{"id":282,"date":"2023-08-03T03:11:14","date_gmt":"2023-08-03T03:11:14","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e5%b9%b3%e5%9d%87%e3%81%ae%e5%b7%ae%e3%81%ae%e4%bb%ae%e8%aa%ac%e6%a4%9c%e5%ae%9a\/"},"modified":"2023-08-03T03:11:14","modified_gmt":"2023-08-03T03:11:14","slug":"%e5%b9%b3%e5%9d%87%e3%81%ae%e5%b7%ae%e3%81%ae%e4%bb%ae%e8%aa%ac%e6%a4%9c%e5%ae%9a","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e5%b9%b3%e5%9d%87%e3%81%ae%e5%b7%ae%e3%81%ae%e4%bb%ae%e8%aa%ac%e6%a4%9c%e5%ae%9a\/","title":{"rendered":"\u5e73\u5747\u5024\u306e\u9055\u3044\u306b\u95a2\u3059\u308b\u4eee\u8aac\u691c\u5b9a"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u7d71\u8a08\u306b\u304a\u3051\u308b\u5e73\u5747\u5024\u306e\u4eee\u8aac\u691c\u5b9a\u3068\u306f\u3069\u306e\u3088\u3046\u306a\u9055\u3044\u304c\u3042\u308b\u306e\u304b\u3001\u307e\u305f\u4f55\u306b\u4f7f\u7528\u3055\u308c\u308b\u306e\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u540c\u69d8\u306b\u3001\u5e73\u5747\u5024\u306e\u9055\u3044\u306b\u95a2\u3059\u308b\u4eee\u8aac\u691c\u5b9a\u3068\u3001\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3059\u308b\u6f14\u7fd2\u3092\u884c\u3046\u65b9\u6cd5\u3082\u308f\u304b\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-prueba-de-hipotesis-para-la-diferencia-de-medias\"><\/span>\u5e73\u5747\u5dee\u306e\u4eee\u8aac\u691c\u5b9a\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u5e73\u5747\u5024\u306e\u5dee\u306b\u95a2\u3059\u308b\u4eee\u8aac\u691c\u5b9a\u306f\u3001<\/strong> 2 \u3064\u306e\u6bcd\u96c6\u56e3\u306e\u5e73\u5747\u5024\u304c\u7570\u306a\u308b\u3068\u3044\u3046\u4eee\u8aac\u3092\u68c4\u5374\u307e\u305f\u306f\u53d7\u3051\u5165\u308c\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u7d71\u8a08\u691c\u5b9a\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u5e73\u5747\u5024\u4eee\u8aac\u691c\u5b9a\u306e\u5dee\u3092\u4f7f\u7528\u3057\u3066\u30012 \u3064\u306e\u6bcd\u96c6\u56e3\u306e\u5e73\u5747\u5024\u304c\u540c\u3058\u304b\u7570\u306a\u308b\u304b\u3092\u5224\u65ad\u3057\u307e\u3059\u3002<\/p>\n<p>\u4eee\u8aac\u691c\u5b9a\u3067\u884c\u308f\u308c\u308b\u6c7a\u5b9a\u306f\u3001\u4ee5\u524d\u306b\u78ba\u7acb\u3055\u308c\u305f<a href=\"https:\/\/statorials.org\/ja\/\u81ea\u4fe1\u306e\u30ec\u30d8\u3099\u30eb\/\">\u4fe1\u983c\u30ec\u30d9\u30eb<\/a>\u306b\u57fa\u3065\u3044\u3066\u884c\u308f\u308c\u308b\u305f\u3081\u3001\u4eee\u8aac\u691c\u5b9a\u306e\u7d50\u679c\u304c\u5e38\u306b\u6b63\u3057\u3044\u3053\u3068\u3092\u4fdd\u8a3c\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002\u3080\u3057\u308d\u3001\u305d\u308c\u304c\u771f\u3067\u3042\u308b\u53ef\u80fd\u6027\u304c\u6700\u3082\u9ad8\u3044\u7d50\u679c\u3067\u3042\u308b\u3068\u3044\u3046\u3053\u3068\u3092\u5ff5\u982d\u306b\u7f6e\u3044\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<p> 2 \u3064\u306e\u5e73\u5747\u306e\u5dee\u306e\u4eee\u8aac\u691c\u5b9a\u306b\u306f\u3001\u691c\u5b9a\u7d71\u8a08\u91cf\u3092\u8a08\u7b97\u3057\u3001\u305d\u308c\u3092\u81e8\u754c\u5024\u3068\u6bd4\u8f03\u3057\u3066\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3059\u308b\u304b\u3069\u3046\u304b\u304c\u542b\u307e\u308c\u307e\u3059\u3002\u4ee5\u4e0b\u3067\u306f\u3001\u5e73\u5747\u306e\u5dee\u306b\u5bfe\u3059\u308b\u4eee\u8aac\u691c\u5b9a\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<p>\u6700\u5f8c\u306b\u3001