{"id":3297,"date":"2023-07-18T05:32:14","date_gmt":"2023-07-18T05:32:14","guid":{"rendered":"https:\/\/statorials.org\/id\/za-menguji-dua-sampel\/"},"modified":"2023-07-18T05:32:14","modified_gmt":"2023-07-18T05:32:14","slug":"za-menguji-dua-sampel","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/za-menguji-dua-sampel\/","title":{"rendered":"Dua contoh uji z: definisi, rumus dan contoh"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Uji z dua sampel<\/strong> digunakan untuk menguji apakah rata-rata dua populasi sama.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Pengujian ini mengasumsikan bahwa standar deviasi setiap populasi diketahui.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tutorial ini menjelaskan hal berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Rumus untuk melakukan uji z dua sampel.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Asumsi uji z dua sampel.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Contoh cara melakukan uji z dua sampel.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ayo pergi!<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Dua sampel uji Z: rumus<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Uji z dua sampel menggunakan hipotesis nol dan hipotesis alternatif berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc <sub>1<\/sub> = \u03bc <sub>2<\/sub> (rata-rata kedua populasi adalah sama)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong> \u03bc <sub>1<\/sub> \u2260 \u03bc <sub>2<\/sub> (rata-rata dua populasi tidak sama)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Kami menggunakan rumus berikut untuk menghitung statistik uji-z:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>z = (<\/strong> <strong><span style=\"text-decoration: overline;\">X<\/span> <sub>1<\/sub> \u2013 <span style=\"text-decoration: overline;\">X<\/span> <sub>2<\/sub> ) \/ \u221a <span style=\"border-top: 1px solid black;\">\u03c3 <sub>1<\/sub> <sup>2<\/sup> \/n <sub>1<\/sub> + \u03c3 <sub>2<\/sub> <sup>2<\/sup> \/n <sub>2<\/sub> )<\/span><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span> <sub>1<\/sub> , <span style=\"text-decoration: overline;\">x<\/span> <sub>2<\/sub> :<\/strong> mean sampel<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03c3 <sub>1<\/sub> , \u03c3 <sub>2<\/sub> :<\/strong> simpangan baku populasi<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n <sub>1<\/sub> , n <sub>2<\/sub> :<\/strong> ukuran sampel<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Jika nilai p yang sesuai dengan statistik uji z lebih kecil dari tingkat signifikansi yang Anda pilih (pilihan umum adalah 0,10, 0,05, dan 0,01), maka Anda dapat <a href=\"https:\/\/statorials.org\/id\/kapan-harus-menolak-hipotesis-nol\/\" target=\"_blank\" rel=\"noopener\">menolak hipotesis nol<\/a> .<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Dua contoh uji Z: asumsi<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Agar hasil uji z dua sampel valid, asumsi berikut harus dipenuhi:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Data untuk setiap populasi bersifat kontinyu (dan tidak terpisah).<\/span><\/li>\n<li> <span style=\"color: #000000;\">Setiap sampel merupakan <a href=\"https:\/\/statorials.org\/id\/metode-pengambilan-sampel\/\" target=\"_blank\" rel=\"noopener\">sampel acak sederhana<\/a> dari populasi yang diteliti.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Data untuk setiap populasi <a href=\"https:\/\/statorials.org\/id\/hipotesis-normalitas\/\" target=\"_blank\" rel=\"noopener\">berdistribusi normal<\/a> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Deviasi standar populasi diketahui.<\/span><\/li>\n<\/ul>\n<h2> <span style=\"color: #000000;\"><strong>Uji Z dua sampel<\/strong> <strong>: contoh<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Asumsikan tingkat IQ individu dari dua kota berbeda berdistribusi normal, masing-masing dengan standar deviasi populasi 15.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Seorang ilmuwan ingin mengetahui apakah rata-rata tingkat IQ individu di kota A dan kota B berbeda. Jadi dia memilih sampel acak sederhana yang terdiri dari 20 orang dari setiap kota dan mencatat tingkat IQ mereka.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Untuk mengujinya, ia akan melakukan uji z dua 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 dia mengumpulkan dua sampel acak sederhana dengan informasi berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span><\/strong> <sub>1<\/sub> (rata-rata IQ sampel 1) = 100,65<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n <sub>1<\/sub><\/strong> (ukuran sampel 1) = 20<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span><\/strong> <sub>2<\/sub> (rata-rata IQ sampel 2) = 108,8<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n <sub>2<\/sub><\/strong> (ukuran sampel 2) = 20<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Langkah 2: Tentukan asumsi.