{"id":4910,"date":"2023-07-06T13:25:56","date_gmt":"2023-07-06T13:25:56","guid":{"rendered":"https:\/\/statorials.org\/pt\/um-exemplo-para-testar-problemas-de-exemplo\/"},"modified":"2023-07-06T13:25:56","modified_gmt":"2023-07-06T13:25:56","slug":"um-exemplo-para-testar-problemas-de-exemplo","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/um-exemplo-para-testar-problemas-de-exemplo\/","title":{"rendered":"Um exemplo de teste t: 3 exemplos de problemas"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Nas estat\u00edsticas, um <a href=\"https:\/\/statorials.org\/pt\/um-teste-t-de-amostra\/\" target=\"_blank\" rel=\"noopener\">teste t de uma amostra<\/a> \u00e9 usado para testar se a m\u00e9dia de uma <a href=\"https:\/\/statorials.org\/pt\/populacao-vs.-amostra\/\" target=\"_blank\" rel=\"noopener\">popula\u00e7\u00e3o<\/a> \u00e9 ou n\u00e3o igual a um determinado valor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Os exemplos a seguir mostram como realizar todos os tr\u00eas tipos de testes t de uma amostra:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Teste t bicaudal de uma amostra<\/span><\/li>\n<li> <span style=\"color: #000000;\">Teste t de uma amostra de cauda direita<\/span><\/li>\n<li> <span style=\"color: #000000;\">Teste t de uma amostra \u00e0 esquerda<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Vamos!<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Exemplo 1: Teste T bicaudal de uma amostra<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Suponha que queiramos saber se o peso m\u00e9dio de uma determinada esp\u00e9cie de tartaruga \u00e9 igual ou n\u00e3o a 310 libras.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Para testar isso, realizaremos um teste t de uma amostra no n\u00edvel de signific\u00e2ncia \u03b1 = 0,05 usando as seguintes etapas:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Etapa 1: Re\u00fana dados de amostra.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Suponha que<\/span> <span style=\"color: #000000;\">coletamos uma amostra aleat\u00f3ria de tartarugas com as seguintes informa\u00e7\u00f5es:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Tamanho da amostra n = 40<\/span><\/li>\n<li> <span style=\"color: #000000;\">Peso m\u00e9dio da amostra <span style=\"text-decoration: overline;\">x<\/span> = 300<\/span><\/li>\n<li> <span style=\"color: #000000;\">Desvio padr\u00e3o amostral s = 18,5<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Etapa 2: Definir suposi\u00e7\u00f5es.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Realizaremos o teste t de uma amostra com as seguintes hip\u00f3teses:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc = 310 (a m\u00e9dia da popula\u00e7\u00e3o \u00e9 igual a 310 livros)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> :<\/strong> \u03bc \u2260 310 (a m\u00e9dia da popula\u00e7\u00e3o n\u00e3o \u00e9 igual a 310 libras)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Etapa 3: Calcule a estat\u00edstica do teste <em>t<\/em> .<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>t<\/strong> = ( <span style=\"text-decoration: overline;\">x<\/span> \u2013 \u03bc) \/ (s\/ <span style=\"text-decoration: overline;\">\u221an<\/span> ) = (300-310) \/ (18,5\/ <span style=\"text-decoration: overline;\">\u221a40<\/span> ) = <strong>-3,4187<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Etapa 4: Calcule o valor p da estat\u00edstica do teste <em>t<\/em> .<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">De acordo com a <a href=\"https:\/\/statorials.org\/pt\/calculadora-de-valor-p-de-pontuacao-t\/\" target=\"_blank\" rel=\"noopener\">calculadora de pontua\u00e7\u00e3o T para valor P<\/a> , o valor p associado a t = -3,4817 e graus de liberdade = n-1 = 40-1 = 39 \u00e9 <strong>0,00149<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Etapa 5: tire uma conclus\u00e3o.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Como esse valor p est\u00e1 abaixo do nosso n\u00edvel de signific\u00e2ncia \u03b1 = 0,05, rejeitamos a hip\u00f3tese nula. Temos evid\u00eancias suficientes para dizer que o peso m\u00e9dio desta esp\u00e9cie de tartaruga n\u00e3o \u00e9 igual a 310 libras.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Exemplo 2: Teste T em uma amostra de cauda reta<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Suponha que suspeitemos que a pontua\u00e7\u00e3o m\u00e9dia de um determinado vestibular seja superior \u00e0 pontua\u00e7\u00e3o m\u00e9dia aceita de 82.