o em massa<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"35%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Snacks, comprimidos<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"35%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Uniformidade em grandes volumes<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"30%\" height=\"40\" align=\"left\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Inspe\u00e7\u00e3o dimensional<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"35%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Eixos met\u00e1licos, folhas de papel<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"35%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Monitoriza varia\u00e7\u00f5es dimensionais<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"30%\" height=\"40\" align=\"left\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Produ\u00e7\u00e3o automatizada<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"35%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Bin\u00e1rio de parafusos, camadas condutoras<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"35%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Deteta tend\u00eancias em m\u00e1quinas<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"30%\" height=\"40\" align=\"left\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Controle de propriedades f\u00edsicas<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"35%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Viscosidade de tintas, resist\u00eancia de cabos<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"35%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Estabilidade em propriedades cr\u00edticas<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"30%\" height=\"40\" align=\"left\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Produ\u00e7\u00e3o personalizada<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"35%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Moldes de precis\u00e3o, mobili\u00e1rio sob medida<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"35%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Qualidade em lotes pequenos<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"30%\" height=\"40\" align=\"left\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Testes destrutivos<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"35%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Blocos de cimento, pol\u00edmeros<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"35%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Maximiza informa\u00e7\u00e3o de ensaios destrutivos<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"30%\" height=\"40\" align=\"left\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Controle de qualidade em servi\u00e7os<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"35%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Tempo de entrega, dura\u00e7\u00e3o de chamadas<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"35%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">Estabilidade nos par\u00e2metros de servi\u00e7o<\/font><\/td>\n  <\/tr>\n<\/table>\n<br class=\"\">\n<p class=\"voltar\"><a href=\"#102\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<h4 id=\"sec103\" class=\"MsoNormal\"><strong><span class=\"verde2\">Limites Naturais do Gr\u00e1fico X-Bar<\/span><\/strong><\/h4>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"castanho\">Limites para o Gr\u00e1fico X-Bar<\/span><\/strong><\/ul>\n<ul><span class=\"MsoNormal2\"><\/span>Os limites naturais s\u00e3o calculados com base na m\u00e9dia das m\u00e9dias das amostras <b>(X-Bar)<\/b> e na variabilidade do processo, m\u00e9dia das amplitudes <b>(R)<\/b>:<\/ul>\n<table width=\"100%\" height=\"175\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"middle\"><div style=\"margin-left: 0 px;\"><img fetchpriority=\"high\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/12\/XBar_R_01.png\" width=\"395\" height=\"175\" \/><\/div><\/td><\/tr>\n<\/table>\n<br class=\"\">\n<table width=\"100%\" height=\"40\" border=\"1\" cellspacing=\"0\" cellpadding=\"0\" style=\"border-collapse:collapse;\">\n  <tr>\n    <td width=\"100%\" height=\"60\" align=\"center\" valign=\"middle\" style=\"border-collapse:collapse;\"><strong><font size=\"4\">Extrato da Tabela d<sub>2<\/sub><\/font><\/strong><\/td>\n  <\/tr>\n<\/table>\n<table width=\"100%\" style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" border=\"0\" cellspacing=\"0\" cellpadding=\"5\">\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"50%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#006600\"><strong><font color=\"white\" size=\"4\">n<\/font><\/strong><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"50%\" align=\"center\" valign=\"middle\" bgcolor=\"#006600\"><strong><font