{"id":3810,"date":"2023-07-15T10:15:03","date_gmt":"2023-07-15T10:15:03","guid":{"rendered":"https:\/\/statorials.org\/pt\/s-quadrado-n\/"},"modified":"2023-07-15T10:15:03","modified_gmt":"2023-07-15T10:15:03","slug":"s-quadrado-n","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/s-quadrado-n\/","title":{"rendered":"Quando usar s\/sqrt(n) em estat\u00edsticas"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Nas estat\u00edsticas, voc\u00ea encontrar\u00e1 a f\u00f3rmula <strong>s\/\u221a <span style=\"text-decoration: overline;\">n<\/span><\/strong> em diferentes cen\u00e1rios.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Esta f\u00f3rmula \u00e9 usada para calcular o erro padr\u00e3o de uma m\u00e9dia amostral.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Na f\u00f3rmula, <strong>s<\/strong> representa o desvio padr\u00e3o da amostra e <strong>n<\/strong> representa o tamanho da amostra.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Esta f\u00f3rmula aparece no c\u00e1lculo de dois testes estat\u00edsticos:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> Um teste t de amostra<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> Intervalo de confian\u00e7a para uma m\u00e9dia populacional<\/span><\/p>\n<p> <span style=\"color: #000000;\">Os exemplos a seguir mostram como usar <strong>s\/\u221a <span style=\"text-decoration: overline;\">n<\/span><\/strong> nesses dois cen\u00e1rios.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Exemplo 1: Usando s \/ sqrt(n) em um teste t de uma amostra<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Um <strong>teste t de uma amostra<\/strong> \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;\">Usamos a seguinte f\u00f3rmula para calcular a estat\u00edstica do teste t:<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">t = ( <span style=\"text-decoration: overline;\">X<\/span> \u2013 \u03bc) \/ (s\/ <span style=\"text-decoration: overline;\">\u221an<\/span> )<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Ouro:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span> :<\/strong> m\u00e9dias amostrais<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03bc <sub>0<\/sub> :<\/strong> m\u00e9dia hipot\u00e9tica da popula\u00e7\u00e3o<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s:<\/strong> desvio padr\u00e3o da amostra<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> tamanho da amostra<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Por exemplo, digamos que queremos testar se o peso m\u00e9dio das tartarugas numa determinada popula\u00e7\u00e3o \u00e9 ou n\u00e3o igual a 300 libras.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Coletamos uma <a href=\"https:\/\/statorials.org\/pt\/metodos-de-amostragem\/\" target=\"_blank\" rel=\"noopener\">amostra aleat\u00f3ria simples<\/a> 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;\">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><sub>HA<\/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;\">Primeiro, calcularemos a estat\u00edstica de teste:<\/span><\/p>\n<p> <span style=\"color: #000000;\">t = ( <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> ) = -3,4187<\/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 T score para P Value<\/a> , o valor p associado a t = -3,4817 e graus de liberdade = n-1 = 40-1 = 39 \u00e9 0,00149.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Como esse valor p \u00e9 menor que 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: Usando s \/ sqrt(n) em um intervalo de confian\u00e7a para uma m\u00e9dia populacional<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Um <strong>intervalo de confian\u00e7a para uma m\u00e9dia populacional<\/strong> \u00e9 um intervalo de valores que provavelmente conter\u00e1 uma m\u00e9dia populacional com um certo n\u00edvel de confian\u00e7a.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Usamos a seguinte f\u00f3rmula para calcular um intervalo de confian\u00e7a para uma m\u00e9dia:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Intervalo de confian\u00e7a = <span style=\"text-decoration: overline;\">x<\/span> +\/- t <sub>n-1, 1-\u03b1\/2<\/sub> *(s\/\u221a <span style=\"text-decoration: overline;\">n<\/span> )<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Ouro:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span> :<\/strong> m\u00e9dia amostral<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>t:<\/strong> o valor t-cr\u00edtico<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s:<\/strong> desvio padr\u00e3o da amostra<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> tamanho da amostra<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Por exemplo, suponha que queiramos calcular um intervalo de confian\u00e7a para o verdadeiro peso m\u00e9dio das tartarugas numa determinada popula\u00e7\u00e3o.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Coletamos uma amostra aleat\u00f3ria simples 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;\">Podemos usar a seguinte f\u00f3rmula para calcular um intervalo de confian\u00e7a de 95% para o verdadeiro peso m\u00e9dio da popula\u00e7\u00e3o de tartarugas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">IC 95% = <span style=\"text-decoration: overline;\">x<\/span> +\/- t <sub>n-1, 1-\u03b1\/2<\/sub> *(s\/\u221a <span style=\"text-decoration: overline;\">n<\/span> )<\/span><\/li>\n<li> <span style=\"color: #000000;\"><span style=\"color: #000000;\">IC 95% = 300 +\/- (2,022691) * (18,5\/\u221a <span style=\"text-decoration: overline;\">40<\/span> )<\/span><\/span><\/li>\n<li> <span style=\"color: #000000;\">IC 95% = [294,083, 305,917]<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">O intervalo de confian\u00e7a de 95% para o verdadeiro peso m\u00e9dio da popula\u00e7\u00e3o de tartarugas est\u00e1 entre 294.083 libras e 305.917 libras.