{"id":285,"date":"2023-08-03T02:21:11","date_gmt":"2023-08-03T02:21:11","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e6%a8%99%e6%9c%ac%e5%88%86%e5%b8%83-1\/"},"modified":"2023-08-03T02:21:11","modified_gmt":"2023-08-03T02:21:11","slug":"%e6%a8%99%e6%9c%ac%e5%88%86%e5%b8%83-1","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e6%a8%99%e6%9c%ac%e5%88%86%e5%b8%83-1\/","title":{"rendered":"\u6a19\u672c\u5206\u5e03"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u7d71\u8a08\u306b\u304a\u3051\u308b\u6a19\u672c\u5206\u5e03\u3068\u306f\u4f55\u304b\u3001\u307e\u305f\u305d\u308c\u304c\u4f55\u306b\u4f7f\u7528\u3055\u308c\u308b\u306e\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3053\u3053\u3067\u306f\u3001\u6a19\u672c\u5206\u5e03\u306e\u610f\u5473\u3001\u6a19\u672c\u5206\u5e03\u306e\u5177\u4f53\u4f8b\u3001\u3055\u3089\u306b\u6700\u3082\u4e00\u822c\u7684\u306a\u30bf\u30a4\u30d7\u306e\u6a19\u672c\u5206\u5e03\u306e\u5f0f\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-muestral\"><\/span>\u6a19\u672c\u5206\u5e03\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u6a19\u672c\u5206\u5e03<\/strong>\u3001\u307e\u305f\u306f<strong>\u6a19\u672c\u5206\u5e03 \u306f<\/strong>\u3001\u6bcd\u96c6\u56e3\u304b\u3089\u8003\u3048\u3089\u308c\u308b\u3059\u3079\u3066\u306e\u6a19\u672c\u3092\u8003\u616e\u3057\u305f\u7d50\u679c\u3068\u3057\u3066\u5f97\u3089\u308c\u308b\u5206\u5e03\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u6a19\u672c\u5206\u5e03\u306f\u3001\u6bcd\u96c6\u56e3\u304b\u3089\u8003\u3048\u3089\u308c\u308b\u3059\u3079\u3066\u306e\u6a19\u672c\u306e\u6a19\u672c\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u8a08\u7b97\u3057\u3066\u5f97\u3089\u308c\u308b\u5206\u5e03\u3067\u3059\u3002<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u7d71\u8a08\u6bcd\u96c6\u56e3\u304b\u3089\u8003\u3048\u3089\u308c\u308b\u3059\u3079\u3066\u306e\u30b5\u30f3\u30d7\u30eb\u3092\u62bd\u51fa\u3057\u3001\u5404\u30b5\u30f3\u30d7\u30eb\u306e\u5e73\u5747\u3092\u8a08\u7b97\u3059\u308b\u3068\u3001\u30b5\u30f3\u30d7\u30eb\u5e73\u5747\u306e\u30bb\u30c3\u30c8\u304c\u6a19\u672c\u5206\u5e03\u3092\u5f62\u6210\u3057\u307e\u3059\u3002\u3088\u308a\u6b63\u78ba\u306b\u306f\u3001\u8a08\u7b97\u3055\u308c\u305f\u30d1\u30e9\u30e1\u30fc\u30bf\u306f\u7b97\u8853\u5e73\u5747\u3067\u3042\u308b\u305f\u3081\u3001\u5e73\u5747\u5024\u306e\u6a19\u672c\u5206\u5e03\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u7d71\u8a08\u5b66\u3067\u306f\u3001\u6a19\u672c\u5206\u5e03\u306f\u3001\u5358\u4e00\u306e\u6a19\u672c\u3092\u8abf\u67fb\u3059\u308b\u3068\u304d\u306b\u6bcd\u96c6\u56e3\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u5024\u306b\u8fd1\u3065\u304f\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u540c\u69d8\u306b\u3001\u6a19\u672c\u5206\u5e03\u306b\u3088\u308a\u3001\u7279\u5b9a\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306e\u6a19\u672c\u8aa4\u5dee\u3092\u63a8\u5b9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-distribucion-muestral\"><\/span>\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u5206\u5e03\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6a19\u672c\u5206\u5e03\u306e\u5b9a\u7fa9\u304c\u308f\u304b\u3063\u305f\u306e\u3067\u3001\u6982\u5ff5\u3092\u5b8c\u5168\u306b\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u7c21\u5358\u306a\u4f8b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<ul>\n<li>\u7bb1\u306e\u4e2d\u306b 3 \u3064\u306e\u30dc\u30fc\u30eb\u3092\u7f6e\u304d\u3001\u305d\u308c\u305e\u308c\u306b 1 \u304b\u3089 3 \u307e\u3067\u306e\u756a\u53f7\u304c\u66f8\u304b\u308c\u3066\u3044\u307e\u3059\u3002\u3064\u307e\u308a\u30011 \u3064\u306e\u30dc\u30fc\u30eb\u306b\u306f 1\u3001\u3082\u3046 1 \u3064\u306e\u30dc\u30fc\u30eb\u306b\u306f 2\u3001\u6700\u5f8c\u306e\u30dc\u30fc\u30eb\u306b\u306f 3 \u304c\u4ed8\u3051\u3089\u308c\u307e\u3059\u3002\u30b5\u30a4\u30ba n = \u306e\u30b5\u30f3\u30d7\u30eb\u306e\u5834\u5408\u3001 2\u3001\u7f6e\u63db\u3092\u542b\u3080\u30b5\u30f3\u30d7\u30eb\u304c\u9078\u629e\u3055\u308c\u305f\u5834\u5408\u306e\u5e73\u5747\u306e\u30b5\u30f3\u30d7\u30eb\u5206\u5e03\u306e\u78ba\u7387\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/li>\n<\/ul>\n<p>\u30b5\u30f3\u30d7\u30eb\u306f\u7f6e\u63db\u306b\u3088\u3063\u3066\u9078\u629e\u3055\u308c\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u30b5\u30f3\u30d7\u30eb\u306e\u6700\u521d\u306e\u8981\u7d20\u3092\u9078\u629e\u3059\u308b\u305f\u3081\u306b\u62fe\u3063\u305f\u30dc\u30fc\u30eb\u306f\u30dc\u30c3\u30af\u30b9\u306b\u623b\u3055\u308c\u30012 \u56de\u76ee\u306e\u62bd\u51fa\u4e2d\u306b\u518d\u5ea6\u9078\u629e\u3067\u304d\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6bcd\u96c6\u56e3\u304b\u3089\u62bd\u51fa\u3067\u304d\u308b\u3059\u3079\u3066\u306e\u30b5\u30f3\u30d7\u30eb\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p class=\"has-text-align-center\"> 1.1 1.2 1.3<br \/> 2.1 2.2 2.3<br \/> 3.1 3.2 3.3<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u8003\u3048\u3089\u308c\u308b\u5404\u30b5\u30f3\u30d7\u30eb\u306e\u7b97\u8853\u5e73\u5747\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-36b3a1e0bbb1be6eddc1a5d9899c5643_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(1,1) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\overline{x}_{11}=\\cfrac{1+1}{2}=1\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"295\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ff446066e6102f75d2d5435ad9dc46d2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(1,2) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\overline{x}_{12}=\\cfrac{1+2}{2}=1,5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"311\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-904c1ee161fd7214c2c20ef15a038ea2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(1,3) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\overline{x}_{13}=\\cfrac{1+3}{2}=2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"295\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-4669b3b3d3ca07f035456cc50110134f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(2,1) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\overline{x}_{21}=\\cfrac{2+1}{2}=1,5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"311\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-9fae1b39671fce31802b9ff66c8c1b9e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(2,2) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\overline{x}_{22}=\\cfrac{2+2}{2}=2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"295\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fb036db8580a0d7389daddf6a938c541_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(2,3) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\overline{x}_{23}=\\cfrac{2+3}{2}=2,5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"311\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7b77da5430a43732726cc62fb0fffe78_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(3,1) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\overline{x}_{31}=\\cfrac{3+1}{2}=2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"295\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5edbfa4f2b8752676ceba5ad0cd34d6d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(3,2) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\overline{x}_{32}=\\cfrac{3+2}{2}=2,5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"311\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-bb60dfff5e3c5c090e019253ee84b198_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(3,3) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\overline{x}_{33}=\\cfrac{3+3}{2}=3\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"296\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u6bcd\u96c6\u56e3\u304b\u