color=\"white\" size=\"4\">d<sub>2<\/sub><\/font><\/strong><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"50%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">2<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"50%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">1,128<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"50%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">3<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"40%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">1,693<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"50%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">4<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"50%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">2,059<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"50%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">5<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"50%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">2,326<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"50%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">6<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"50%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">2,534<\/font><\/td>\n  <\/tr>\n<\/table>\n<br class=\"\">\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"preto\">F\u00f3rmula Geral para A2<\/span><\/strong><\/ul><\/ul>\n<table width=\"100%\" height=\"52\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"middle\"><div style=\"margin-left: 0 px;\"><img decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/12\/XBar_R_02.png\" width=\"104\" height=\"42\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span>onde:<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span><b>d<sub>2<\/sub><\/b>: constante dependente do tamanho do subgrupo (n), que ajusta a rela\u00e7\u00e3o emtre a amplitude m\u00e9dia e o desvio padr\u00e3o estimado.<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span><b>n<\/b>: tamanho do subgrupo (n\u00ba de amostras em cada grupo<\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><\/span><span class=\"padleft\"><\/span><b>3<\/b>: refere-se ao intervalo de tr\u00eas desvios padr\u00e3o nos gr\u00e1ficos de controlo<\/ul><\/ul><\/ul>\n<p class=\"voltar\"><a href=\"#103\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<h4 id=\"sec104\" class=\"MsoNormal\"><strong><span class=\"verde2\">Interpreta\u00e7\u00e3o dos Limites Naturais<\/span><\/strong><\/h4>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Varia\u00e7\u00e3o Natural do Processo:<\/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=\"verde1\">Dentro dos limites naturais (LCL e UCL)<\/span><\/strong>: o processo est\u00e1 sob controlo estat\u00edstico e apenas causas comuns de varia\u00e7\u00e3o est\u00e3o presentes.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"verde1\">Fora dos limites naturais<\/span><\/strong>: indica a presen\u00e7a de causas especiais de varia\u00e7\u00e3o, que precisam de investiga\u00e7\u00e3o.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Estabilidade do Processo:<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>Os limites naturais fornecem um crit\u00e9rio para verificar se o processo est\u00e1 est\u00e1vel.<\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>Valores que excedem os limites naturais n\u00e3o s\u00e3o esperados em um processo est\u00e1vel.<\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul3\">Melhoria do Processo:<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span>Reduzir os limites naturais exige abordar causas comuns de varia\u00e7\u00e3o, como ajustes em m\u00e1quinas, padroniza\u00e7\u00e3o de m\u00e9todos ou melhoria nos materiais.<\/ul><\/ul>\n<p class=\"voltar\"><a href=\"#104\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<h4 id=\"sec105\" class=\"MsoNormal\"><em><strong><span class=\"laranja\">Exemplo Num\u00e9rico<\/span><\/strong><\/em><\/h4>\n<ul><span class=\"MsoNormal2\"><\/span><span class=\"azul4\">Considere uma produ\u00e7\u00e3o de parafusos de 10 mm de di\u00e2metro \u00b10,3 mm:<\/span><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Vari\u00e1vel<\/b>: di\u00e2metro de um parafuso.<\/span><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Configura\u00e7\u00e3o do Chart Control<\/b>:<\/span><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Linha Central<\/b>: 10 mm (di\u00e2metro m\u00e9dio).<\/span><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Limites de Controlo<\/b>: 10,3 mm (superior) e 9,7 mm (inferior).<\/span><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Dados<\/b>: medi\u00e7\u00f5es feitas em cada lote de 100 pe\u00e7as.<\/span><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Interpreta\u00e7\u00e3o<\/b>: padr\u00f5es como oscila\u00e7\u00f5es pr\u00f3ximas do limite superior indicam a necessidade de ajustar as m\u00e1quinas.