{"id":261,"date":"2023-08-03T10:49:10","date_gmt":"2023-08-03T10:49:10","guid":{"rendered":"https:\/\/statorials.org\/pt\/teste-de-hipotese-para-variancia\/"},"modified":"2023-08-03T10:49:10","modified_gmt":"2023-08-03T10:49:10","slug":"teste-de-hipotese-para-variancia","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/teste-de-hipotese-para-variancia\/","title":{"rendered":"Teste de hip\u00f3tese para vari\u00e2ncia"},"content":{"rendered":"<p>Este artigo explica o que \u00e9 teste de hip\u00f3tese de vari\u00e2ncia. Assim, voc\u00ea encontrar\u00e1 a f\u00f3rmula para teste de hip\u00f3teses de vari\u00e2ncia e, al\u00e9m disso, um exerc\u00edcio resolvido passo a passo. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-prueba-de-hipotesis-para-la-varianza\"><\/span> O que \u00e9 teste de hip\u00f3tese para vari\u00e2ncia?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>O teste de hip\u00f3teses para vari\u00e2ncia<\/strong> \u00e9 um m\u00e9todo estat\u00edstico usado para determinar se deve ou n\u00e3o rejeitar a hip\u00f3tese nula de uma vari\u00e2ncia populacional. Em outras palavras, o teste de hip\u00f3tese de vari\u00e2ncia \u00e9 usado para rejeitar ou aceitar a hip\u00f3tese sobre o valor da vari\u00e2ncia de uma popula\u00e7\u00e3o.<\/p>\n<p> Especificamente, dependendo do valor da estat\u00edstica do teste de hip\u00f3tese para vari\u00e2ncia e do n\u00edvel de signific\u00e2ncia escolhido, a hip\u00f3tese nula \u00e9 rejeitada ou aceita.<\/p>\n<p> Tenha em mente que o teste de hip\u00f3tese tem v\u00e1rios nomes; tamb\u00e9m pode ser chamado de contraste de hip\u00f3tese, teste de hip\u00f3tese ou teste de signific\u00e2ncia. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-prueba-de-hipotesis-para-la-varianza\"><\/span> F\u00f3rmula de teste de hip\u00f3teses para vari\u00e2ncia<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A estat\u00edstica do teste de hip\u00f3tese para vari\u00e2ncia \u00e9 igual \u00e0 diferen\u00e7a entre o tamanho da amostra menos uma vez a vari\u00e2ncia da amostra e dividida pelo valor proposto da vari\u00e2ncia populacional. A estat\u00edstica do teste de hip\u00f3tese para vari\u00e2ncia tem uma <a href=\"https:\/\/statorials.org\/pt\/distribuicao-qui-quadrado\/\">distribui\u00e7\u00e3o qui-quadrado<\/a> .<\/p>\n<p> Assim, a <strong>f\u00f3rmula para c\u00e1lculo da estat\u00edstica do teste de hip\u00f3tese para vari\u00e2ncia<\/strong> \u00e9 a seguinte:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3917636d4c911eeaad1a005195204d08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2=\\cfrac{(n-1)s^2}{\\sigma^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"115\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Ouro:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-984dc78529fc235b078a9f3b62d0f0c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"18\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u00e9 a estat\u00edstica de teste de hip\u00f3tese para vari\u00e2ncia, que tem uma distribui\u00e7\u00e3o qui-quadrado.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 o tamanho da amostra.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3ab572e85f9cb7cb6f495387f2a6ab0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a vari\u00e2ncia da amostra.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c6d52162ef1ec2e8130fb00687aca707_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"18\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a vari\u00e2ncia populacional proposta.<\/li>\n<\/ul>\n<p> Para interpretar o resultado da estat\u00edstica, o valor obtido deve ser comparado com o valor cr\u00edtico do teste.<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Se o teste de hip\u00f3tese de vari\u00e2ncia for bicaudal, a hip\u00f3tese nula ser\u00e1 rejeitada se a estat\u00edstica for maior que o valor cr\u00edtico.\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7bd4ac2951fb286bf19797944cba6955_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{1-\\alpha\/2|n-1}^2\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"81\" style=\"vertical-align: -10px;\"><\/p>\n<p><\/span> ou se o valor cr\u00edtico for menor que<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-931a3f10ab51df1c9003e6cb593907c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{\\alpha\/2|n-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"63\" style=\"vertical-align: -8px;\"><\/p>\n<p> .<\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Se o teste de hip\u00f3tese para a vari\u00e2ncia corresponder \u00e0 cauda direita, a hip\u00f3tese nula ser\u00e1 rejeitada se a estat\u00edstica for maior que o valor cr\u00edtico\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-243ef3cc114070613fd8bee8c61f8c13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{1-\\alpha|n-1}^2\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"67\" style=\"vertical-align: -10px;\"><\/p>\n<p><\/span> .<\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Se o teste de hip\u00f3tese para vari\u00e2ncia corresponder \u00e0 cauda esquerda, a hip\u00f3tese nula ser\u00e1 rejeitada se a estat\u00edstica for menor que o valor cr\u00edtico\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0436c61e0bdff7a21f6e6ab296607c66_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{\\alpha|n-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"49\" style=\"vertical-align: -8px;\"><\/p>\n<p><\/span> .