{"id":1032,"date":"2023-07-27T22:09:47","date_gmt":"2023-07-27T22:09:47","guid":{"rendered":"https:\/\/statorials.org\/tr\/buyuk-ornek-durumu\/"},"modified":"2023-07-27T22:09:47","modified_gmt":"2023-07-27T22:09:47","slug":"buyuk-ornek-durumu","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/buyuk-ornek-durumu\/","title":{"rendered":"B\u00fcy\u00fck bir numunenin durumu: tan\u0131m ve \u00f6rnek"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistikte, <a href=\"https:\/\/statorials.org\/tr\/hipotez-testi-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">hipotez testleri<\/a> veya<a href=\"https:\/\/statorials.org\/tr\/guvenilirlik-araligi\/\" target=\"_blank\" rel=\"noopener noreferrer\">g\u00fcven aral\u0131klar\u0131<\/a> yoluyla pop\u00fclasyonlar hakk\u0131nda sonu\u00e7lara varmak i\u00e7in s\u0131kl\u0131kla <a href=\"https:\/\/statorials.org\/tr\/populasyon-ve-ornek\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u00f6rnekleri<\/a> kullanmak isteriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Hipotez testlerinde ve g\u00fcven aral\u0131klar\u0131nda kulland\u0131\u011f\u0131m\u0131z form\u00fcllerin \u00e7o\u011fu, belirli bir \u00f6rne\u011fin kabaca normal bir da\u011f\u0131l\u0131m izledi\u011fini varsayar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak bu hipotezi g\u00fcvenli bir \u015fekilde form\u00fcle etmek i\u00e7in \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcm\u00fcz\u00fcn yeterince b\u00fcy\u00fck oldu\u011fundan emin olmam\u0131z gerekir. \u00d6zellikle, <strong>b\u00fcy\u00fck \u00f6rneklem ko\u015fulunun<\/strong> kar\u015f\u0131land\u0131\u011f\u0131ndan emin olmam\u0131z gerekiyor.<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>B\u00fcy\u00fck \u00f6rneklem ko\u015fulu:<\/strong> \u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc en az 30\u2019dur.<\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\"><em><strong>Not:<\/strong> Baz\u0131 ders kitaplar\u0131nda \u201cyeterince b\u00fcy\u00fck\u201d \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc en az 40 olarak tan\u0131mlanmaktad\u0131r, ancak 30 say\u0131s\u0131 daha yayg\u0131n olarak kullan\u0131lmaktad\u0131r.<\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu ko\u015ful kar\u015f\u0131land\u0131\u011f\u0131nda,<a href=\"https:\/\/statorials.org\/tr\/ornekleme-dagilimi-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">numune ortalamalar\u0131n\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n<\/a> yakla\u015f\u0131k olarak normal oldu\u011fu varsay\u0131labilir. Bu varsay\u0131m, \u00f6rneklerin al\u0131nd\u0131klar\u0131 pop\u00fclasyonlar hakk\u0131nda sonu\u00e7lar \u00e7\u0131karmak i\u00e7in kullanmam\u0131za olanak tan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">30 say\u0131s\u0131n\u0131n kullan\u0131lmas\u0131n\u0131n nedeni merkezi limit teoremine dayanmaktad\u0131r. Bu <a href=\"https:\/\/statorials.org\/tr\/merkezi-limit-teoremi\/\" target=\"_blank\" rel=\"noopener noreferrer\">blog yaz\u0131s\u0131nda<\/a> bununla ilgili daha fazla bilgi edinebilirsiniz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: B\u00fcy\u00fck bir numunenin durumunun kontrol edilmesi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Belirli bir makinenin kraker \u00fcretti\u011fini varsayal\u0131m. Bu kurabiyelerin a\u011f\u0131rl\u0131k da\u011f\u0131l\u0131m\u0131, ortalama 10 ons ve standart sapma 2 ons olacak \u015fekilde sa\u011fa \u00e7arp\u0131kt\u0131r. Bu makine taraf\u0131ndan \u00fcretilen 100 kurabiyeden olu\u015fan basit rastgele bir \u00f6rnek al\u0131rsak, bu \u00f6rnekteki kurabiyelerin ortalama a\u011f\u0131rl\u0131\u011f\u0131n\u0131n 9,8 onstan az olma olas\u0131l\u0131\u011f\u0131 nedir?<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu soruyu cevaplamak i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/hizli-normal-cdf-hesaplayici\/\" target=\"_blank\" rel=\"noopener noreferrer\">normal CDF hesaplay\u0131c\u0131s\u0131n\u0131<\/a> kullanabiliriz ancak \u00f6ncelikle \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcn\u00fcn \u00f6rnekleme ortalamas\u0131n\u0131n da\u011f\u0131l\u0131m\u0131n\u0131n normal oldu\u011funu varsayacak kadar b\u00fcy\u00fck oldu\u011funu do\u011frulamam\u0131z gerekir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnekte \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcm\u00fcz <strong>n = 100<\/strong> olup, 30&#8217;dan \u00e7ok daha b\u00fcy\u00fckt\u00fcr. Ger\u00e7ek \u00e7erez a\u011f\u0131rl\u0131k da\u011f\u0131l\u0131m\u0131n\u0131n sa\u011fa \u00e7arp\u0131k olmas\u0131na ra\u011fmen \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcm\u00fcz &#8220;yeterince b\u00fcy\u00fck&#8221; oldu\u011fundan