3089\u7121\u4f5c\u70ba\u306b\u30b5\u30f3\u30d7\u30eb\u3092\u9078\u629e\u3057\u305f\u5834\u5408\u306b\u3001\u30b5\u30f3\u30d7\u30eb\u5e73\u5747\u306e\u5404\u5024\u304c\u5f97\u3089\u308c\u308b\u78ba\u7387\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/table-de-distribution-dechantillonnage.png\" alt=\"\u30b5\u30f3\u30d7\u30eb\u5206\u5e03\u8868\u306e\u4f8b\" class=\"wp-image-6145\" width=\"166\" height=\"195\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u4e0a\u306e\u8868\u306b\u793a\u3055\u308c\u3066\u3044\u308b\u30b5\u30f3\u30d7\u30eb\u5206\u5e03\u306e\u78ba\u7387\u306f\u3001\u4e0a\u8a18\u306e\u5e73\u5747\u5024\u3092\u6301\u3064\u30b5\u30f3\u30d7\u30eb\u306e\u6570\u3092\u53ef\u80fd\u306a\u30b1\u30fc\u30b9\u306e\u7dcf\u6570\u3067\u5272\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u8a08\u7b97\u3055\u308c\u307e\u3057\u305f\u3002\u305f\u3068\u3048\u3070\u3001\u30b5\u30f3\u30d7\u30eb\u5e73\u5747\u306f 9 \u3064\u306e\u30b1\u30fc\u30b9\u306e\u3046\u3061 2 \u3064\u306e\u30b1\u30fc\u30b9\u3067 1.5 \u3067\u3042\u308b\u305f\u3081\u3001P(1.5)=2\/9 \u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tipos-de-distribuciones-muestrales\"><\/span>\u6a19\u672c\u5206\u5e03\u306e\u7a2e\u985e<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6a19\u672c\u5206\u5e03 (\u307e\u305f\u306f\u6a19\u672c\u5206\u5e03) \u306f\u3001\u305d\u308c\u3092\u53d6\u5f97\u3057\u305f\u6a19\u672c\u30d1\u30e9\u30e1\u30fc\u30bf\u306b\u57fa\u3065\u3044\u3066\u5206\u985e\u3067\u304d\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6700\u3082\u4e00\u822c\u7684\u306a\u30c7\u30a3\u30b9\u30c8\u30ea\u30d3\u30e5\u30fc\u30b7\u30e7\u30f3\u306e\u7a2e\u985e\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u5e73\u5747\u306e\u6a19\u672c\u5206\u5e03<\/strong>: \u3053\u308c\u306f\u3001\u5404\u30b5\u30f3\u30d7\u30eb\u306e\u7b97\u8853\u5e73\u5747\u3092\u8a08\u7b97\u3057\u305f\u7d50\u679c\u5f97\u3089\u308c\u308b\u6a19\u672c\u5206\u5e03\u3067\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u5272\u5408\u6a19\u672c\u5206\u5e03<\/strong>\uff1a\u5168\u30b5\u30f3\u30d7\u30eb\u306e\u5272\u5408\u3092\u8a08\u7b97\u3057\u3066\u5f97\u3089\u308c\u308b\u6a19\u672c\u5206\u5e03\u3067\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u5206\u6563\u306e\u6a19\u672c\u5206\u5e03<\/strong>: \u3053\u308c\u306f\u3001\u6a19\u672c\u5185\u306e\u3059\u3079\u3066\u306e\u5206\u6563\u306e\u30bb\u30c3\u30c8\u3092\u5f62\u6210\u3059\u308b\u6a19\u672c\u5206\u5e03\u3067\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u5e73\u5747\u5024\u306e\u5dee\u306e\u6a19\u672c\u5206\u5e03<\/strong>: 2 \u3064\u306e\u7570\u306a\u308b\u6bcd\u96c6\u56e3\u304b\u3089\u5f97\u3089\u308c\u308b\u3059\u3079\u3066\u306e\u6a19\u672c\u306e\u5e73\u5747\u5024\u306e\u5dee\u3092\u8a08\u7b97\u3057\u3066\u5f97\u3089\u308c\u308b\u6a19\u672c\u5206\u5e03\u3067\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u6bd4\u7387\u306e\u5dee \u6a19\u672c\u5206\u5e03<\/strong>: 2 \u3064\u306e\u6bcd\u96c6\u56e3\u304b\u3089\u8003\u3048\u3089\u308c\u308b\u3059\u3079\u3066\u306e\u6a19\u672c\u6bd4\u7387\u3092\u5dee\u3057\u5f15\u304f\u3053\u3068\u306b\u3088\u3063\u3066\u5f97\u3089\u308c\u308b\u6a19\u672c\u5206\u5e03\u3067\u3059\u3002<\/span><\/li>\n<\/ul>\n<p>\u305d\u308c\u305e\u308c\u306e\u30bf\u30a4\u30d7\u306e\u6a19\u672c\u5206\u5e03\u306b\u3064\u3044\u3066\u306f\u3001\u4ee5\u4e0b\u3067\u3055\u3089\u306b\u8a73\u3057\u304f\u8aac\u660e\u3057\u307e\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-muestral-de-la-media\"><\/span>\u5e73\u5747\u5024\u306e\u6a19\u672c\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5e73\u5747\u5024\u304c\u6b63\u898f\u78ba\u7387\u5206\u5e03\u306b\u5f93\u3046\u6bcd\u96c6\u56e3\u3092\u4eee\u5b9a\u3059\u308b\u3068\u3001<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u3068\u6a19\u6e96\u504f\u5dee<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-eaaf379fee5e67946f3fedf5631047b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u30b5\u30a4\u30ba\u30b5\u30f3\u30d7\u30eb\u304c\u62bd\u51fa\u3055\u308c\u307e\u3059<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306e\u5834\u5408\u3001\u5e73\u5747\u5024\u306e\u6a19\u672c\u5206\u5e03\u306f\u6b21\u306e\u7279\u6027\u3092\u6301\u3064\u6b63\u898f\u5206\u5e03\u306b\u3088\u3063\u3066\u5b9a\u7fa9\u3055\u308c\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-44571aa7337b095ab9c9fa1f746e93a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\mu_{\\overline{x}}=\\mu \\qquad \\sigma_{\\overline{x}}=\\cfrac{\\sigma}{\\sqrt{n}}\\\\[4ex]\\displaystyle N_{\\overline{x}}\\left(\\mu, \\frac{\\sigma}{\\sqrt{n}}\\right) \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"102\" width=\"159\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u91d1<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-8ed084decbdfb365889aae767cf63e81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_{\\overline{x}}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"20\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u306f\u5e73\u5747\u5024\u306e\u6a19\u672c\u5206\u5e03\u306e\u5e73\u5747\u5024\u3067\u3042\u308a\u3001<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-9067e28d896c7e5278763081c6cc40d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_{\\overline{x}}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"19\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u306f\u305d\u306e\u6a19\u6e96\u504f\u5dee\u3067\u3059\u3002\u3055\u3089\u306b\u3001<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7d78e2a2f2fae99a53eb087263cbb478_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{\\sigma}{\\sqrt{n}}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"26\" style=\"vertical-align: -16px;\"><\/p>\n<p>\u306f\u6a19\u672c\u5206\u5e03\u306e\u6a19\u6e96\u8aa4\u5dee\u3067\u3059\u3002<\/p>\n<p><strong>\u6ce8:<\/strong>\u6bcd\u96c6\u56e3\u304c\u6b63\u898f\u5206\u5e03\u306b\u5f93\u308f\u306a\u3044\u304c\u3001\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u304c\u5927\u304d\u3044 (n&gt;30) \u5834\u5408\u3001\u5e73\u5747\u5024\u306e\u6a19\u672c\u5206\u5e03\u306f\u4e2d\u5fc3\u5b9a\u7406\u306e\u5236\u9650\u306b\u3088\u3063\u3066\u4e0a\u8a18\u306e\u6b63\u898f\u5206\u5e03\u306b\u8fd1\u4f3c\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u5e73\u5747\u5024\u306e\u6a19\u672c\u5206\u5e03\u306f\u6b63\u898f\u5206\u5e03\u306b\u5f93\u3046\u305f\u3081\u3001<strong>\u6a19\u672c\u5e73\u5747\u5024\u306b\u95a2\u9023\u3059\u308b\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b<\/strong>\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ecd8bcb78b739c50d01b8bad563e5cb7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z=\\cfrac{\\overline{x}-\\mu}{\\displaystyle\\frac{\\sigma}{\\sqrt{n}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"58\" width=\"81\" style=\"vertical-align: -34px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\">\u91d1\uff1a <\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a39858a792fb4fe9a3173e004701f2a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u30b5\u30f3\u30d7\u30eb\u5e73\u5747\u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u3053\u308c\u306f\u6bcd\u96c6\u56e3\u306e\u5e73\u5747\u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1edc883862ceed1a21913f60358e31d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u6bcd\u96c6\u56e3\u306e\u6a19\u6e96\u504f\u5dee\u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0be116875001706f29a24434bd0d91c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u3001\u6a19\u6e96\u6b63\u898f\u5206\u5e03 N(0,1) \u306b\u3088\u3063\u3066\u5b9a\u7fa9\u3055\u308c\u308b\u5909\u6570\u3067\u3059\u3002 <\/li>\n<\/ul>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u7167:<\/strong><a