{"id":4911,"date":"2023-07-06T13:25:56","date_gmt":"2023-07-06T13:25:56","guid":{"rendered":"https:\/\/statorials.org\/tr\/ornek-t-testi-ornek-problemler\/"},"modified":"2023-07-06T13:25:56","modified_gmt":"2023-07-06T13:25:56","slug":"ornek-t-testi-ornek-problemler","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/ornek-t-testi-ornek-problemler\/","title":{"rendered":"Bir t testi \u00f6rne\u011fi: 3 \u00f6rnek problem"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistiklerde, bir <a href=\"https:\/\/statorials.org\/tr\/populasyon-ve-ornek\/\" target=\"_blank\" rel=\"noopener\">pop\u00fclasyonun<\/a> ortalamas\u0131n\u0131n belirli bir de\u011fere e\u015fit olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/ornek-t-testi\/\" target=\"_blank\" rel=\"noopener\">tek \u00f6rnekli t testi<\/a> kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler, \u00fc\u00e7 t\u00fcr tek \u00f6rnekli t testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u0130ki kuyruklu tek \u00f6rnek t testi<\/span><\/li>\n<li> <span style=\"color: #000000;\">Sa\u011f kuyruklu tek \u00f6rnek t testi<\/span><\/li>\n<li> <span style=\"color: #000000;\">Sol tek \u00f6rnekli t testi<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Hadi gidelim!<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: \u0130ki kuyruklu tek \u00f6rnekli T testi<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Belirli bir kaplumba\u011fa t\u00fcr\u00fcn\u00fcn ortalama a\u011f\u0131rl\u0131\u011f\u0131n\u0131n 310 pound olup olmad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu test etmek i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullanarak \u03b1 = 0,05 anlaml\u0131l\u0131k d\u00fczeyinde tek \u00f6rnekli bir t testi ger\u00e7ekle\u015ftirece\u011fiz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: \u00d6rnek verileri toplay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki bilgileri i\u00e7eren rastgele bir kaplumba\u011fa \u00f6rne\u011fi toplad\u0131\u011f\u0131m\u0131z\u0131<\/span> <span style=\"color: #000000;\">varsayal\u0131m<\/span> :<\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc n = 40<\/span><\/li>\n<li> <span style=\"color: #000000;\">Ortalama numune a\u011f\u0131rl\u0131\u011f\u0131 <span style=\"text-decoration: overline;\">x<\/span> = 300<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00d6rneklem standart sapmas\u0131 s = 18,5<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Varsay\u0131mlar\u0131 tan\u0131mlay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Tek \u00f6rnek t-testini a\u015fa\u011f\u0131daki hipotezlerle ger\u00e7ekle\u015ftirece\u011fiz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc = 310 (N\u00fcfus ortalamas\u0131 310 kitaba e\u015fittir)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> :<\/strong> \u03bc \u2260 310 (n\u00fcfus ortalamas\u0131 310 pound&#8217;a e\u015fit de\u011fildir)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: <em>t<\/em> -testi istatisti\u011fini hesaplay\u0131n.<\/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>Ad\u0131m 4: <em>t-<\/em> testi istatisti\u011finin p-de\u011ferini hesaplay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/t-puani-p-degeri-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">P De\u011feri hesaplay\u0131c\u0131s\u0131na g\u00f6re T puan\u0131<\/a> , t = -3,4817 ve serbestlik derecesi = n-1 = 40-1 = 39 ile ili\u015fkili p de\u011feri <strong>0,00149&#8217;dur<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 5: Bir sonu\u00e7 \u00e7\u0131kar\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu p de\u011feri bizim anlaml\u0131l\u0131k seviyemiz olan \u03b1 = 0,05&#8217;in alt\u0131nda oldu\u011fundan s\u0131f\u0131r hipotezini reddediyoruz. Bu kaplumba\u011fa t\u00fcr\u00fcn\u00fcn ortalama a\u011f\u0131rl\u0131\u011f\u0131n\u0131n 310 pounda e\u015fit olmad\u0131\u011f\u0131n\u0131 s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z var.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: D\u00fcz kuyruklu bir \u00f6rnek \u00fczerinde T testi<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Belirli bir \u00fcniversiteye giri\u015f s\u0131nav\u0131n\u0131n ortalama puan\u0131n\u0131n kabul edilen ortalama puan olan 82&#8217;den y\u00fcksek oldu\u011fundan \u015f\u00fcphelendi\u011fimizi varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu test etmek i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullanarak \u03b1 = 0,05 anlaml\u0131l\u0131k d\u00fczeyinde do\u011fru tek \u00f6rnekli t testi ger\u00e7ekle\u015ftirece\u011fiz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: \u00d6rnek verileri toplay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki bilgileri i\u00e7eren rastgele bir s\u0131nav sonu\u00e7lar\u0131 \u00f6rne\u011fi toplad\u0131\u011f\u0131m\u0131z\u0131<\/span> <span style=\"color: #000000;\">varsayal\u0131m<\/span> :<\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc n = 60<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00d6rnek ortalama <span style=\"text-decoration: overline;\">x<\/span> = 84<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00d6rneklem standart sapmas\u0131 s = 8,1<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Varsay\u0131mlar\u0131 tan\u0131mlay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Tek \u00f6rnek t-testini a\u015fa\u011f\u0131daki hipotezlerle ger\u00e7ekle\u015ftirece\u011fiz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> u \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>Ad\u0131m 3: <em>t<\/em> -testi istatisti\u011fini hesaplay\u0131n.