<\/span><\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Foram<\/b> realizados 25 grupos de cinco leituras. <\/span><\/ul>\n<p class=\"voltar\"><a href=\"#106\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<h4 id=\"sec106\" class=\"MsoNormal\"><strong><span class=\"verde2\">Passos para o c\u00e1lculo:<\/span><\/strong><\/h4>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>M\u00e9dia de cada grupo<\/b>: calculada a m\u00e9dia das 5 medi\u00e7\u00f5es para cada grupo.<\/span><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Amplitude de cada grupo<\/b>: diferen\u00e7a entre o valor m\u00e1ximo e m\u00ednimo dentro do grupo.<\/span><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Linha central (CL)<\/b><\/span><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\">M\u00e9dia das m\u00e9dias dos 25 grupos<\/span><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"preto\">M\u00e9dia das amplitudes dos 25 grupos.<\/span><\/ul><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Limites de controlo (UCL e LCL)<\/b><\/span><\/ul>\n<table width=\"100%\" height=\"225\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\" class=\"table2\">\n  <tr><td height=\"60\" align=\"center\" valign=\"middle\"><div style=\"margin-left: 0 px;\"><img decoding=\"async\" class=\"alignnone\" src=\"https:\/\/www.probool.com\/wp-content\/uploads\/2024\/12\/XBar_R_03.png\" width=\"509\" height=\"215\" \/><\/div><\/td><\/tr>\n<\/table>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Quadro resumo dos dados c\u00e1lculos efetuados<\/b>:<\/span><\/ul>\n<table width=\"100%\" height=\"40\" border=\"1\" cellspacing=\"0\" cellpadding=\"0\" style=\"border-collapse:collapse;\">\n  <tr>\n    <td width=\"100%\" height=\"60\" align=\"center\" valign=\"middle\" style=\"border-collapse:collapse;\"><strong><font size=\"4\">Mapa de M\u00e9dias e Amplitudes por Grupo de Leituras<\/font><\/strong><\/td>\n  <\/tr>\n<\/table>\n<table width=\"100%\" style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" border=\"0\" cellspacing=\"0\" cellpadding=\"5\">\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#999999\"><strong><font color=\"black\" size=\"4\">Grupo<\/font><\/strong><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#999999\"><strong><font color=\"black\" size=\"4\">M\u00e9dia do Grupo<\/font><\/strong><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#999999\"><strong><font color=\"black\" size=\"4\">Amplitude do Grupo<\/font><\/strong><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">1<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,069<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,264<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">2<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,066<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,307<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">3<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,870<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,323<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">4<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,893<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,259<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">5<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,234<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,434<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">6<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,953<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,229<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">7<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,030<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,436<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">8<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,877<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,325<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,970<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,333<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,954<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,423<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">11<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,027<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,256<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">12<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,244<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,272<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">13<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,935<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,301<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">14<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,060<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,300<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">15<