href=\"https:\/\/statorials.org\/ja\/\u5e73\u5747\u5024\u306e\u6a19\u672c\u5206\u5e03\/\">\u5e73\u5747\u5024\u306e\u6a19\u672c\u5206\u5e03\u306b\u95a2\u3059\u308b\u89e3\u6c7a\u6e08\u307f\u6f14\u7fd2<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-muestral-de-la-proporcion\"><\/span>\u5272\u5408\u306e\u6a19\u672c\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5b9f\u969b\u3001\u30b5\u30f3\u30d7\u30eb\u306e\u4e00\u90e8\u3092\u8abf\u67fb\u3059\u308b\u3068\u304d\u306f\u3001\u6210\u529f\u4e8b\u4f8b\u3092\u5206\u6790\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u7814\u7a76\u306e\u78ba\u7387\u5909\u6570\u306f\u4e8c\u9805\u78ba\u7387\u5206\u5e03\u306b\u5f93\u3044\u307e\u3059\u3002<\/p>\n<p>\u4e2d\u5fc3\u6975\u9650\u5b9a\u7406\u306b\u3088\u308c\u3070\u3001\u5927\u304d\u306a\u30b5\u30a4\u30ba (n&gt;30) \u306e\u5834\u5408\u3001\u4e8c\u9805\u5206\u5e03\u3092\u6b63\u898f\u5206\u5e03\u306b\u8fd1\u3065\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u6bd4\u7387\u306e\u6a19\u672c\u5206\u5e03\u306f\u3001\u6b21\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u3092\u4f7f\u7528\u3057\u3066\u6b63\u898f\u5206\u5e03\u306b\u8fd1\u4f3c\u3057\u307e\u3059\u3002<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-f3408076893f390bb65baecfe38e6eff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\displaystyle\\mu_{p}=p \\qquad \\sigma_{p}=\\sqrt{\\frac{pq}{n}}\\\\[4ex]\\displaystyle N_{p}\\left(p, \\sqrt{\\frac{pq}{n}}\\right) \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"109\" width=\"168\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u91d1<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5faad0904f612a3fa5b27faafb8dc903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u306f\u6210\u529f\u306e\u78ba\u7387\u3067\u3042\u308a\u3001<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-420eca7b6df080cc5f01773d1978f44a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u5931\u6557\u306e\u78ba\u7387\u3067\u3059<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e1d214c21abe0d79fa453d635a025865_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q=1-p\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"72\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u3002<\/p>\n<p><strong>\u6ce8:<\/strong>\u4e8c\u9805\u5206\u5e03\u306f\u3001\u6b21\u306e\u5834\u5408\u306b\u306e\u307f\u6b63\u898f\u5206\u5e03\u306b\u8fd1\u4f3c\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-88e275a965c091eb810599a07b0f8d46_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n>30&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;14&#8243; width=&#8221;52&#8243; style=&#8221;vertical-align: -2px;&#8221;><\/p>\n<p> \u3001<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-41130f51ca4b83f1bf25b9dde90ecbfd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"np\\ge 5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"51\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u305d\u3057\u3066<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0af2ac5b6eb874f65b406b3bc39f0c7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"nq\\ge 5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"51\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u5272\u5408\u306e\u6a19\u672c\u5206\u5e03\u306f\u6b63\u898f\u5206\u5e03\u306b\u8fd1\u4f3c\u3067\u304d\u308b\u305f\u3081\u3001<strong>\u6a19\u672c\u306e\u5272\u5408\u306b\u95a2\u9023\u3059\u308b\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u5f0f\u306f\u6b21<\/strong>\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5b7a4224240587268d0dd7865a33ac31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z=\\cfrac{\\widehat{p}-p}{\\displaystyle\\sqrt{\\frac{pq}{n}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"69\" width=\"78\" style=\"vertical-align: -41px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\">\u91d1\uff1a <\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ecd29d136a62fc6b274e1181e064e20e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{p}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"12\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u306f\u30b5\u30f3\u30d7\u30eb\u306e\u5272\u5408\u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5faad0904f612a3fa5b27faafb8dc903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u4eba\u53e3\u306b\u5360\u3081\u308b\u5272\u5408\u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-420eca7b6df080cc5f01773d1978f44a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u306f\u6bcd\u96c6\u56e3\u304c\u5931\u6557\u3059\u308b\u78ba\u7387\u3067\u3042\u308a\u3001<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e1d214c21abe0d79fa453d635a025865_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q=1-p\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"72\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0be116875001706f29a24434bd0d91c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u3001\u6a19\u6e96\u6b63\u898f\u5206\u5e03 N(0,1) \u306b\u3088\u3063\u3066\u5b9a\u7fa9\u3055\u308c\u308b\u5909\u6570\u3067\u3059\u3002 <\/li>\n<\/ul>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u7167:<\/strong><a href=\"https:\/\/statorials.org\/ja\/\u30b5\u30f3\u30d5\u309a\u30ea\u30f3\u30af\u3099\u6bd4\u7387\u5206\u5e03\/\">\u6bd4\u7387\u306e\u6a19\u672c\u5206\u5e03\u306b\u95a2\u3059\u308b\u89e3\u6c7a\u6e08\u307f\u6f14\u7fd2<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-muestral-de-la-varianza\"><\/span>\u6a19\u672c\u5206\u6563\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5206\u6563\u306e\u6a19\u672c\u5206\u5e03\u306f\u3001\u30ab\u30a4\u4e8c\u4e57\u78ba\u7387\u5206\u5e03\u306b\u3088\u3063\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u6a19\u672c\u5206\u6563\u5206\u5e03\u306e\u7d71\u8a08\u91cf\u306e\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b<\/strong>\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3917636d4c911eeaad1a005195204d08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2=\\cfrac{(n-1)s^2}{\\sigma^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"115\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\">\u91d1\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-984dc78529fc235b078a9f3b62d0f0c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"18\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u306f\u3001\u30ab\u30a4\u4e8c\u4e57\u5206\u5e03\u306b\u5f93\u3046\u6a19\u672c\u5206\u6563\u5206\u5e03\u306e\u7d71\u8a08\u91cf\u3067\u3059\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3067\u3059\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3ab572e85f9cb7cb6f495387f2a6ab0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u6a19\u672c\u5206\u6563\u3067\u3059\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c6d52162ef1ec2e8130fb00687aca707_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"18\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u6bcd\u96c6\u56e3\u5206\u6563\u3067\u3059\u3002 <\/li>\n<\/ul>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u7167:<\/strong><a href=\"https:\/\/statorials.org\/ja\/\u30b5\u30f3\u30d5\u309a\u30ea\u30f3\u30af\u3099\u5206\u6563\u5206\u5e03\/\">\u5206\u6563\u306e\u6a19\u672c\u5206\u5e03\u306b\u95a2\u3059\u308b\u89e3\u6c7a\u6e08\u307f\u6f14\u7fd2<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-muestral-de-la-diferencia-de-medias\"><\/span>\u5e73\u5747\u5024\u306e\u5dee\u306e\u6a19\u672c\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u304c\u5341\u5206\u306b\u5927\u304d\u3044\u5834\u5408 (n <sub>1<\/sub> \u226530 \u304a\u3088\u3073 n <sub>2<\/sub> \u226530)\u3001\u5e73\u5747\u5dee\u306e\u30b5\u30f3\u30d7\u30eb\u5206\u5e03\u306f\u6b63\u898f\u5206\u5e03\u306b\u5f93\u3044\u307e\u3059\u3002\u3088\u308a\u6b63\u78ba\u306b\u306f\u3001\u524d\u8a18\u5206\u5e03\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u306f\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-90c67b74b4e9326b7869d641a59725d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\displaystyle \\mu_{\\overline{x_1}-\\overline{x_2}}=\\mu_1-\\mu_2 \\qquad \\sigma_{\\overline{x_1}-\\overline{x_2}}=\\sqrt{\\frac{\\sigma_1^2}{n_1}+\\frac{\\sigma_2^2}{n_2}}\\\\[6ex]\\displaystyle N_{\\overline{x_1}-\\overline{x_2}}\\left(\\mu_1-\\mu_2, \\sqrt{\\frac{\\sigma_1^2}{n_1}+\\frac{\\sigma_2^2}{n_2}}\\right) \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"151\" width=\"328\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p><strong>\u6ce8:<\/strong>\u4e21\u65b9\u306e\u6bcd\u96c6\u56e3\u304c\u6b63\u898f\u5206\u5e03\u3067\u3042\u308b\u5834\u5408\u3001\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306b\u95a2\u4fc2\u306a\u304f\u3001\u5e73\u5747\u306e\u5dee\u306e\u6a19\u672c\u5206\u5e03\u306f\u6b63\u898f\u5206\u5e03\u306b\u5f93\u3044\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u5e73\u5747\u5024\u306e\u5dee\u306e\u6a19\u672c\u5206\u5e03\u306f\u6b63\u898f\u5206\u5e03\u3067\u5b9a\u7fa9\u3055\u308c\u308b\u305f\u3081\u3001\u5e73\u5747<strong>\u5024\u306e\u5dee\u306e\u6a19\u672c\u5206\u5e03\u306e\u7d71\u8a08\u91cf\u3092\u8a08\u7b97\u3059\u308b\u5f0f\u306f<\/strong>\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-767964a3f07b303178ee08ec191eef43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z=\\cfrac{(\\overline{x_1}-\\overline{x_2})-(\\mu_1-\\mu_2)}{\\displaystyle\\sqrt{\\frac{\\sigma_1^2}{n_1}+\\frac{\\sigma_2^2}{n_2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"80\" width=\"203\" style=\"vertical-align: -52px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\">\u91d1\uff1a <\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a4071a38558726a684ed069430c89fe2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u306f\u30b5\u30f3\u30d7\u30eb i \u306e\u5e73\u5747\u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-78e04dacbf6a47efcbdcc0417020dcbb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u306f\u6bcd\u96c6\u56e3 i \u306e\u5e73\u5747\u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-dc8c8f782c0ed8b7925012b60e174fa3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u306f\u6bcd\u96c6\u56e3 i \u306e\u6a19\u6e96\u504f\u5dee\u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5f087375b50e0b49186779714206626b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u306f\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba i \u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0be116875001706f29a24434bd0d91c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u3001\u6a19\u6e96\u6b63\u898f\u5206\u5e03 N(0,1) \u306b\u3088\u3063\u3066\u5b9a\u7fa9\u3055\u308c\u308b\u5909\u6570\u3067\u3059\u3002<\/li>\n<\/ul>\n<p>\u7570\u306a\u308b\u6bcd\u96c6\u56e3\u304b\u3089\u306e\u30b5\u30f3\u30d7\u30eb\u306f\u7570\u306a\u308b\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3092\u6301\u3064\u53ef\u80fd\u6027\u304c\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u7167:<\/strong><a href=\"https:\/\/statorials.org\/ja\/\u5e73\u5747\u5024\u306e\u5dee\u306e\u6a19\u672c\u5206\u5e03\/\">\u5e73\u5747\u5024\u306e\u5dee\u306e\u6a19\u672c\u5206\u5e03\u306b\u95a2\u3059\u308b\u89e3\u6c7a\u6e08\u307f\u6f14\u7fd2<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-muestral-de-la-diferencia-de-proporciones\"><\/span>\u6bd4\u7387\u306e\u5dee\u306e\u6a19\u672c\u5206\u5e03<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5b9f\u969b\u306e\u76ee\u7684\u3067\u306f\u3001\u6bd4\u7387\u306f\u89b3\u6e2c\u5024\u306e\u7dcf\u6570\u306b\u5bfe\u3059\u308b\u6210\u529f\u4e8b\u4f8b\u306e\u6bd4\u7387\u3067\u3042\u308b\u305f\u3081\u3001\u6bd4\u7387\u306e\u9055\u3044\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u5206\u5e03\u306e\u305f\u3081\u306b\u9078\u629e\u3055\u308c\u305f\u30b5\u30f3\u30d7\u30eb\u306f\u4e8c\u9805\u5206\u5e03\u