<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ca46378c1a2ee04b5cc5bfa93002fe9c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}H_1: \\sigma^2\\neq \\sigma_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } \\chi^2>\\chi^2_{1-\\alpha\/2|n-1}\\text{ se rechaza } H_0\\\\[3ex]H_1: \\sigma^2\\neq \\sigma_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si }\\chi^2<\\chi^2_{\\alpha\/2|n-1}\\text{ se rechaza } H_0 \\\\[3ex]H_1: \\sigma^2> \\sigma_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } \\chi^2>\\chi^2_{1-\\alpha|n-1}\\text{ se rechaza } H_0\\\\[3ex]H_1: \\sigma^2< \\sigma_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } \\chi^2<\\chi^2_{\\alpha|n-1}\\text{ se rechaza } H_0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"160\" width=\"489\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Os valores cr\u00edticos do teste de hip\u00f3tese para vari\u00e2ncia s\u00e3o obtidos na tabela de distribui\u00e7\u00e3o qui-quadrado. Observe que os graus de liberdade para a distribui\u00e7\u00e3o qui-quadrado s\u00e3o o tamanho da amostra menos 1. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-resuelto-de-la-prueba-de-hipotesis-para-la-varianza\"><\/span> Exemplo do mundo real de teste de hip\u00f3teses para vari\u00e2ncia<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Depois de ver a defini\u00e7\u00e3o de teste de hip\u00f3tese de vari\u00e2ncia e qual \u00e9 sua f\u00f3rmula, veremos um exemplo concreto para finalizar a assimila\u00e7\u00e3o do conceito.<\/p>\n<ul>\n<li> Uma f\u00e1brica possui uma m\u00e1quina que produz pe\u00e7as para um carro com alta precis\u00e3o. Por\u00e9m, suspeita-se que tenha se afastado e agora fabrique pe\u00e7as com folga superior a 8 mm <sup>2<\/sup> . Para refutar esta hip\u00f3tese, uma amostra de 25 pe\u00e7as \u00e9 analisada e sua vari\u00e2ncia amostral \u00e9 de 9,1 mm <sup>2<\/sup> . A hip\u00f3tese inicial pode ser rejeitada com n\u00edvel de signific\u00e2ncia \u03b1=0,05?<\/li>\n<\/ul>\n<p> A hip\u00f3tese nula e a hip\u00f3tese alternativa para este teste de hip\u00f3tese de vari\u00e2ncia s\u00e3o as seguintes:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-95b4fefa064ecb8bcdccd355ef3904a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}H_0: \\sigma^2=8 \\\\[2ex] H_1:\\sigma^2>8 \\end{cases}&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;65&#8243; width=&#8221;101&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/p>\n<\/p>\n<p> Para determinar se a hip\u00f3tese nula pode ou n\u00e3o ser rejeitada, calculamos a estat\u00edstica do teste de hip\u00f3tese para a vari\u00e2ncia usando a f\u00f3rmula que vimos acima: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3917636d4c911eeaad1a005195204d08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2=\\cfrac{(n-1)s^2}{\\sigma^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"115\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-93abb2abcb6878bd1ae0de3d331a67a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2=\\cfrac{(25-1)\\cdot 9,1}{8}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"145\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-15f5c32cdf68c77a76adeb32af123a01_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2=27,3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Procuramos agora o valor cr\u00edtico correspondente \u00e0 cauda direita para 24 graus de liberdade e um n\u00edvel de signific\u00e2ncia \u03b1=0,05 na tabela de distribui\u00e7\u00e3o qui-quadrado:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c0c6c817db31742b8faad397988d3db5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\chi^2_{1-\\alpha|n-1}=\\ \\color{orange}\\bm{?}\\color{black}\\\\[2ex]\\chi^2_{0,95|24}=36,415\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"63\" width=\"200\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Assim, a estat\u00edstica calculada \u00e9 inferior ao valor cr\u00edtico do teste e, portanto, a hip\u00f3tese nula do teste de hip\u00f3tese de vari\u00e2ncia n\u00e3o \u00e9 rejeitada, mas sim a hip\u00f3tese alternativa \u00e9 rejeitada. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-9cc9224f9bcfd311e7dda07696f30d1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"27,3<36,415 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{No se rechaza } H_0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"380\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Veja:<\/strong> <a href=\"https:\/\/statorials.org\/pt\/teste-de-hipotese-para-a-media\/\">Teste de hip\u00f3tese para a m\u00e9dia populacional<\/a><br \/> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Veja:<\/strong> <a href=\"https:\/\/statorials.org\/pt\/teste-de-hipotese-para-proporcao\/\">Teste de hip\u00f3teses para propor\u00e7\u00e3o populacional<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"prueba-de-hipotesis-para-la-varianza-de-dos-poblaciones\"><\/span> Teste de hip\u00f3teses para vari\u00e2ncia de duas popula\u00e7\u00f5es<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>O teste de hip\u00f3tese de vari\u00e2ncia de duas popula\u00e7\u00f5es<\/strong> \u00e9 usado para rejeitar ou aceitar a hip\u00f3tese de que as vari\u00e2ncias de duas popula\u00e7\u00f5es diferentes s\u00e3o iguais.