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Para testar isso, realizaremos um teste t correto de uma amostra no n\u00edvel de signific\u00e2ncia \u03b1 = 0,05 usando as seguintes etapas:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Etapa 1: Re\u00fana dados de amostra.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Suponha que<\/span> <span style=\"color: #000000;\">coletemos uma amostra aleat\u00f3ria de resultados de exames com as seguintes informa\u00e7\u00f5es:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Tamanho da amostra n = 60<\/span><\/li>\n<li> <span style=\"color: #000000;\">M\u00e9dia amostral <span style=\"text-decoration: overline;\">x<\/span> = 84<\/span><\/li>\n<li> <span style=\"color: #000000;\">Desvio padr\u00e3o da amostra s = 8,1<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Etapa 2: Definir suposi\u00e7\u00f5es.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Realizaremos o teste t de uma amostra com as seguintes hip\u00f3teses:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u00b5 \u2264 82<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> :<\/strong> \u03bc &gt; 82<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Etapa 3: Calcule a estat\u00edstica do teste <em>t<\/em> .<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>t<\/strong> = ( <span style=\"text-decoration: overline;\">X<\/span> \u2013 \u03bc) \/ (s\/ <span style=\"text-decoration: overline;\">\u221an<\/span> ) = (84-82) \/ (8,1\/ <span style=\"text-decoration: overline;\">\u221a60<\/span> ) = <strong>1,9125<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Etapa 4: Calcule o valor p da estat\u00edstica do teste <em>t<\/em> .<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">De acordo com a <a href=\"https:\/\/statorials.org\/pt\/calculadora-de-valor-p-de-pontuacao-t\/\" target=\"_blank\" rel=\"noopener\">calculadora de pontua\u00e7\u00e3o T para valor P<\/a> , o valor p associado a t = 1,9125 e graus de liberdade = n-1 = 60-1 = 59 \u00e9 <strong>0,0303<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Etapa 5: tire uma conclus\u00e3o.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Como esse valor p est\u00e1 abaixo do nosso n\u00edvel de signific\u00e2ncia \u03b1 = 0,05, rejeitamos a hip\u00f3tese nula. Temos evid\u00eancias suficientes para dizer que a pontua\u00e7\u00e3o m\u00e9dia neste exame espec\u00edfico est\u00e1 acima de 82.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Exemplo 3: Teste T em uma amostra \u00e0 esquerda<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Suponhamos que suspeitamos que a altura m\u00e9dia de uma determinada esp\u00e9cie de planta \u00e9 inferior \u00e0 altura m\u00e9dia aceita de 25 cent\u00edmetros.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Para testar isso, realizaremos um teste t para amostra esquerda no n\u00edvel de signific\u00e2ncia \u03b1 = 0,05 usando as seguintes etapas:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Etapa 1: Re\u00fana dados de amostra.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Suponha que<\/span> <span style=\"color: #000000;\">coletamos uma amostra aleat\u00f3ria de plantas com as seguintes informa\u00e7\u00f5es:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Tamanho da amostra n = 25<\/span><\/li>\n<li> <span style=\"color: #000000;\">M\u00e9dia amostral <span style=\"text-decoration: overline;\">x<\/span> = 9,5<\/span><\/li>\n<li> <span style=\"color: #000000;\">Desvio padr\u00e3o da amostra s = 3,5<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Etapa 2: Definir suposi\u00e7\u00f5es.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Realizaremos o teste t de uma amostra com as seguintes hip\u00f3teses:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u00b5 \u2265 10<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> :<\/strong> \u03bc &lt; 10<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Etapa 3: Calcule a estat\u00edstica do teste <em>t<\/em> .<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>t<\/strong> = ( <span style=\"text-decoration: overline;\">x<\/span> \u2013 \u03bc) \/ (s\/ <span style=\"text-decoration: overline;\">\u221an<\/span> ) = (9,5-10) \/ (3,5\/ <span style=\"text-decoration: overline;\">\u221a25<\/span> ) = <strong>-0,7143<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Etapa 4: Calcule o valor p da estat\u00edstica do teste <em>t<\/em> .