{"id":1708,"date":"2023-07-25T07:27:17","date_gmt":"2023-07-25T07:27:17","guid":{"rendered":"https:\/\/statorials.org\/pt\/teorema-do-limite-central-ti-84\/"},"modified":"2023-07-25T07:27:17","modified_gmt":"2023-07-25T07:27:17","slug":"teorema-do-limite-central-ti-84","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/teorema-do-limite-central-ti-84\/","title":{"rendered":"Como aplicar o teorema do limite central na calculadora ti-84"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">O <a href=\"https:\/\/statorials.org\/pt\/teorema-do-limite-central\/\" target=\"_blank\" rel=\"noopener\">teorema do limite central<\/a> afirma que a distribui\u00e7\u00e3o amostral de uma m\u00e9dia amostral \u00e9 aproximadamente normal se o tamanho da amostra for grande o suficiente, mesmo que a distribui\u00e7\u00e3o populacional n\u00e3o seja normal.<\/span><\/p>\n<p> <span style=\"color: #000000;\">O teorema do limite central tamb\u00e9m afirma que a distribui\u00e7\u00e3o amostral ter\u00e1 as seguintes propriedades:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> A m\u00e9dia da distribui\u00e7\u00e3o amostral ser\u00e1 igual \u00e0 m\u00e9dia da distribui\u00e7\u00e3o populacional:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong><span style=\"border-top: 1px solid black;\">x<\/span> = \u00b5<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> O desvio padr\u00e3o da distribui\u00e7\u00e3o amostral ser\u00e1 igual ao desvio padr\u00e3o da popula\u00e7\u00e3o dividido pelo tamanho da amostra:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>s = \u03c3\/ <span style=\"text-decoration: overline;\">\u221an<\/span><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Para encontrar as probabilidades relacionadas \u00e0 m\u00e9dia amostral em uma calculadora TI-84, podemos usar a fun\u00e7\u00e3o <strong>normalcdf()<\/strong> com a seguinte sintaxe:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 17px;\"> <strong><span style=\"color: #3366ff;\">normalcdf<\/span> (lower value, upper value, <span style=\"border-top: 1px solid black;\">x<\/span> , s\/\u221a <span style=\"border-top: 1px solid black;\">n<\/span> )\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Ouro:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><span style=\"border-top: 1px solid black;\">x<\/span><\/strong> : m\u00e9dia amostral<\/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;\">Para acessar esta fun\u00e7\u00e3o em uma calculadora TI-84, simplesmente pressione <span style=\"border: 1px solid black;\">2nd<\/span> , pressione <span style=\"border: 1px solid black;\">VARS<\/span> e v\u00e1 at\u00e9 <span style=\"border: 1px solid black;\">normalcdf (<\/span> e pressione <span style=\"border: 1px solid black;\">ENTER<\/span> .<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16817 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/clt1.png\" alt=\"\" width=\"285\" height=\"247\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Os exemplos a seguir mostram como usar esta fun\u00e7\u00e3o na pr\u00e1tica.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo 1: Encontre a probabilidade entre dois valores<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Uma distribui\u00e7\u00e3o tem m\u00e9dia de 70 e desvio padr\u00e3o de 7. Se selecionarmos uma amostra aleat\u00f3ria de tamanho n = 35, encontre a probabilidade de que a m\u00e9dia da amostra esteja entre 68 e 72.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Podemos usar a seguinte sintaxe na TI-84:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 17px;\"> <strong><span style=\"color: #3366ff;\">normalcdf<\/span> (68, 72, 70, 7\/\u221a <span style=\"border-top: 1px solid black;\">35<\/span> )<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-16819\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/clt2.png\" alt=\"Exemplo de probabilidade do teorema do limite central na calculadora TI-84\" width=\"260\" height=\"225\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A probabilidade de a m\u00e9dia amostral estar entre 68 e 72 \u00e9 <strong>0,909<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo 2: Encontrando uma probabilidade maior que um valor<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Uma distribui\u00e7\u00e3o tem m\u00e9dia de 50 e desvio padr\u00e3o de 4. Se selecionarmos uma amostra aleat\u00f3ria de tamanho n = 30, encontre a probabilidade de que a m\u00e9dia da amostra seja maior que 48.