\u7d71\u8a08\u5b66\u3067\u306f\u3001\u4eee\u8aac\u691c\u5b9a\u306f\u4eee\u8aac\u5bfe\u6bd4\u3001\u4eee\u8aac\u691c\u5b9a\u3001\u307e\u305f\u306f\u6709\u610f\u6027\u691c\u5b9a\u3068\u547c\u3070\u308c\u308b\u3053\u3068\u3082\u3042\u308b\u3053\u3068\u3092\u899a\u3048\u3066\u304a\u3044\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\u306e\u5dee\u306e\u6a19\u672c\u5206\u5e03<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-prueba-de-hipotesis-para-la-diferencia-de-medias\"><\/span>\u5e73\u5747\u5024\u306e\u5dee\u306e\u4eee\u8aac\u691c\u5b9a\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5e73\u5747\u306e\u5dee\u306b\u95a2\u3059\u308b\u4eee\u8aac\u3092\u691c\u5b9a\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3059\u308b\u516c\u5f0f\u306f\u3001\u6bcd\u96c6\u56e3\u306e\u5206\u6563\u304c\u65e2\u77e5\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u3001\u307e\u305f\u3001\u65e2\u77e5\u3067\u306a\u3044\u5834\u5408\u306f\u305d\u308c\u3089\u304c\u540c\u3058\u3067\u3042\u308b\u3068\u4eee\u5b9a\u3067\u304d\u308b\u304b\u3001\u307e\u305f\u306f\u7570\u306a\u308b\u3068\u4eee\u5b9a\u3067\u304d\u308b\u304b\u306b\u3088\u3063\u3066\u7570\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u306f\u3001\u30b1\u30fc\u30b9\u306b\u5fdc\u3058\u3066\u3069\u306e\u516c\u5f0f\u3092\u4f7f\u7528\u3059\u308b\u304b\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"varianzas-conocidas\"><\/span>\u65e2\u77e5\u306e\u30d0\u30ea\u30a8\u30fc\u30b7\u30e7\u30f3<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u5206\u6563\u304c\u65e2\u77e5\u306e\u5834\u5408\u306b\u3001\u5e73\u5747\u306e\u5dee\u306e\u4eee\u8aac\u691c\u5b9a\u7d71\u8a08\u91cf\u3092\u8a08\u7b97\u3059\u308b\u5f0f\u306f<\/strong>\u6b21\u306e\u3068\u304a\u308a\u3067\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-0b7968d96046c1f555a7c95e7c3c408e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle Z=\\frac{\\displaystyle (\\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=\"78\" 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>\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\u306b\u5f93\u3046\u3001\u5206\u6563\u304c\u65e2\u77e5\u306e 2 \u3064\u306e\u5e73\u5747\u306e\u5dee\u306e\u4eee\u8aac\u691c\u5b9a\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-776e8d37515f607d16b6ea33cf27cb8e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u306f\u6bcd\u96c6\u56e3 1 \u306e\u5e73\u5747\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-eed6e51baac07f2aaf1c82b4b328ded8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u306f\u6bcd\u96c6\u56e3 2 \u306e\u5e73\u5747\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-1436bb55d331d1efe559fd1e55245851_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x_1}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u306f\u30b5\u30f3\u30d7\u30eb 1 \u306e\u5e73\u5747\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-f06b28a75570ecb4df1371dea2d9f2b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x_2}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u306f\u30b5\u30f3\u30d7\u30eb 2 \u306e\u5e73\u5747\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-802bfc799b8f222d7b47270e1569770b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u306f\u6bcd\u96c6\u56e3 1 \u306e\u6a19\u6e96\u504f\u5dee\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-063ad2fadbc81bd1df35589566b0bd16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u306f\u6bcd\u96c6\u56e3 2 \u306e\u6a19\u6e96\u504f\u5dee\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-cebc0a013985f2695aeb53ded9e7afb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306f1\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-bf1e42c248eee22a0911c24c95fe28f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306f2\u3067\u3059\u3002<\/li>\n<\/ul>\n<p>\u3053\u308c\u306f\u6700\u3082\u4e00\u822c\u7684\u306a\u30b1\u30fc\u30b9\u3067\u306f\u306a\u3044\u305f\u3081\u3001\u3053\u306e\u5f0f\u306f\u4e00\u90e8\u306e\u7279\u5b9a\u306e\u30b1\u30fc\u30b9\u3067\u306e\u307f\u4f7f\u7528\u3055\u308c\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"varianzas-desconocidas-e-iguales\"><\/span>\u672a\u77e5\u306e\u7b49\u3057\u3044\u504f\u5dee<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u6bcd\u96c6\u56e3\u306e\u5206\u6563\u304c\u4e0d\u660e\u3067\u3042\u308b\u304c\u7b49\u3057\u3044\u3068\u4eee\u5b9a\u3055\u308c\u308b\u5834\u5408\u3001\u5e73\u5747\u306e\u5dee\u306e\u4eee\u8aac\u691c\u5b9a\u7d71\u8a08\u91cf\u3092\u8a08\u7b97\u3059\u308b\u5f0f\u306f\u6b21\u306e<\/strong>\u3068\u304a\u308a\u3067\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-b879974c3d05ebcb049125dbaf9f0a48_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle t=\\frac{\\displaystyle (\\overline{x_1}-\\overline{x_2})-(\\mu_1-\\mu_2)}{\\displaystyle s_p\\sqrt{\\frac{1}{n_1}+\\frac{1}{n_2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"67\" width=\"197\" 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>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fd9cb27edab3f0a8a249bc80cc9c6ee2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u3001\u672a\u77e5\u306e\u5206\u6563\u3092\u4f34\u3046\u5e73\u5747\u306e\u5dee\u306e\u4eee\u8aac\u691c\u5b9a\u7d71\u8a08\u91cf\u3067\u3042\u308a\u3001\u81ea\u7531\u5ea6 n <sub>1<\/sub> + n <sub>2<\/sub> -2 \u306e\u30b9\u30c1\u30e5\u30fc\u30c7\u30f3\u30c8\u306e t \u5206\u5e03\u306b\u5f93\u3044\u307e\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-776e8d37515f607d16b6ea33cf27cb8e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u306f\u6bcd\u96c6\u56e3 1 \u306e\u5e73\u5747\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-eed6e51baac07f2aaf1c82b4b328ded8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u306f\u6bcd\u96c6\u56e3 2 \u306e\u5e73\u5747\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-1436bb55d331d1efe559fd1e55245851_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x_1}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u306f\u30b5\u30f3\u30d7\u30eb 1 \u306e\u5e73\u5747\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-f06b28a75570ecb4df1371dea2d9f2b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x_2}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u306f\u30b5\u30f3\u30d7\u30eb 2 \u306e\u5e73\u5747\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-db24109a40d5779feee64c7bccc11371_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s_p\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"15\" style=\"vertical-align: -6px;\"><\/p>\n<p>\u306f\u7d50\u5408\u3055\u308c\u305f\u6a19\u6e96\u504f\u5dee\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-cebc0a013985f2695aeb53ded9e7afb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306f1\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-bf1e42c248eee22a0911c24c95fe28f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306f2\u3067\u3059\u3002<\/li>\n<\/ul>\n<p> 