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,024<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,628<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">16<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,961<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,421<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">17<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,009<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,343<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">18<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,022<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,217<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">19<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,989<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,251<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">20<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,259<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,264<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">21<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9,906<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,188<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">22<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,079<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,294<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">23<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,012<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,657<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">24<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,030<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,347<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">25<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10,014<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,421<\/font><\/td>\n  <\/tr>\n<\/table>\n<br class=\"\">\n<p class=\"voltar\"><a href=\"#106\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<h4 id=\"sec107\" class=\"MsoNormal\"><strong><em><span class=\"laranja\">Gr\u00e1fico X-Bar (M\u00e9dias)<\/span><\/em><\/strong><\/h4>\n<table width=\"100%\" height=\"578\" 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\/12\/XBar_R_04.png\" width=\"1090\" height=\"568\" \/><\/div><\/td><\/tr>\n<\/table>\n<p class=\"voltar\"><a href=\"#107\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n\n<h4 id=\"sec108\" class=\"MsoNormal\"><strong><span class=\"verde2\">An\u00e1lise das Tend\u00eancias Observadas no Gr\u00e1fico X-Bar<\/span><\/strong><\/h4>\n<ul><span class=\"MsoNormal2\"><\/span><span class=\"azul3\">O <b>Gr\u00e1fico X-Bar<\/b> permite avaliar se o processo est\u00e1 est\u00e1vel e sob controlo estat\u00edstico, ou se apresenta sinais de variabilidade especial (n\u00e3o-aleat\u00f3ria). A an\u00e1lise do gr\u00e1fico pode ser feita com base nos seguintes aspetos:<\/span><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul4\"><b>Verifica\u00e7\u00e3o de Estabilidade<\/b><\/span><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Padr\u00e3o esperado<\/b>: a maioria dos pontos deve estar dentro dos limites de controlo superior <b>(UCL)<\/b> e inferior <b>(LCL)<\/b>.<\/span><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Sinais de instabilidade:<\/b><\/span><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\">Pontos fora dos limites de controlo (<b>UCL<\/b> ou <b>LCL<\/b>).<\/span><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\">Sequ\u00eancias ou padr\u00f5es espec\u00edficos (ex.: tend\u00eancias crescentes ou decrescentes).<\/span><\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Exemplo da situa\u00e7\u00e3o<\/b>: no <b>Gr\u00e1fico X-Bar<\/b> analisado, os grupos ajustados (ex.: 5, 12, 20) t\u00eam valores entre <b>UCL<\/b> e o limite superior de toler\u00e2ncia, sugerindo que o processo ainda est\u00e1 est\u00e1vel, mas pr\u00f3ximo de sair de controlo.<\/span><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul4\"><b>An\u00e1lise da Linha Central (CL)<\/b><\/span><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Padr\u00e3o esperado<\/b>: os pontos devem oscilar em torno da linha central (<b>CL<\/b>) de forma aleat\u00f3ria.<\/span><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Sinais de problemas:<\/b><\/span><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\">Desvio consistente para cima ou para baixo da linha central.<\/span><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\">Muitas observa\u00e7\u00f5es consecutivas apenas acima ou abaixo de (<b>CL<\/b>).<\/span><\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Infer\u00eancia<\/b>: se os valores estiverem consistentemente acima de <b>CL<\/b>, pode indicar que o processo est\u00e1 deslocado (ex.: uma m\u00e1quina precisa de ajuste). Se os valores oscilarem de forma equilibrada, o processo \u00e9 est\u00e1vel.