306b\u3088\u3063\u3066\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u305f\u3060\u3057\u3001\u4e2d\u5fc3\u6975\u9650\u5b9a\u7406\u306b\u3088\u308a\u3001\u4e8c\u9805\u5206\u5e03\u306f\u6b63\u898f\u78ba\u7387\u5206\u5e03\u306b\u8fd1\u4f3c\u3067\u304d\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6bd4\u7387\u306e\u5dee\u306e\u6a19\u672c\u5206\u5e03\u306f\u3001\u6b21\u306e\u7279\u6027\u3092\u6301\u3064\u6b63\u898f\u5206\u5e03\u306b\u8fd1\u4f3c\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a1ce359b5dd6d80f8d27b0b9a1034bed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\displaystyle\\mu_{\\widehat{p_1}-\\widehat{p_2}}=p_1-p_2 \\qquad \\sigma_{\\widehat{p_1}-\\widehat{p_2}}=\\sqrt{\\frac{p_1q_1}{n_1}+\\frac{p_2q_2}{n_2}}\\\\[6ex]\\displaystyle N_{p}\\left(p_1-p_2, \\sqrt{\\frac{p_1q_1}{n_1}+\\frac{p_2q_2}{n_2}}\\right) \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"122\" width=\"348\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p><strong>\u6ce8:<\/strong>\u6bd4\u7387\u306e\u5dee\u306e\u6a19\u672c\u5206\u5e03\u306f\u3001\u6b21\u306e\u5834\u5408\u306b\u306e\u307f\u6b63\u898f\u5206\u5e03\u306b\u8fd1\u4f3c\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-6a7ebccb76a4ee9bbf44bb0f41ffee53_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_1\\geq30\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"60\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u3001<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-93c3febf2679c77d41d7b319e262f298_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_2\\geq 30\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"60\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u3001<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-19a35b2095afa5133c32d92de163adaf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_1p_1\\geq5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"67\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u3001<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a89c44bd89266e2fba37bf5211a6e30e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_2p_2\\geq5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"67\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u3001<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-08c0b04a830a0062f4e7f25801c45fa9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_1q_1\\geq5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"66\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u305d\u3057\u3066<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-789e8bfde9b6a18c7ff9b1390feca142_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_2q_2\\geq5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"66\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u5272\u5408\u306e\u5dee\u306e\u6a19\u672c\u5206\u5e03\u306f\u6b63\u898f\u5206\u5e03\u306b\u8fd1\u4f3c\u3067\u304d\u308b\u305f\u3081\u3001<strong>\u5272\u5408\u306e\u5dee\u306e\u6a19\u672c\u5206\u5e03\u306e\u7d71\u8a08\u91cf\u3092\u8a08\u7b97\u3059\u308b\u5f0f\u306f<\/strong>\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a6b74dafd0599052a453e77646e5a77a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" 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src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a5db80b23c0dc6e4f21c509cb298856a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p_i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u306f\u4eba\u53e3 i \u306e\u5272\u5408\u3067\u3059\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-4b2d0075b0f4fd8e4e14194b33ed0fe8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q_i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u306f\u6bcd\u96c6\u56e3 i \u304c\u5931\u6557\u3059\u308b\u78ba\u7387\u3067\u3042\u308a\u3001<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" 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