<\/p>\n<p> Assim, a hip\u00f3tese nula de um teste de hip\u00f3tese sobre a vari\u00e2ncia de duas popula\u00e7\u00f5es \u00e9 sempre a seguinte:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-558a070923ca8d1fb80943f6aa9ec3c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"H_0: \\sigma^2_1=\\sigma^2_2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"97\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> E a hip\u00f3tese alternativa pode ser uma das tr\u00eas op\u00e7\u00f5es:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-2ad02ce3bff3905a34a0ba9b6f8d98cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}H_1:\\sigma^2_1\\neq \\sigma^2_2\\\\[2ex]H_1:\\sigma^2_1>\\sigma^2_2\\\\[2ex]H_1:\\sigma^2_1<\\sigma^2_2\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"95\" width=\"97\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Neste caso, a f\u00f3rmula para calcular a estat\u00edstica do teste de hip\u00f3tese para a vari\u00e2ncia de duas popula\u00e7\u00f5es \u00e9:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-589dc6352e9cf19954c33b5beb5b0770_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F=\\cfrac{s_1^2}{s_2^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"56\" style=\"vertical-align: -18px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Ouro:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-88df03c55e081c7cd9da4e7d74ba7265_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a estat\u00edstica de teste de hip\u00f3tese para a vari\u00e2ncia de duas popula\u00e7\u00f5es, que segue uma <a href=\"https:\/\/statorials.org\/pt\/distribuicao-f-da-snedecor\/\">distribui\u00e7\u00e3o F.<\/a><\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c2e8ce841b1fc1e199b133e6f24f6f51_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_1^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"18\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u00e9 a vari\u00e2ncia da popula\u00e7\u00e3o 1.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d5fd430c9ff19057933c215e683ace41_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_2^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"18\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u00e9 a vari\u00e2ncia da popula\u00e7\u00e3o 2.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-59ae3c411ec80f65d56e397f87d29753_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s_1^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"15\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u00e9 a vari\u00e2ncia da amostra 1.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c785df8c080b6984c6205f881426fb10_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s_2^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"15\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u00e9 a vari\u00e2ncia da amostra 2.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-cebc0a013985f2695aeb53ded9e7afb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 o tamanho da amostra 1.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-bf1e42c248eee22a0911c24c95fe28f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 o tamanho da amostra 2.<\/li>\n<\/ul>\n<p> Como a distribui\u00e7\u00e3o Snedecor F n\u00e3o \u00e9 sim\u00e9trica, a hip\u00f3tese nula \u00e9 rejeitada com base nos seguintes crit\u00e9rios:<\/p>\n<p> [l\u00e1tex]\\begin{array}{l}H_1: \\sigma_1^2\\neq \\sigma_2^2 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } F&gt;F_{ 1-\\alpha\/2|n_1-1|n_2-1}\\text{ se rechaza } H_0\\\\[3ex]H_1: \\sigma_1^2\\neq \\sigma_2^2 \\ \\color{orange}\\bm{\\longrightarrow }\\cor{preto} \\ \\text{If }F<f_{\\alpha 2|n_1-1|n_2-1}\\text{=\"\" se=\"\" rechaza=\"\" }=\"\" h_0=\"\" \\\\[3ex]h_1:=\"\" \\sigma_1^2=\"\"> \\sigma_2^2 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{If } F&gt;F_{1-\\alpha|n_1-1|n_2-1}\\text{ se rechaza } H_0\\\\[3ex]H_1: \\sigma_1^2&lt; \\sigma_2^2 \\ \\color{laranja}\\bm{\\longrightarrow}\\color{preto} \\ \\text{Si } F<\/f_{\\alpha><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Este artigo explica o que \u00e9 teste de hip\u00f3tese de vari\u00e2ncia. Assim, voc\u00ea encontrar\u00e1 a f\u00f3rmula para teste de hip\u00f3teses de vari\u00e2ncia e, al\u00e9m disso, um exerc\u00edcio resolvido passo a passo. O que \u00e9 teste de hip\u00f3tese para vari\u00e2ncia? O teste de hip\u00f3teses para vari\u00e2ncia \u00e9 um m\u00e9todo estat\u00edstico usado para determinar se deve ou [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-261","post","type-post","status-publish","format-standard","hentry","category-estatisticas"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Teste de Hip\u00f3teses de Vari\u00e2ncia \u2013 Probabilidade e Estat\u00edstica<\/title>\n<meta name=\"description\" content=\"Este artigo explica o que \u00e9 teste de hip\u00f3tese de vari\u00e2ncia. 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