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Dia akan melakukan dua contoh uji z dengan asumsi berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc <sub>1<\/sub> = \u03bc <sub>2<\/sub> (rata-rata kedua populasi adalah sama)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong> \u03bc <sub>1<\/sub> \u2260 \u03bc <sub>2<\/sub> (rata-rata dua populasi tidak sama)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Langkah 3: Hitung statistik uji-z.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Statistik uji z dihitung sebagai berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">z = ( <span style=\"text-decoration: overline;\">X<\/span> <sub>1<\/sub> \u2013 <span style=\"text-decoration: overline;\">X<\/span> <sub>2<\/sub> ) \/ \u221a <span style=\"border-top: 1px solid black;\">\u03c3 <sub>1<\/sub> <sup>2<\/sup> \/n <sub>1<\/sub> + \u03c3 <sub>2<\/sub> <sup>2<\/sup> \/n <sub>2<\/sub> )<\/span><\/span><\/li>\n<li> <span style=\"color: #000000;\">z = (100,65-108,8) \/ \u221a <span style=\"border-top: 1px solid black;\">15 <sup>2<\/sup> \/20 + 15 <sup>2<\/sup> \/20)<\/span><\/span><\/li>\n<li> <span style=\"color: #000000;\">z = -1,718<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Langkah 4: Hitung nilai p dari statistik uji-z.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Menurut kalkulator skor Z ke Nilai P, nilai p dua sisi yang terkait dengan z = -1,718 adalah <strong>0,0858<\/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 (0,0858) tidak kurang dari tingkat signifikansi (0,05), ilmuwan akan gagal menolak hipotesis nol.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tidak ada cukup bukti yang mengatakan bahwa tingkat IQ rata-rata berbeda antara kedua populasi.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Catatan:<\/strong> Anda juga dapat melakukan pengujian Z dua sampel secara keseluruhan menggunakan Kalkulator Uji Z Dua Sampel.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Sumber daya tambahan<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Tutorial berikut menjelaskan cara melakukan uji z dua sampel menggunakan perangkat lunak statistik yang berbeda:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/id\/tes-z-di-excel\/\" target=\"_blank\" rel=\"noopener\">Bagaimana Melakukan Tes Z di Excel<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/z-tes-di-r\/\" target=\"_blank\" rel=\"noopener\">Cara melakukan tes Z di R<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/z-uji-python\/\" target=\"_blank\" rel=\"noopener\">Cara Melakukan Tes Z dengan Python<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Uji z dua sampel digunakan untuk menguji apakah rata-rata dua populasi sama. Pengujian ini mengasumsikan bahwa standar deviasi setiap populasi diketahui. Tutorial ini menjelaskan hal berikut: Rumus untuk melakukan uji z dua sampel. Asumsi uji z dua sampel. Contoh cara melakukan uji z dua sampel. Ayo pergi! Dua sampel uji Z: rumus Uji z dua [&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>Uji Z dua sampel: definisi, rumus dan contoh \u2013 Statorial<\/title>\n<meta name=\"description\" content=\"Tutorial ini memberikan pengenalan kedua contoh uji z, termasuk definisi, rumus, dan contoh.\" \/>\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\/za-menguji-dua-sampel\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Uji Z dua sampel: definisi, rumus dan contoh \u2013 Statorial\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini memberikan pengenalan kedua contoh uji z, termasuk definisi, rumus, dan contoh.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/za-menguji-dua-sampel\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-18T05:32:14+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=\"2 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/za-menguji-dua-sampel\/\",\"url\":\"https:\/\/statorials.org\/id\/za-menguji-dua-sampel\/\",\"name\":\"Uji Z dua sampel: definisi, rumus dan contoh \u2013 Statorial\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-18T05:32:14+00:00\",\"dateModified\":\"2023-07-18T05:32:14+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini memberikan pengenalan kedua contoh uji z, termasuk definisi, rumus, dan contoh.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/za-menguji-dua-sampel\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/za-menguji-dua-sampel\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/za-menguji-dua-sampel\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Dua contoh uji z: definisi, rumus dan contoh\"}]},{\"@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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