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Os tutoriais a seguir explicam como calcular um erro padr\u00e3o de uma m\u00e9dia em diferentes softwares:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pt\/erro-padrao-do-excel\/\" target=\"_blank\" rel=\"noopener\">Como calcular o erro padr\u00e3o da m\u00e9dia no Excel<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/erro-padrao-da-media-r\/\" target=\"_blank\" rel=\"noopener\">Como calcular o erro padr\u00e3o da m\u00e9dia em R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/erro-padrao-da-media-do-python\/\" target=\"_blank\" rel=\"noopener\">Como calcular o erro padr\u00e3o da m\u00e9dia em Python<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Nas estat\u00edsticas, voc\u00ea encontrar\u00e1 a f\u00f3rmula s\/\u221a n em diferentes cen\u00e1rios. Esta f\u00f3rmula \u00e9 usada para calcular o erro padr\u00e3o de uma m\u00e9dia amostral. Na f\u00f3rmula, s representa o desvio padr\u00e3o da amostra e n representa o tamanho da amostra. Esta f\u00f3rmula aparece no c\u00e1lculo de dois testes estat\u00edsticos: 1. Um teste t de amostra [&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-3810","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>Quando usar s\/sqrt(n) em estat\u00edsticas - Estatologia<\/title>\n<meta name=\"description\" content=\"Este tutorial explica quando usar a f\u00f3rmula s\/sqrt(n) em estat\u00edsticas, com v\u00e1rios exemplos.\" \/>\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\/s-quadrado-n\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Quando usar s\/sqrt(n) em estat\u00edsticas - Estatologia\" \/>\n<meta property=\"og:description\" content=\"Este tutorial explica quando usar a f\u00f3rmula s\/sqrt(n) em estat\u00edsticas, com v\u00e1rios exemplos.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/s-quadrado-n\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-15T10:15:03+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=\"3 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/s-quadrado-n\/\",\"url\":\"https:\/\/statorials.org\/pt\/s-quadrado-n\/\",\"name\":\"Quando usar s\/sqrt(n) em estat\u00edsticas - Estatologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-15T10:15:03+00:00\",\"dateModified\":\"2023-07-15T10:15:03+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial explica quando usar a f\u00f3rmula s\/sqrt(n) em estat\u00edsticas, com v\u00e1rios exemplos.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/s-quadrado-n\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/s-quadrado-n\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/s-quadrado-n\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Quando usar s\/sqrt(n) em estat\u00edsticas\"}]},{\"@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. Com vasta experi\u00eancia e conhecimento na \u00e1rea de estat\u00edstica, estou empenhado em compartilhar meu conhecimento para capacitar os alunos por meio de Statorials. Saber mais\",\"sameAs\":[\"https:\/\/statorials.org\/pt\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Quando usar s\/sqrt(n) em estat\u00edsticas - Estatologia","description":"Este tutorial explica quando usar a f\u00f3rmula s\/sqrt(n) em estat\u00edsticas, com v\u00e1rios exemplos.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/pt\/s-quadrado-n\/","og_locale":"pt_PT","og_type":"article","og_title":"Quando usar s\/sqrt(n) em estat\u00edsticas - Estatologia","og_description":"Este tutorial explica quando usar a f\u00f3rmula s\/sqrt(n) em estat\u00edsticas, com v\u00e1rios exemplos.","og_url":"https:\/\/statorials.org\/pt\/s-quadrado-n\/","og_site_name":"Statorials","article_published_time":"2023-07-15T10:15:03+00:00","author":"Dr. benjamim anderson","twitter_card":"summary_large_image","twitter_misc":{"Escrito por":"Dr. benjamim anderson","Tempo estimado de leitura":"3 minutos"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/pt\/s-quadrado-n\/","url":"https:\/\/statorials.org\/pt\/s-quadrado-n\/","name":"Quando usar s\/sqrt(n) em estat\u00edsticas - Estatologia","isPartOf":{"@id":"https:\/\/statorials.org\/pt\/#website"},"datePublished":"2023-07-15T10:15:03+00:00","dateModified":"2023-07-15T10:15:03+00:00","author":{"@id":"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666"},"description":"Este tutorial explica quando usar a f\u00f3rmula s\/sqrt(n) em estat\u00edsticas, com v\u00e1rios exemplos.","breadcrumb":{"@id":"https:\/\/statorials.org\/pt\/s-quadrado-n\/#breadcrumb"},"inLanguage":"pt-PT","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/pt\/s-quadrado-n\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/pt\/s-quadrado-n\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Lar","item":"https:\/\/statorials.org\/pt\/"},{"@type":"ListItem","position":2,"name":"Quando usar s\/sqrt(n) em estat\u00edsticas"}]},{"@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. Com vasta experi\u00eancia e conhecimento na \u00e1rea de estat\u00edstica, estou empenhado em compartilhar meu conhecimento para capacitar os alunos por meio de Statorials. Saber mais","sameAs":["https:\/\/statorials.org\/pt"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/posts\/3810","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/comments?post=3810"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/posts\/3810\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/media?parent=3810"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/categories?post=3810"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/tags?post=3810"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}