2 \u3064\u306e\u30b5\u30f3\u30d7\u30eb\u306e\u6a19\u6e96\u504f\u5dee\u3092\u7d44\u307f\u5408\u308f\u305b\u305f\u5024\u306f\u3001\u6b21\u306e\u5f0f\u3067\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-a8fb43d179e453d19f5781319aa9e1ad_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle s_p=\\sqrt{\\frac{(n_1-1)s_1^2+(n_2-1)s_2^2}{n_1+n_2-2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"240\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"varianzas-desconocidas-y-diferentes\"><\/span>\u672a\u77e5\u306e\u3055\u307e\u3056\u307e\u306a\u30d0\u30ea\u30a8\u30fc\u30b7\u30e7\u30f3<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u6bcd\u96c6\u56e3\u306e\u5206\u6563\u304c\u4e0d\u660e\u3067\u3001\u3055\u3089\u306b\u7570\u306a\u308b\u3068\u4eee\u5b9a\u3055\u308c\u308b\u5834\u5408\u3001\u5e73\u5747\u306e\u5dee\u306b\u5bfe\u3059\u308b\u4eee\u8aac\u691c\u5b9a\u7d71\u8a08\u91cf\u3092\u8a08\u7b97\u3059\u308b\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059<\/strong>\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-01c79415ff9c173fa4517d4b1a859a8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle t=\\frac{\\displaystyle (\\overline{x_1}-\\overline{x_2})-(\\mu_1-\\mu_2)}{\\displaystyle \\sqrt{\\frac{s_1^2}{n_1}+\\frac{s_2^2}{n_2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"78\" width=\"197\" 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>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fd9cb27edab3f0a8a249bc80cc9c6ee2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u3001\u672a\u77e5\u306e\u5206\u6563\u3092\u4f34\u3046\u5e73\u5747\u306e\u5dee\u306e\u4eee\u8aac\u691c\u5b9a\u7d71\u8a08\u91cf\u3067\u3042\u308a\u3001\u30b9\u30c1\u30e5\u30fc\u30c7\u30f3\u30c8\u306e t \u5206\u5e03\u306b\u5f93\u3044\u307e\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-776e8d37515f607d16b6ea33cf27cb8e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u306f\u6bcd\u96c6\u56e3 1 \u306e\u5e73\u5747\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-eed6e51baac07f2aaf1c82b4b328ded8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u306f\u6bcd\u96c6\u56e3 2 \u306e\u5e73\u5747\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-1436bb55d331d1efe559fd1e55245851_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x_1}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u306f\u30b5\u30f3\u30d7\u30eb 1 \u306e\u5e73\u5747\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-f06b28a75570ecb4df1371dea2d9f2b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x_2}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u306f\u30b5\u30f3\u30d7\u30eb 2 \u306e\u5e73\u5747\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-802bfc799b8f222d7b47270e1569770b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u306f\u6bcd\u96c6\u56e3 1 \u306e\u6a19\u6e96\u504f\u5dee\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-063ad2fadbc81bd1df35589566b0bd16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u306f\u6bcd\u96c6\u56e3 2 \u306e\u6a19\u6e96\u504f\u5dee\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-cebc0a013985f2695aeb53ded9e7afb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306f1\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-bf1e42c248eee22a0911c24c95fe28f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306f2\u3067\u3059\u3002<\/li>\n<\/ul>\n<p>\u305f\u3060\u3057\u3001\u3053\u306e\u5834\u5408\u3001\u30b9\u30c1\u30e5\u30fc\u30c7\u30f3\u30c8\u306e t \u5206\u5e03\u306e\u81ea\u7531\u5ea6\u306f\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\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-ecf1ccfa1ecb47b889c569e5faa65a78_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle GL=\\frac{\\displaystyle\\left(\\frac{s_1^2}{n_1}+\\frac{s_2^2}{n_2}\\right)^2}{\\displaystyle\\frac{\\displaystyle\\frac{s_1^2}{n_1}}{n_1-1}+\\frac{\\displaystyle\\frac{s_2^2}{n_2}}{n_2-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"115\" width=\"180\" style=\"vertical-align: -61px;\"><\/p>\n<\/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\u306e\u5dee\u306e\u4fe1\u983c\u533a\u9593\/\">\u5e73\u5747\u306e\u5dee\u306e\u4fe1\u983c\u533a\u9593\u306e\u5f0f<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-resuelto-de-la-prueba-de-hipotesis-para-la-diferencia-de-medias\"><\/span>\u5e73\u5747\u5024\u306e\u9055\u3044\u306b\u5bfe\u3059\u308b\u4eee\u8aac\u691c\u5b9a\u306e\u5177\u4f53\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5e73\u5747\u306e\u5dee\u306b\u95a2\u3059\u308b\u4eee\u8aac\u691c\u5b9a\u306e\u6982\u5ff5\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u3001\u3053\u306e\u30bf\u30a4\u30d7\u306e\u4eee\u8aac\u691c\u5b9a\u306e\u5177\u4f53\u7684\u306a\u4f8b\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u7af6\u5408\u3059\u308b 2 \u3064\u306e\u4f01\u696d\u306e\u7d66\u4e0e\u306b\u95a2\u3059\u308b\u7d71\u8a08\u8abf\u67fb\u3092\u884c\u3044\u305f\u3044\u3068\u8003\u3048\u3066\u3044\u307e\u3059\u3002\u5177\u4f53\u7684\u306b\u306f\u30012 \u3064\u306e\u4f01\u696d\u306e\u5e73\u5747\u7d66\u4e0e\u304c\u7570\u306a\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3057\u305f\u3044\u3068\u8003\u3048\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u305f\u3081\u306b\u3001\u3042\u308b\u4f1a\u793e\u304b\u3089 47 \u4eba\u306e\u52b4\u50cd\u8005\u306e\u30b5\u30f3\u30d7\u30eb\u3092\u63a1\u53d6\u3057\u3001\u3082\u3046 1 \u3064\u306e\u4f1a\u793e\u304b\u3089 55 \u4eba\u306e\u52b4\u50cd\u8005\u306e\u30b5\u30f3\u30d7\u30eb\u3092\u63a1\u53d6\u3057\u307e\u3059\u3002\u6700\u521d\u306e\u30b5\u30f3\u30d7\u30eb\u304b\u3089\u306f\u5e73\u5747\u7d66\u4e0e 40,000 \u30c9\u30eb\u3068\u6a19\u6e96\u504f\u5dee 12,000 \u30c9\u30eb\u304c\u5f97\u3089\u308c\u30012 \u756a\u76ee\u306e\u30b5\u30f3\u30d7\u30eb\u304b\u3089\u306f\u5e73\u5747\u7d66\u4e0e 46,000 \u30c9\u30eb\u3068\u6a19\u6e96\u504f\u5dee 18,000 \u30c9\u30eb\u304c\u5f97\u3089\u308c\u307e\u3059\u3002 5% \u306e\u6709\u610f\u6c34\u6e96\u3067\u4eee\u8aac\u691c\u5b9a\u3092\u5b9f\u884c\u3057\u3066\u3001\u5e73\u5747\u7d66\u4e0e\u304c\u7570\u306a\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3057\u307e\u3059\u3002<\/li>\n<\/ul>\n<p>\u3053\u306e\u5834\u5408\u30012 \u3064\u306e\u5e73\u5747\u306e\u5dee\u306b\u5bfe\u3059\u308b\u4eee\u8aac\u691c\u5b9a\u306e<a href=\"https:\/\/statorials.org\/ja\/\u5e30\u7121\u4eee\u8aac\u3068\u5bfe\u7acb\u4eee\u8aac\/\">\u5e30\u7121\u4eee\u8aac\u3068\u5bfe\u7acb\u4eee\u8aac<\/a>\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\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-4dd9e80c0a87987d689d7b8d99be9d90_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}H_0: \\mu_1-\\mu_2=0\\\\[2ex] H_1:\\mu_1-\\mu_2\\neq 0 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"141\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u5834\u5408\u3001\u4eba\u53e3\u683c\u5dee\u306f\u4e0d\u660e\u3067\u3059\u304c\u3001\u4e21\u793e\u306f\u7af6\u5408\u4f01\u696d\u3067\u3042\u308a\u3001\u4e8b\u696d\u3092\u5c55\u958b\u3059\u308b\u5e02\u5834\u306e\u52b4\u50cd\u6761\u4ef6\u304c\u975e\u5e38\u306b\u4f3c\u3066\u3044\u308b\u305f\u3081\u3001\u4eba\u53e3\u683c\u5dee\u306f\u7b49\u3057\u3044\u3068\u60f3\u5b9a\u3067\u304d\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u4f7f\u7528\u3059\u3079\u304d\u5e73\u5747\u306e\u5dee\u306e\u4eee\u8aac\u691c\u5b9a\u7d71\u8a08\u91cf\u306e\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\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-b879974c3d05ebcb049125dbaf9f0a48_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle t=\\frac{\\displaystyle (\\overline{x_1}-\\overline{x_2})-(\\mu_1-\\mu_2)}{\\displaystyle s_p\\sqrt{\\frac{1}{n_1}+\\frac{1}{n_2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"67\" width=\"197\" style=\"vertical-align: -41px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u30b5\u30f3\u30d7\u30eb\u306e\u30d7\u30fc\u30eb\u3055\u308c\u305f\u6a19\u6e96\u504f\u5dee\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-0308363d68c4677761d44b214b1609d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\displaystyle s_p&amp;=\\sqrt{\\frac{(n_1-1)s_1^2+(n_2-1)s_2^2}{n_1+n_2-2}}\\\\[2ex]\\displaystyle s_p&amp;=\\sqrt{\\frac{(47-1)\\cdot 12000^2+(55-1)\\cdot 18000^2}{47+55-2}}\\\\[2ex]s_p&amp;=15530,61\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"161\" width=\"337\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3053\u3053\u3067\u3001\u5e73\u5747\u306e\u5dee\u306b\u4eee\u8aac\u691c\u5b9a\u516c\u5f0f\u3092\u9069\u7528\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-c5bf7791d156d1d7593182a7ffc64417_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle t=\\frac{\\displaystyle (\\overline{x_1}-\\overline{x_2})-(\\mu_1-\\mu_2)}{\\displaystyle s_p\\sqrt{\\frac{1}{n_1}+\\frac{1}{n_2}}}=\\cfrac{(40000-46000)-0}{\\displaystyle 15530,61\\sqrt{\\frac{1}{47}+\\frac{1}{55}}}=-1,94\" title=\"Rendered by QuickLaTeX.com\" height=\"69\" width=\"451\" style=\"vertical-align: -41px;\"><\/p>\n<\/p>\n<p>\u4e00\u65b9\u3001<a href=\"https:\/\/statorials.org\/ja\/\u5b66\u751f-t-\u5206\u5e03\u8868\/\">\u30b9\u30c1\u30e5\u30fc\u30c7\u30f3\u30c8\u306e t \u30c6\u30fc\u30d6\u30eb\u306e<\/a>\u5e73\u5747\u306e\u5dee\u306b\u5bfe\u3059\u308b\u4eee\u8aac\u691c\u5b9a\u306e\u81e8\u754c\u5024\u3092\u63a2\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-8154fa6e5bfee35698c6dc26928cd98c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha=0,05 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\ \\alpha\/2=0,025\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"300\" style=\"vertical-align: -5px;\"><\/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-d5f11ecd0336e50c63b0ab2fab4bd530_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}t_{\\alpha\/2| n_1+n_2-2}= \\ \\color{orange}\\bm{?}\\\\[4ex]t_{0,025| 100}=1,984\\end{array}\" 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