<\/span><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul4\"><b>Padr\u00f5es Espec\u00edficos<\/b><\/span><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span><span class=\"azul3\">A an\u00e1lise detalhada dos padr\u00f5es pode identificar problemas espec\u00edficos:<\/span><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Tend\u00eancias<\/b>: valores crescentes ou decrescentes podem indicar desgaste de m\u00e1quinas, mudan\u00e7as no material ou outros fatores.<\/span><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Oscila\u00e7\u00f5es c\u00edclicas<\/b>: podem indicar efeitos sazonais, turnos ou condi\u00e7\u00f5es ambientais vari\u00e1veis.<\/span><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Sequ\u00eancias longas de pontos acima ou abaixo de CL<\/b>: podem indicar uma mudan\u00e7a de processo n\u00e3o detetada.<\/span><\/ul><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Aplica\u00e7\u00e3o no caso<\/b>: a presen\u00e7a de alguns valores elevados pr\u00f3ximos ao <b>UCL<\/b> pode ser uma indica\u00e7\u00e3o de variabilidade externa. No entanto, como est\u00e3o abaixo do limite de toler\u00e2ncia, a conformidade do produto ainda \u00e9 aceit\u00e1vel.<\/span><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul4\"><b>Rela\u00e7\u00e3o com os Limites de Toler\u00e2ncia<\/b><\/span><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Caso ideal<\/b>: os limites de controlo (<b>UCL<\/b> e <b>LCL<\/b>) devem estar dentro dos limites de toler\u00e2ncia do processo.<\/span><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Sinais de problema<\/b>: se <b>UCL<\/b> ou <b>LCL<\/b> excederem os limites de toler\u00e2ncia, \u00e9 necess\u00e1rio avaliar a variabilidade para evitar produtos n\u00e3o conformes.<\/span><\/ul><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Infer\u00eancia<\/b>: no gr\u00e1fico, os limites de controlo est\u00e3o dentro dos limites de toler\u00e2ncia (10.3 e 9.7), indicando que o processo est\u00e1 adequado.<\/span><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul4\"><b>Conclus\u00f5es Gerais<\/b><\/span><\/ul>\n<ul>\n<ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Processo est\u00e1vel<\/b>: quando os pontos est\u00e3o dentro dos limites de controlo, sem padr\u00f5es espec\u00edficos, o processo est\u00e1 sob controlo estat\u00edstico.<\/span><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Necessidade de a\u00e7\u00e3o<\/b>: pontos fora dos limites ou padr\u00f5es irregulares indicam que \u00e9 necess\u00e1rio investigar as causas de varia\u00e7\u00e3o especial.<\/span><\/ul><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Para o caso<\/b>: o processo analisado est\u00e1 est\u00e1vel, com varia\u00e7\u00f5es dentro dos limites aceit\u00e1veis. No entanto, a proximidade de alguns pontos ao <b>UCL<\/b> sugere monitoriza\u00e7\u00e3o cont\u00ednua para evitar que o processo saia de controlo.<\/span><\/ul>\n<p class=\"voltar\"><a href=\"#108\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<h4 id=\"sec109\" class=\"MsoNormal\"><strong><em><span class=\"laranja\">Gr\u00e1fico R (Amplitudes)<\/span><\/em><\/strong><\/h4>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span><span class=\"azul3\">Os limites naturais para o <b>Gr\u00e1fico R<\/b> baseiam-se na amplitude m\u00e9dia (<b>R-Bar<\/b>):<\/span><\/ul>\n<table width=\"100%\" height=\"100\" 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\/12\/XBar_R_05.png\" width=\"425\" height=\"90\" \/><\/div><\/td><\/tr>\n<\/table>\n<table width=\"100%\" height=\"40\" border=\"1\" cellspacing=\"0\" cellpadding=\"0\" style=\"border-collapse:collapse;\">\n  <tr>\n    <td width=\"100%\" height=\"60\" align=\"center\" valign=\"middle\" style=\"border-collapse:collapse;\"><strong><font size=\"4\">Extrato das tabelas de D<sub>3<\/sub> e D<sub>4<\/sub><\/font><\/strong><\/td>\n  <\/tr>\n<\/table>\n<table width=\"100%\" style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" border=\"0\" cellspacing=\"0\" cellpadding=\"5\">\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#990099\"><strong><font color=\"white\" size=\"4\">Valor n<\/font><\/strong><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#990099\"><strong><font color=\"white\" size=\"4\">D<sub>3<\/sub><\/font><\/strong><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#990099\"><strong><font