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Podemos usar a seguinte sintaxe na TI-84:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 17px;\"> <strong><span style=\"color: #3366ff;\">normalcdf<\/span> (48, E99, 50, 4\/\u221a <span style=\"border-top: 1px solid black;\">30<\/span> )<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>Nota:<\/strong> Voc\u00ea pode acessar o s\u00edmbolo \u201cE\u201d pressionando <span style=\"border: 1px solid black;\">2<\/span> e, em seguida, pressionando o bot\u00e3o <span style=\"border: 1px solid black;\">,<\/span> .<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16820 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/clt3.png\" alt=\"\" width=\"265\" height=\"227\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A probabilidade de a m\u00e9dia amostral ser maior que 48 \u00e9 <strong>0,9969<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo 3: Encontrando uma probabilidade menor que um valor<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Uma distribui\u00e7\u00e3o tem m\u00e9dia 20 e desvio padr\u00e3o 3. Se selecionarmos uma amostra aleat\u00f3ria de tamanho n = 40, encontre a probabilidade de que a m\u00e9dia da amostra seja menor que 19.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Podemos usar a seguinte sintaxe na TI-84:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 17px;\"> <strong><span style=\"color: #3366ff;\">normalcdf<\/span> (-E99, 19, 20, 3\/\u221a <span style=\"border-top: 1px solid black;\">40<\/span> )<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16822 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/clt4.png\" alt=\"\" width=\"280\" height=\"236\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A probabilidade de a m\u00e9dia amostral ser inferior a 19 \u00e9 <strong>0,0175<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/pt\/teorema-do-limite-central\/\" target=\"_blank\" rel=\"noopener\">Uma introdu\u00e7\u00e3o ao teorema do limite central<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/calculadora-do-teorema-do-limite-central\/\" target=\"_blank\" rel=\"noopener\">Calculadora do Teorema do Limite Central<\/a><br \/><a href=\"https:\/\/statorials.org\/pt\/teorema-do-limite-central-excel\/\" target=\"_blank\" rel=\"noopener\">Como Aplicar o Teorema do Limite Central no Excel<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/condicoes-teorema-do-limite-central\/\" target=\"_blank\" rel=\"noopener\">Teorema do limite central: as quatro condi\u00e7\u00f5es a serem cumpridas<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>O teorema do limite central afirma que a distribui\u00e7\u00e3o amostral de uma m\u00e9dia amostral \u00e9 aproximadamente normal se o tamanho da amostra for grande o suficiente, mesmo que a distribui\u00e7\u00e3o populacional n\u00e3o seja normal. O teorema do limite central tamb\u00e9m afirma que a distribui\u00e7\u00e3o amostral ter\u00e1 as seguintes propriedades: 1. A m\u00e9dia da distribui\u00e7\u00e3o amostral [&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-1708","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>Como aplicar o teorema do limite central na calculadora TI-84<\/title>\n<meta name=\"description\" content=\"Este tutorial explica como usar o teorema do limite central para calcular probabilidades em uma calculadora TI-84, com 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\/teorema-do-limite-central-ti-84\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Como aplicar o teorema do limite central na calculadora TI-84\" \/>\n<meta property=\"og:description\" content=\"Este tutorial explica como usar o teorema do limite central para calcular probabilidades em uma calculadora TI-84, com exemplos.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/teorema-do-limite-central-ti-84\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-25T07:27:17+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/clt1.png\" \/>\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=\"2 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/teorema-do-limite-central-ti-84\/\",\"url\":\"https:\/\/statorials.org\/pt\/teorema-do-limite-central-ti-84\/\",\"name\":\"Como aplicar o teorema do limite central na calculadora TI-84\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-25T07:27:17+00:00\",\"dateModified\":\"2023-07-25T07:27:17+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial explica como usar o teorema do limite central para calcular probabilidades em uma calculadora TI-84, com exemplos.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/teorema-do-limite-central-ti-84\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/teorema-do-limite-central-ti-84\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/teorema-do-limite-central-ti-84\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Como aplicar o teorema do limite central na calculadora ti-84\"}]},{\"@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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