{"id":4909,"date":"2023-07-06T13:25:56","date_gmt":"2023-07-06T13:25:56","guid":{"rendered":"https:\/\/statorials.org\/id\/contoh-soal-tes-t\/"},"modified":"2023-07-06T13:25:56","modified_gmt":"2023-07-06T13:25:56","slug":"contoh-soal-tes-t","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/contoh-soal-tes-t\/","title":{"rendered":"Contoh uji t : 3 contoh soal"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Dalam statistik, <a href=\"https:\/\/statorials.org\/id\/uji-sampel-t\/\" target=\"_blank\" rel=\"noopener\">uji-t satu sampel<\/a> digunakan untuk menguji apakah rata-rata suatu <a href=\"https:\/\/statorials.org\/id\/populasi-vs.-sampel\/\" target=\"_blank\" rel=\"noopener\">populasi<\/a> sama dengan nilai tertentu atau tidak.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Contoh berikut menunjukkan cara melakukan ketiga jenis uji-t satu sampel:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Uji t satu sampel dua sisi<\/span><\/li>\n<li> <span style=\"color: #000000;\">Uji t satu sampel sisi kanan<\/span><\/li>\n<li> <span style=\"color: #000000;\">Uji-t satu sampel kiri<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ayo pergi!<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Contoh 1: Uji T satu sampel dua sisi<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Misalkan kita ingin mengetahui apakah berat rata-rata suatu spesies penyu tertentu sama dengan 310 pon atau tidak.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Untuk mengujinya, kami akan melakukan uji-t satu sampel pada tingkat signifikansi \u03b1 = 0,05 dengan menggunakan langkah-langkah berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 1: Kumpulkan data sampel.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Misalkan<\/span> <span style=\"color: #000000;\">kita mengumpulkan sampel penyu secara acak dengan informasi berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ukuran sampel n = 40<\/span><\/li>\n<li> <span style=\"color: #000000;\">Rata-rata berat sampel <span style=\"text-decoration: overline;\">x<\/span> = 300<\/span><\/li>\n<li> <span style=\"color: #000000;\">Simpangan baku sampel s = 18,5<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Langkah 2: Tentukan asumsi.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Kami akan melakukan uji-t satu sampel dengan hipotesis berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc = 310 (rata-rata jumlah penduduk sama dengan 310 buku)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> :<\/strong> \u03bc \u2260 310 (rata-rata populasi tidak sama dengan 310 pon)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Langkah 3: Hitung statistik uji- <em>t<\/em> .<\/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>Langkah 4: Hitung nilai p dari statistik uji <em>-t<\/em> .<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Menurut <a href=\"https:\/\/statorials.org\/id\/t-skor-kalkulator-nilai-p\/\" target=\"_blank\" rel=\"noopener\">kalkulator skor T ke Nilai P<\/a> , nilai p yang terkait dengan t = -3,4817 dan derajat kebebasan = n-1 = 40-1 = 39 adalah <strong>0,00149<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 5: Buatlah kesimpulan.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Karena nilai p ini berada di bawah tingkat signifikansi \u03b1 = 0,05, kami menolak hipotesis nol. Kami memiliki cukup bukti untuk mengatakan bahwa berat rata-rata spesies penyu ini tidak sama dengan 310 pon.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Contoh 2: Uji-T pada sampel berekor lurus<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Misalkan kita menduga bahwa nilai rata-rata ujian masuk perguruan tinggi tertentu lebih tinggi dari nilai rata-rata yang diterima yaitu 82.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Untuk mengujinya, kita akan melakukan uji-t satu sampel yang benar pada tingkat signifikansi \u03b1 = 0,05 dengan menggunakan langkah-langkah berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 1: Kumpulkan data sampel.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Misalkan<\/span> <span style=\"color: #000000;\">kita mengumpulkan sampel acak hasil ujian dengan informasi berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ukuran sampel n = 60<\/span><\/li>\n<li> <span style=\"color: #000000;\">Rata-rata sampel <span style=\"text-decoration: overline;\">x<\/span> = 84<\/span><\/li>\n<li> <span style=\"color: #000000;\">Standar deviasi sampel s = 8.1<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Langkah 2: Tentukan asumsi.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Kami akan melakukan uji-t satu sampel dengan hipotesis berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u00b5 \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>Langkah 3: Hitung statistik uji- <em>t<\/em> .<\/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>Langkah 4: Hitung nilai p dari statistik uji <em>-t<\/em> .<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Menurut <a href=\"https:\/\/statorials.org\/id\/t-skor-kalkulator-nilai-p\/\" target=\"_blank\" rel=\"noopener\">kalkulator skor-T untuk nilai-P<\/a> , nilai-p yang terkait dengan t = 1,9125 dan derajat kebebasan = n-1 = 60-1 = 59 adalah <strong>0,0303<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 5: Buatlah kesimpulan.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Karena nilai p ini berada di bawah tingkat signifikansi \u03b1 = 0,05, kami menolak hipotesis nol. Kami memiliki cukup bukti untuk mengatakan bahwa nilai rata-rata pada ujian khusus ini berada di atas 82.