da\u011f\u0131l\u0131m\u0131n \u015f\u00f6yle oldu\u011funu varsayabiliriz: \u00f6rnekleme ortalamas\u0131 normaldir. B\u00f6ylece bu sorunu \u00e7\u00f6zmek i\u00e7in normal CDF hesaplay\u0131c\u0131y\u0131 g\u00fcvenle kullanabiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>B\u00fcy\u00fck numunelerin durumundaki de\u011fi\u015fiklikler<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00c7o\u011funlukla, \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc 30&#8217;dan b\u00fcy\u00fck veya 30&#8217;a e\u015fitse &#8220;yeterince b\u00fcy\u00fck&#8221; kabul edilir, ancak bu say\u0131, n\u00fcfus da\u011f\u0131l\u0131m\u0131n\u0131n temel \u015fekline ba\u011fl\u0131 olarak biraz de\u011fi\u015febilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6zellikle:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">N\u00fcfus da\u011f\u0131l\u0131m\u0131 simetrikse, 15 kadar k\u00fc\u00e7\u00fck bir \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc bazen yeterli olabilir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">N\u00fcfus da\u011f\u0131l\u0131m\u0131 \u00e7arp\u0131ksa genellikle en az 30 ki\u015fiden olu\u015fan bir \u00f6rneklem gereklidir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">N\u00fcfus da\u011f\u0131l\u0131m\u0131 a\u015f\u0131r\u0131 derecede \u00e7arp\u0131ksa 40 veya daha fazla ki\u015fiden olu\u015fan bir \u00f6rneklem gerekli olabilir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">N\u00fcfus da\u011f\u0131l\u0131m\u0131n\u0131n \u015fekline ba\u011fl\u0131 olarak, merkezi limit teoreminin uygulanmas\u0131 i\u00e7in 30&#8217;dan b\u00fcy\u00fck veya k\u00fc\u00e7\u00fck bir \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcne ihtiyac\u0131n\u0131z olabilir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/merkezi-limit-teoremi\/\" target=\"_blank\" rel=\"noopener noreferrer\">Merkezi limit teoremine giri\u015f<\/a><br \/><a href=\"https:\/\/statorials.org\/tr\/ornekleme-dagilimi-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u00d6rnekleme Da\u011f\u0131l\u0131mlar\u0131na Giri\u015f<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistikte, hipotez testleri veyag\u00fcven aral\u0131klar\u0131 yoluyla pop\u00fclasyonlar hakk\u0131nda sonu\u00e7lara varmak i\u00e7in s\u0131kl\u0131kla \u00f6rnekleri kullanmak isteriz. Hipotez testlerinde ve g\u00fcven aral\u0131klar\u0131nda kulland\u0131\u011f\u0131m\u0131z form\u00fcllerin \u00e7o\u011fu, belirli bir \u00f6rne\u011fin kabaca normal bir da\u011f\u0131l\u0131m izledi\u011fini varsayar. Ancak bu hipotezi g\u00fcvenli bir \u015fekilde form\u00fcle etmek i\u00e7in \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcm\u00fcz\u00fcn yeterince b\u00fcy\u00fck oldu\u011fundan emin olmam\u0131z gerekir. \u00d6zellikle, b\u00fcy\u00fck \u00f6rneklem ko\u015fulunun kar\u015f\u0131land\u0131\u011f\u0131ndan emin [&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-1032","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>B\u00fcy\u00fck bir numunenin durumu: tan\u0131m ve \u00f6rnek - Statoryaller<\/title>\n<meta name=\"description\" content=\"Bir tan\u0131m ve \u00f6rnek de dahil olmak \u00fczere, b\u00fcy\u00fck numune gereksiniminin basit bir a\u00e7\u0131klamas\u0131.\" \/>\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\/tr\/buyuk-ornek-durumu\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"B\u00fcy\u00fck bir numunenin durumu: tan\u0131m ve \u00f6rnek - Statoryaller\" \/>\n<meta property=\"og:description\" content=\"Bir tan\u0131m ve \u00f6rnek de dahil olmak \u00fczere, b\u00fcy\u00fck numune gereksiniminin basit bir a\u00e7\u0131klamas\u0131.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/buyuk-ornek-durumu\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T22:09:47+00:00\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/buyuk-ornek-durumu\/\",\"url\":\"https:\/\/statorials.org\/tr\/buyuk-ornek-durumu\/\",\"name\":\"B\u00fcy\u00fck bir numunenin durumu: tan\u0131m ve \u00f6rnek - Statoryaller\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-27T22:09:47+00:00\",\"dateModified\":\"2023-07-27T22:09:47+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bir tan\u0131m ve \u00f6rnek de dahil olmak \u00fczere, b\u00fcy\u00fck numune gereksiniminin basit bir a\u00e7\u0131klamas\u0131.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/buyuk-ornek-durumu\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/buyuk-ornek-durumu\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/buyuk-ornek-durumu\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"B\u00fcy\u00fck bir numunenin durumu: tan\u0131m ve \u00f6rnek\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. 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