<\/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>Ad\u0131m 4: <em>t-<\/em> testi istatisti\u011finin p-de\u011ferini hesaplay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/t-puani-p-degeri-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">P de\u011feri i\u00e7in T puan\u0131 hesaplay\u0131c\u0131s\u0131na<\/a> g\u00f6re, t = 1,9125 ve serbestlik derecesi = n-1 = 60-1 = 59 ile ili\u015fkili p de\u011feri <strong>0,0303&#8217;t\u00fcr<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 5: Bir sonu\u00e7 \u00e7\u0131kar\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu p de\u011feri bizim anlaml\u0131l\u0131k seviyemiz olan \u03b1 = 0,05&#8217;in alt\u0131nda oldu\u011fundan s\u0131f\u0131r hipotezini reddediyoruz. Bu s\u0131navdaki ortalama puan\u0131n 82&#8217;nin \u00fczerinde oldu\u011funu s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z var.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek 3: Soldaki \u00f6rnekte T testi<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Belirli bir bitki t\u00fcr\u00fcn\u00fcn ortalama y\u00fcksekli\u011finin, kabul edilen ortalama y\u00fckseklik olan 10 in\u00e7ten daha az oldu\u011fundan \u015f\u00fcphelendi\u011fimizi varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu test etmek i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullanarak \u03b1 = 0,05 anlaml\u0131l\u0131k d\u00fczeyinde bir sol \u00f6rnek t testi ger\u00e7ekle\u015ftirece\u011fiz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: \u00d6rnek verileri toplay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki bilgileri i\u00e7eren rastgele bir bitki \u00f6rne\u011fi toplad\u0131\u011f\u0131m\u0131z\u0131<\/span> <span style=\"color: #000000;\">varsayal\u0131m<\/span> :<\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc n = 25<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00d6rnek ortalama <span style=\"text-decoration: overline;\">x<\/span> = 9,5<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00d6rneklem standart sapmas\u0131 s = 3,5<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Varsay\u0131mlar\u0131 tan\u0131mlay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Tek \u00f6rnek t-testini a\u015fa\u011f\u0131daki hipotezlerle ger\u00e7ekle\u015ftirece\u011fiz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> u \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>Ad\u0131m 3: <em>t<\/em> -testi istatisti\u011fini hesaplay\u0131n.<\/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>Ad\u0131m 4: <em>t-<\/em> testi istatisti\u011finin p-de\u011ferini hesaplay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/t-puani-p-degeri-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">P De\u011feri hesaplay\u0131c\u0131s\u0131na g\u00f6re T puan\u0131<\/a> , t = -0,7143 ve serbestlik derecesi = n-1 = 25-1 = 24 ile ili\u015fkili p de\u011feri <strong>0,24097&#8217;dir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 5: Bir sonu\u00e7 \u00e7\u0131kar\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu p de\u011feri bizim anlaml\u0131l\u0131k d\u00fczeyimiz olan \u03b1 = 0,05&#8217;ten d\u00fc\u015f\u00fck olmad\u0131\u011f\u0131 i\u00e7in s\u0131f\u0131r hipotezini reddedemiyoruz. Bu \u00f6zel bitki t\u00fcr\u00fcn\u00fcn ortalama boyunun 10 in\u00e7ten az oldu\u011funu s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z yok.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimler hipotez testi hakk\u0131nda ek bilgi sa\u011flar:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/ornek-t-testi\/\" target=\"_blank\" rel=\"noopener\">Tek \u00f6rnekli t testine giri\u015f<\/a><br \/><a href=\"https:\/\/statorials.org\/tr\/ornek-bir-t-testi-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">Bir t-testi hesap makinesi \u00f6rne\u011fi<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/ornek-bir-t-testi-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de tek \u00f6rnek t testi nas\u0131l yap\u0131l\u0131r<\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistiklerde, bir pop\u00fclasyonun ortalamas\u0131n\u0131n belirli bir de\u011fere e\u015fit olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in tek \u00f6rnekli t testi kullan\u0131l\u0131r. A\u015fa\u011f\u0131daki \u00f6rnekler, \u00fc\u00e7 t\u00fcr tek \u00f6rnekli t testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir: \u0130ki kuyruklu tek \u00f6rnek t testi Sa\u011f kuyruklu tek \u00f6rnek t testi Sol tek \u00f6rnekli t testi Hadi gidelim! \u00d6rnek 1: \u0130ki kuyruklu tek \u00f6rnekli T [&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-4911","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>\u00d6rnek Bir T Testi: 3 \u00d6rnek Problem - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, \u00e7\u00f6z\u00fcmleri ile birlikte birka\u00e7 \u00f6rnek t-testi problemi sunulmaktad\u0131r.\" \/>\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\/ornek-t-testi-ornek-problemler\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u00d6rnek Bir T Testi: 3 \u00d6rnek Problem - Statorials\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde, \u00e7\u00f6z\u00fcmleri ile birlikte birka\u00e7 \u00f6rnek t-testi problemi sunulmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/ornek-t-testi-ornek-problemler\/\" \/>\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.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=\"4 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/ornek-t-testi-ornek-problemler\/\",\"url\":\"https:\/\/statorials.org\/tr\/ornek-t-testi-ornek-problemler\/\",\"name\":\"\u00d6rnek Bir T Testi: 3 \u00d6rnek Problem - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-06T13:25:56+00:00\",\"dateModified\":\"2023-07-06T13:25:56+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde, \u00e7\u00f6z\u00fcmleri ile birlikte birka\u00e7 \u00f6rnek t-testi problemi sunulmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/ornek-t-testi-ornek-problemler\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/ornek-t-testi-ornek-problemler\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/ornek-t-testi-ornek-problemler\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Bir t testi \u00f6rne\u011fi: 3 \u00f6rnek problem\"}]},{\"@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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