color=\"white\" size=\"4\">D<sub>4<\/sub><\/font><\/strong><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">2<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,000<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">3,267<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">3<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,000<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">2,574<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">4<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,000<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">2.282<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">5<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,000<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">2,114<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">6<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,000<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">2,004<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">7<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,076<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">1,924<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">8<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,136<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">1,864<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">9<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,184<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,816<\/font><\/td>\n  <\/tr>\n  <tr>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" height=\"40\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">10<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"34%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">0,223<\/font><\/td>\n    <td style=\"border-collapse:collapse;border-style:solid;border-color:#000;border-width:1px\" width=\"33%\" align=\"center\" valign=\"middle\" bgcolor=\"#87CEEB\"><font color=\"black\">1,777<\/font><\/td>\n  <\/tr>\n<\/table>\n<br class=\"\">\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul4\">Limites de controlo (UCL e LCL) para o caso em an\u00e1lise:<\/span><\/strong><\/ul>\n<table width=\"100%\" height=\"174\" 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\/12\/XBar_R_06.png\" width=\"426\" height=\"164\" \/><\/div><\/td><\/tr>\n<\/table>\n<table width=\"100%\" height=\"554\" 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\/12\/XBar_R_07.png\" width=\"1035\" height=\"544\" \/><\/div><\/td><\/tr>\n<\/table>\n<p class=\"voltar\"><a href=\"#109\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\n<h4 id=\"sec110\" class=\"MsoNormal\"><strong><span class=\"verde2\">An\u00e1lise das Tend\u00eancias Observadas no Gr\u00e1fico R<\/span><\/strong><\/h4>\n<ul><span class=\"MsoNormal2\"><\/span><span class=\"azul3\">O <b>Gr\u00e1fico R<\/b> complementa o <b>Gr\u00e1fico X-Bar<\/b> ao fornecer informa\u00e7\u00f5es sobre a consist\u00eancia do processo e ajuda a identificar quando as flutua\u00e7\u00f5es na variabilidade indicam problemas.<\/span><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul4\">Verifica\u00e7\u00e3o de Estabilidade<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Padr\u00e3o esperado<\/b>: a maioria dos pontos deve estar dentro dos limites de controlo superior <b>(UCL<sub>R<\/sub>)<\/b> e inferior (<b>LCL<sub>R<\/sub>)<\/b>.<\/span><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Sinais de instabilidade:<\/b><\/span><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\">Pontos fora dos limites (<b>UCL<sub>R<\/sub> ou <\/b><b>LCL<sub>R<\/sub><\/b>).<\/span><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\">Oscila\u00e7\u00f5es abruptas na amplitude entre grupos consecutivos.<\/span><\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Infer\u00eancia no caso<\/b>: os pontos do <b>Gr\u00e1fico R<\/b> est\u00e3o dentro dos limites, indicando que a variabilidade do processo est\u00e1 sob controlo. A consist\u00eancia do processo \u00e9 boa.<\/span><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul4\">Linha Central (R-Bar)<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Padr\u00e3o esperado<\/b>: a amplitude m\u00e9dia (<b>R-Bar<\/b>) deve refletir a variabilidade natural do processo.<\/span><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Sinais de problemas:<\/b><\/span><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Desvio significativo de R-Bar<\/b>: pode indicar mudan\u00e7as nas condi\u00e7\u00f5es do processo (ex.: desgaste de ferramentas ou altera\u00e7\u00f5es no material).<\/span><\/ul><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Oscila\u00e7\u00f5es frequentes acima e abaixo de R-Bar<\/b>: podem sinalizar fatores externos que causam varia\u00e7\u00f5es.<\/span><\/ul><\/ul><\/ul>\n<ul>  <span class=\"wing01\"><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Aplica\u00e7\u00e3o no caso<\/b>: a linha central (<b>R-Bar<\/b>) no gr\u00e1fico indica a amplitude m\u00e9dia. Os pontos seguem um padr\u00e3o aleat\u00f3rio ao redor da linha central, sugerindo que as varia\u00e7\u00f5es s\u00e3o naturais.<\/span><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul4\">Limite Superior de Controlo (UCL<sub>R<\/sub>)<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Padr\u00e3o esperado<\/b>: as amplitudes dos subgrupos devem estar abaixo de <b>UCL<sub>R<\/sub><\/b>.