<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">De acordo com a <a href=\"https:\/\/statorials.org\/pt\/calculadora-de-valor-p-de-pontuacao-t\/\" target=\"_blank\" rel=\"noopener\">calculadora de pontua\u00e7\u00e3o T para valor P<\/a> , o valor p associado a t = -0,7143 e graus de liberdade = n-1 = 25-1 = 24 \u00e9 <strong>0,24097<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Etapa 5: tire uma conclus\u00e3o.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Como este valor p n\u00e3o \u00e9 inferior ao nosso n\u00edvel de signific\u00e2ncia \u03b1 = 0,05, n\u00e3o rejeitamos a hip\u00f3tese nula. N\u00e3o temos evid\u00eancias suficientes para dizer que a altura m\u00e9dia desta esp\u00e9cie de planta em particular seja inferior a 25 cent\u00edmetros.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Os tutoriais a seguir fornecem informa\u00e7\u00f5es adicionais sobre testes de hip\u00f3teses:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/pt\/um-teste-t-de-amostra\/\" target=\"_blank\" rel=\"noopener\">Introdu\u00e7\u00e3o ao teste t de uma amostra<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/uma-calculadora-de-teste-t-de-amostra\/\" target=\"_blank\" rel=\"noopener\">Um exemplo de calculadora de teste t<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/uma-amostra-de-teste-t-excel\/\" target=\"_blank\" rel=\"noopener\">Como realizar um teste t de uma amostra no Excel<\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Nas estat\u00edsticas, um teste t de uma amostra \u00e9 usado para testar se a m\u00e9dia de uma popula\u00e7\u00e3o \u00e9 ou n\u00e3o igual a um determinado valor. Os exemplos a seguir mostram como realizar todos os tr\u00eas tipos de testes t de uma amostra: Teste t bicaudal de uma amostra Teste t de uma amostra de [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-4910","post","type-post","status-publish","format-standard","hentry","category-guia"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Um teste T de amostra: 3 exemplos de problemas - Estatologia<\/title>\n<meta name=\"description\" content=\"Este tutorial fornece v\u00e1rios exemplos de problemas de teste t com solu\u00e7\u00f5es.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/pt\/um-exemplo-para-testar-problemas-de-exemplo\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Um teste T de amostra: 3 exemplos de problemas - Estatologia\" \/>\n<meta property=\"og:description\" content=\"Este tutorial fornece v\u00e1rios exemplos de problemas de teste t com solu\u00e7\u00f5es.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/um-exemplo-para-testar-problemas-de-exemplo\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-06T13:25:56+00:00\" \/>\n<meta name=\"author\" content=\"Dr. benjamim anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr. benjamim anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tempo estimado de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/um-exemplo-para-testar-problemas-de-exemplo\/\",\"url\":\"https:\/\/statorials.org\/pt\/um-exemplo-para-testar-problemas-de-exemplo\/\",\"name\":\"Um teste T de amostra: 3 exemplos de problemas - Estatologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-06T13:25:56+00:00\",\"dateModified\":\"2023-07-06T13:25:56+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial fornece v\u00e1rios exemplos de problemas de teste t com solu\u00e7\u00f5es.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/um-exemplo-para-testar-problemas-de-exemplo\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/um-exemplo-para-testar-problemas-de-exemplo\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/um-exemplo-para-testar-problemas-de-exemplo\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Um exemplo de teste t: 3 exemplos de problemas\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pt\/#website\",\"url\":\"https:\/\/statorials.org\/pt\/\",\"name\":\"Statorials\",\"description\":\"O seu guia para a literacia estat\u00edstica!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pt\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pt-PT\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\",\"name\":\"Dr. benjamim anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pt-PT\",\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr. benjamim anderson\"},\"description\":\"Ol\u00e1, sou Benjamin, um professor aposentado de estat\u00edstica que se tornou professor dedicado na Statorials. 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