{"id":1709,"date":"2023-07-25T07:27:17","date_gmt":"2023-07-25T07:27:17","guid":{"rendered":"https:\/\/statorials.org\/tr\/merkezi-limit-teoremi-ti-84\/"},"modified":"2023-07-25T07:27:17","modified_gmt":"2023-07-25T07:27:17","slug":"merkezi-limit-teoremi-ti-84","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/merkezi-limit-teoremi-ti-84\/","title":{"rendered":"Ti-84 hesap makinesinde merkezi limit teoremi nas\u0131l uygulan\u0131r?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/merkezi-limit-teoremi\/\" target=\"_blank\" rel=\"noopener\">Merkezi limit teoremi,<\/a> pop\u00fclasyon da\u011f\u0131l\u0131m\u0131 normal olmasa bile, \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc yeterince b\u00fcy\u00fckse, bir \u00f6rneklem ortalamas\u0131n\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n yakla\u015f\u0131k olarak normal oldu\u011funu belirtir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Merkezi limit teoremi ayr\u0131ca \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n a\u015fa\u011f\u0131daki \u00f6zelliklere sahip olaca\u011f\u0131n\u0131 belirtir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> \u00d6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n ortalamas\u0131 n\u00fcfus da\u011f\u0131l\u0131m\u0131n\u0131n ortalamas\u0131na e\u015fit olacakt\u0131r:<\/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> \u00d6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n standart sapmas\u0131, pop\u00fclasyon standart sapmas\u0131n\u0131n \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcne b\u00f6l\u00fcnmesine e\u015fit olacakt\u0131r:<\/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;\">Bir TI-84 hesap makinesinde \u00f6rnek ortalamayla ilgili olas\u0131l\u0131klar\u0131 bulmak i\u00e7in <strong>normalcdf()<\/strong> i\u015flevini a\u015fa\u011f\u0131daki s\u00f6zdizimiyle kullanabiliriz:<\/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;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><span style=\"border-top: 1px solid black;\">x<\/span><\/strong> : \u00f6rnek ortalama<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s<\/strong> : numune standart sapmas\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n<\/strong> : \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu fonksiyona TI-84 hesap makinesinde eri\u015fmek i\u00e7in <span style=\"border: 1px solid black;\">2nd<\/span> tu\u015funa, ard\u0131ndan <span style=\"border: 1px solid black;\">VARS<\/span> tu\u015funa bas\u0131p <span style=\"border: 1px solid black;\">normalcdf&#8217;ye (<\/span> ve <span style=\"border: 1px solid black;\">ENTER<\/span> tu\u015funa basman\u0131z yeterlidir.<\/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;\">A\u015fa\u011f\u0131daki \u00f6rnekler bu fonksiyonun pratikte nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: \u0130ki de\u011fer aras\u0131ndaki olas\u0131l\u0131\u011f\u0131 bulun<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir da\u011f\u0131l\u0131m\u0131n ortalamas\u0131 70 ve standart sapmas\u0131 7&#8217;dir. E\u011fer n = 35 b\u00fcy\u00fckl\u00fc\u011f\u00fcnde rastgele bir \u00f6rneklem se\u00e7ersek, \u00f6rneklem ortalamas\u0131n\u0131n 68 ile 72 aras\u0131nda olma olas\u0131l\u0131\u011f\u0131n\u0131 bulun.<\/span><\/p>\n<p> <span style=\"color: #000000;\">TI-84&#8217;te a\u015fa\u011f\u0131daki s\u00f6zdizimini kullanabiliriz:<\/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=\"TI-84 hesap makinesinde merkezi limit teoreminin olas\u0131l\u0131\u011f\u0131 \u00f6rne\u011fi\" width=\"260\" height=\"225\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rneklem ortalamas\u0131n\u0131n 68 ile 72 aras\u0131nda olma olas\u0131l\u0131\u011f\u0131 <strong>0,909&#8217;dur<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Bir de\u011ferden daha b\u00fcy\u00fck bir olas\u0131l\u0131\u011f\u0131 bulma<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir da\u011f\u0131l\u0131m\u0131n ortalamas\u0131 50 ve standart sapmas\u0131 4&#8217;t\u00fcr. E\u011fer n = 30 boyutunda rastgele bir \u00f6rneklem se\u00e7ersek, \u00f6rneklem ortalamas\u0131n\u0131n 48&#8217;den b\u00fcy\u00fck olma olas\u0131l\u0131\u011f\u0131n\u0131 bulun.<\/span><\/p>\n<p> <span style=\"color: #000000;\">TI-84&#8217;te a\u015fa\u011f\u0131daki s\u00f6zdizimini kullanabiliriz:<\/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>Not:<\/strong> \u201cE\u201d sembol\u00fcne <span style=\"border: 1px solid black;\">2<\/span> tu\u015funa ve ard\u0131ndan <span style=\"border: 1px solid black;\">,<\/span> tu\u015funa basarak ula\u015fabilirsiniz.<\/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;\">\u00d6rneklem ortalamas\u0131n\u0131n 48&#8217;den b\u00fcy\u00fck olma olas\u0131l\u0131\u011f\u0131 <strong>0,9969&#8217;dur<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 3: Bir de\u011ferden daha d\u00fc\u015f\u00fck bir olas\u0131l\u0131\u011f\u0131 bulma<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir da\u011f\u0131l\u0131m\u0131n ortalamas\u0131 20 ve standart sapmas\u0131 3&#8217;t\u00fcr. E\u011fer n = 40 boyutunda rastgele bir \u00f6rneklem se\u00e7ersek, \u00f6rneklem ortalamas\u0131n\u0131n 19&#8217;dan k\u00fc\u00e7\u00fck olma olas\u0131l\u0131\u011f\u0131n\u0131 bulun.<\/span><\/p>\n<p> <span style=\"color: #000000;\">TI-84&#8217;te a\u015fa\u011f\u0131daki s\u00f6zdizimini kullanabiliriz:<\/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;\">\u00d6rneklem ortalamas\u0131n\u0131n 19&#8217;dan k\u00fc\u00e7\u00fck olma olas\u0131l\u0131\u011f\u0131 <strong>0,0175&#8217;tir<\/strong> .<\/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\">Merkezi Limit Teoremine Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/merkezi-limit-teoremi-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">Merkezi Limit Teoremi Hesaplay\u0131c\u0131<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/merkezi-limit-teoremi-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de Merkezi Limit Teoremi Nas\u0131l Uygulan\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/kosullar-merkezi-limit-teoremi\/\" target=\"_blank\" rel=\"noopener\">Merkezi limit teoremi: yerine getirilmesi gereken d\u00f6rt ko\u015ful<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Merkezi limit teoremi, pop\u00fclasyon da\u011f\u0131l\u0131m\u0131 normal olmasa bile, \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc yeterince b\u00fcy\u00fckse, bir \u00f6rneklem ortalamas\u0131n\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n yakla\u015f\u0131k olarak normal oldu\u011funu belirtir. Merkezi limit teoremi ayr\u0131ca \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n a\u015fa\u011f\u0131daki \u00f6zelliklere sahip olaca\u011f\u0131n\u0131 belirtir: 1. \u00d6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n ortalamas\u0131 n\u00fcfus da\u011f\u0131l\u0131m\u0131n\u0131n ortalamas\u0131na e\u015fit olacakt\u0131r: x = \u00b5 2. \u00d6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n standart sapmas\u0131, pop\u00fclasyon standart sapmas\u0131n\u0131n \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcne [&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-1709","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>TI-84 Hesap Makinesinde 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