<\/span><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Sinais de problemas:<\/b><\/span><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Pontos acima de UCL<sub>R<\/sub><\/b>: indicam variabilidade especial, possivelmente causada por:<\/span><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span><span class=\"azul3\">M\u00e1quinas desalinhadas ou com folga.<\/span><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span><span class=\"azul3\">Operadores diferentes com m\u00e9todos inconsistentes.<\/span><\/ul><\/ul><\/ul><\/ul>\n<ul><ul><ul><ul><span class=\"wing04\"><\/span><span class=\"padleft\"><\/span><span class=\"azul3\">Problemas no material utilizado.<\/span><\/ul><\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Infer\u00eancia no caso<\/b>: no gr\u00e1fico, todos os pontos est\u00e3o abaixo de <b>UCL<sub>R<\/sub><\/b>, indicando que n\u00e3o h\u00e1 causas especiais de varia\u00e7\u00e3o presentes.<\/span><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul4\">Limite Inferior de Controlo (LCL<sub>R<\/sub>)<\/span><\/strong><\/ul>\n<ul><ul>  <span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Padr\u00e3o esperado<\/b>: n\u00e3o h\u00e1 variabilidade abaixo de <b>LCL<sub>R<\/sub><\/b> (geralmente <b>LCL<sub>R<\/sub> = 0<\/b> para <b>n \u2264 6.n<\/b><\/span><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Sinais de problemas:<\/b><\/span><\/ul><\/ul>\n<ul><ul><ul><span class=\"wing03\"><i class=\"fa fa-check-square-o\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Se valores de R forem consistentemente pr\u00f3ximos de zero<\/b>, pode indicar que os subgrupos foram malformados (ex.: pouca variabilidade entre medi\u00e7\u00f5es no mesmo subgrupo).<\/span><\/ul><\/ul><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Aplica\u00e7\u00e3o no caso<\/b>: o limite inferior (<b>LCL<sub>R<\/sub><\/b>) \u00e9 <b>0<\/b>, e nenhuma amplitude est\u00e1 pr\u00f3xima desse limite. Os subgrupos foram bem formados.<\/span><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul4\">Padr\u00f5es Espec\u00edficos no Gr\u00e1fico R<\/span><\/strong><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Tend\u00eancias crescentes ou decrescentes<\/b>: podem indicar degrada\u00e7\u00e3o progressiva no processo (ex.: desgaste de ferramentas ou mudan\u00e7as na temperatura do ambiente).<\/span><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Oscila\u00e7\u00f5es abruptas<\/b>: podem refletir problemas intermitentes, como falhas ocasionais de equipamento.<\/span><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Baixa variabilidade<\/b>: pode indicar um processo altamente controlado, mas tamb\u00e9m pode mascarar problemas se os subgrupos n\u00e3o forem representativos.<\/span><\/ul><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Para o caso<\/b>: o <b>Gr\u00e1fico R<\/b> n\u00e3o mostra tend\u00eancias nem padr\u00f5es an\u00f3malos. A variabilidade \u00e9 consistente e dentro dos limites esperados.<\/span><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul4\">Rela\u00e7\u00e3o com o Gr\u00e1fico X-Bar<\/span><\/strong><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span><span class=\"azul3\">O <b>Gr\u00e1fico R<\/b> complementa o <b>X-Bar<\/b>, pois um processo com uma m\u00e9dia est\u00e1vel (<b>X-Bar<\/b>) pode ainda apresentar problemas de variabilidade (<b>R<\/b>):<\/span><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Gr\u00e1fico R fora de controlo<\/b>: indica que o processo est\u00e1 inst\u00e1vel em termos de variabilidade, mesmo que a m\u00e9dia esteja controlada.<\/span><\/ul><\/ul>\n<ul><ul><span class=\"wing02\"><i class=\"fa fa-hand-o-right\"><\/i><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>Gr\u00e1fico R est\u00e1vel e X-Bar fora de controlo<\/b>: sugere mudan\u00e7as sistem\u00e1ticas ou causas externas que afetam a m\u00e9dia.<\/span><\/ul><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span><span class=\"azul3\"><b>No caso<\/b>: ambos os gr\u00e1ficos mostram estabilidade, indicando que o processo est\u00e1 sob controlo tanto na m\u00e9dia quanto na variabilidade.<\/span><\/ul>\n<ul><span class=\"wing01\"><i class=\"fa fa-arrow-right\" ><\/i><\/span><span class=\"padleft\"><\/span><strong><span class=\"azul4\">Recomenda\u00e7\u00f5es<\/span><\/strong><\/ul>\n<ul><span class=\"wing01\"><\/span><span class=\"padleft\"><\/span><span class=\"azul3\">Recomenda-se monitorizar continuamente para identificar poss\u00edveis desvios no futuro.