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Contoh 3: Uji T pada sampel di sebelah kiri<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Misalkan kita menduga bahwa tinggi rata-rata suatu spesies tanaman tertentu kurang dari tinggi rata-rata yang diterima yaitu 10 inci.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Untuk mengujinya, kami akan melakukan uji t sampel kiri pada tingkat signifikansi \u03b1 = 0,05 dengan menggunakan langkah-langkah berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 1: Kumpulkan data sampel.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Misalkan<\/span> <span style=\"color: #000000;\">kita mengumpulkan sampel tanaman secara acak dengan informasi berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ukuran sampel n = 25<\/span><\/li>\n<li> <span style=\"color: #000000;\">Rata-rata sampel <span style=\"text-decoration: overline;\">x<\/span> = 9,5<\/span><\/li>\n<li> <span style=\"color: #000000;\">Simpangan baku sampel s = 3,5<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Langkah 2: Tentukan asumsi.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Kami akan melakukan uji-t satu sampel dengan hipotesis berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u00b5 \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>Langkah 3: Hitung statistik uji- <em>t<\/em> .<\/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>Langkah 4: Hitung nilai p dari statistik uji <em>-t<\/em> .<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Menurut <a href=\"https:\/\/statorials.org\/id\/t-skor-kalkulator-nilai-p\/\" target=\"_blank\" rel=\"noopener\">kalkulator skor T ke Nilai P<\/a> , nilai p yang terkait dengan t = -0,7143 dan derajat kebebasan = n-1 = 25-1 = 24 adalah <strong>0,24097<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Langkah 5: Buatlah kesimpulan.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Karena nilai p ini tidak lebih rendah dari tingkat signifikansi \u03b1 = 0,05, kami gagal menolak hipotesis nol. Kami tidak memiliki cukup bukti untuk mengatakan bahwa tinggi rata-rata spesies tanaman ini kurang dari 10 inci.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Sumber daya tambahan<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Tutorial berikut memberikan informasi tambahan tentang pengujian hipotesis:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/id\/uji-sampel-t\/\" target=\"_blank\" rel=\"noopener\">Pengantar uji-t satu sampel<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/contoh-kalkulator-uji-t\/\" target=\"_blank\" rel=\"noopener\">Contoh kalkulator uji-t<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/contoh-uji-t-excel\/\" target=\"_blank\" rel=\"noopener\">Cara melakukan uji-t satu sampel di Excel<\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dalam statistik, uji-t satu sampel digunakan untuk menguji apakah rata-rata suatu populasi sama dengan nilai tertentu atau tidak. Contoh berikut menunjukkan cara melakukan ketiga jenis uji-t satu sampel: Uji t satu sampel dua sisi Uji t satu sampel sisi kanan Uji-t satu sampel kiri Ayo pergi! Contoh 1: Uji T satu sampel dua sisi Misalkan [&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":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Contoh Uji T: 3 Contoh Soal - Statologi<\/title>\n<meta name=\"description\" content=\"Tutorial ini memberikan beberapa contoh soal uji-t beserta solusinya.\" \/>\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\/id\/contoh-soal-tes-t\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Contoh Uji T: 3 Contoh Soal - Statologi\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini memberikan beberapa contoh soal uji-t beserta solusinya.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/contoh-soal-tes-t\/\" \/>\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=\"Benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/contoh-soal-tes-t\/\",\"url\":\"https:\/\/statorials.org\/id\/contoh-soal-tes-t\/\",\"name\":\"Contoh Uji T: 3 Contoh Soal - Statologi\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-06T13:25:56+00:00\",\"dateModified\":\"2023-07-06T13:25:56+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini memberikan beberapa contoh soal uji-t beserta solusinya.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/contoh-soal-tes-t\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/contoh-soal-tes-t\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/contoh-soal-tes-t\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Contoh uji t : 3 contoh soal\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/id\/#website\",\"url\":\"https:\/\/statorials.org\/id\/\",\"name\":\"Statorials\",\"description\":\"Panduan anda untuk kompetensi statistik!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/id\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"id\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\",\"name\":\"Benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"id\",\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/image\/\",\"url\":\"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin anderson\"},\"description\":\"Halo, saya Benjamin, pensiunan profesor statistika yang menjadi guru Statorial yang berdedikasi. 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