<\/span><\/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\">Notas Finais<\/span><\/strong><\/em><\/h4>\n<ul><span class=\"MsoNormal2\"><\/span>A utiliza\u00e7\u00e3o dos <strong><span class=\"azul2\">Gr\u00e1ficos X-Bar e R<\/span><\/strong> vai muito al\u00e9m da simples an\u00e1lise estat\u00edstica; trata-se de um passo crucial na jornada para a excel\u00eancia operacional. Estes gr\u00e1ficos capacitam as equipas a identificar rapidamente varia\u00e7\u00f5es indesejadas, agir de forma proativa e tomar decis\u00f5es baseadas em dados reais. Esta abordagem n\u00e3o s\u00f3 reduz desperd\u00edcios, como tamb\u00e9m melhora a consist\u00eancia dos produtos e servi\u00e7os entregues ao cliente, um pilar essencial para fortalecer a competitividade no mercado.<\/ul>\n<ul><span class=\"MsoNormal2\"><\/span>Ao implementar estas ferramentas, as organiza\u00e7\u00f5es n\u00e3o s\u00f3 garantem conformidade com os requisitos de qualidade, mas tamb\u00e9m promovem uma cultura de melhoria cont\u00ednua. Incentivamos os leitores a incorporar os <strong><span class=\"azul2\">Gr\u00e1ficos X-Bar e R<\/span><\/strong> como parte integrante do seu sistema de controlo de qualidade, explorando o seu potencial para otimizar processos e alcan\u00e7ar resultados sustent\u00e1veis.<\/ul>\n<ul><span class=\"MsoNormal2\"><\/span>Conclu\u00edmos este estudo com a convic\u00e7\u00e3o de que o dom\u00ednio dos <strong><span class=\"azul2\">Gr\u00e1ficos X-Bar e R<\/span><\/strong> n\u00e3o \u00e9 apenas um diferencial t\u00e9cnico, mas um investimento estrat\u00e9gico que posiciona qualquer organiza\u00e7\u00e3o num caminho de sucesso, inova\u00e7\u00e3o e excel\u00eancia.<\/ul>\n<p class=\"voltar\"><a href=\"#indice\"><span class=\"azul2\"><u>Voltar<\/u><\/span><\/a><\/p>\n\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>Os \u201cGr\u00e1ficos X-Bar e R\u201d s\u00e3o ferramentas de controlo estat\u00edstico de processos que monitorizam \u201cm\u00e9dias (X-Bar)\u201d e \u201camplitudes (R)\u201d de amostras de tamanho constante. S\u00e3o particularmente \u00fateis para medir e controlar a \u201cestabilidade de processos\u201d que apresentam variabilidade natural.<br \/>\nS\u00e3o ferramentas indispens\u00e1veis para os quadros e dirigentes que procuram monitorizar, interpretar e agir rapidamente sobre os dados de desempenho, transformando n\u00fameros em decis\u00f5es estrat\u00e9gicas.<\/p>\n","protected":false},"author":5,"featured_media":4590,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[384],"tags":[367,366,368],"class_list":["post-4406","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-metodos-estatisticos-e-analise-de-dados","tag-barra","tag-grafico-x","tag-r"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v24.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Gr\u00e1ficos X-barra e R -<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.probool.com\/?p=4406\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Gr\u00e1ficos X-barra e R -\" \/>\n<meta property=\"og:description\" content=\"Os \u201cGr\u00e1ficos X-Bar e R\u201d s\u00e3o ferramentas de controlo estat\u00edstico de processos que monitorizam \u201cm\u00e9dias (X-Bar)\u201d e \u201camplitudes (R)\u201d de amostras de tamanho constante. S\u00e3o particularmente \u00fateis para medir e controlar a \u201cestabilidade de processos\u201d que apresentam variabilidade natural. S\u00e3o ferramentas indispens\u00e1veis para os quadros e dirigentes que procuram monitorizar, interpretar e agir rapidamente sobre os dados de desempenho, transformando n\u00fameros em decis\u00f5es estrat\u00e9gicas.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.probool.com\/?p=4406\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/proboolnetsoftwaresolutions\/\" \/>\n<meta property=\"article:published_time\" content=\"2025-01-24T11:00:24+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-03-25T14:04:16+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.probool.com\/wp-content\/uploads\/2030\/01\/ArtigoGrafico_XR.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1021\" \/>\n\t<meta property=\"og:image:height\" content=\"424\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"Web Master\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Web Master\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tempo estimado de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"14 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.probool.com\/?p=4406#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.probool.com\/?p=4406\"},\"author\":{\"name\":\"Web Master\",\"@id\":\"https:\/\/www.probool.com\/#\/schema\/person\/f813b7a50e5dd2f52a39d7a302b7cff3\"},\"headline\":\"Gr\u00e1ficos X-barra e R\",\"datePublished\":\"2025-01-24T11:00:24+00:00\",\"dateModified\":\"2025-03-25T14:04:16+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.probool.com\/?p=4406\"},\"wordCount\":2894,\"publisher\":{\"@id\":\"https:\/\/www.probool.com\/#organization\"},\"image\":{\"@id\":\"https:\/\/www.probool.com\/?p=4406#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.probool.com\/wp-content\/uploads\/2030\/01\/ArtigoGrafico_XR.png\",\"keywords\":[\"barra\",\"Gr\u00e1fico. 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