{"id":260,"date":"2023-08-03T10:49:10","date_gmt":"2023-08-03T10:49:10","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e5%88%86%e6%95%a3%e3%81%ae%e4%bb%ae%e8%aa%ac%e6%a4%9c%e5%ae%9a\/"},"modified":"2023-08-03T10:49:10","modified_gmt":"2023-08-03T10:49:10","slug":"%e5%88%86%e6%95%a3%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%88%86%e6%95%a3%e3%81%ae%e4%bb%ae%e8%aa%ac%e6%a4%9c%e5%ae%9a\/","title":{"rendered":"\u5206\u6563\u306e\u4eee\u8aac\u691c\u5b9a"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u5206\u6563\u306e\u4eee\u8aac\u691c\u5b9a\u3068\u306f\u4f55\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5206\u6563\u4eee\u8aac\u691c\u5b9a\u306e\u516c\u5f0f\u3068\u3001\u3055\u3089\u306b\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3055\u308c\u308b\u6f14\u7fd2\u304c\u898b\u3064\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-varianza\"><\/span>\u5206\u6563\u306e\u4eee\u8aac\u691c\u5b9a\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u5206\u6563\u306e\u4eee\u8aac\u691c\u5b9a\u306f<\/strong>\u3001\u6bcd\u96c6\u56e3\u5206\u6563\u306e\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3059\u308b\u304b\u3069\u3046\u304b\u3092\u6c7a\u5b9a\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u7d71\u8a08\u624b\u6cd5\u3067\u3059\u3002\u8a00\u3044\u63db\u3048\u308c\u3070\u3001\u5206\u6563\u4eee\u8aac\u691c\u5b9a\u306f\u3001\u6bcd\u96c6\u56e3\u306e\u5206\u6563\u306e\u5024\u306b\u95a2\u3059\u308b\u4eee\u8aac\u3092\u68c4\u5374\u307e\u305f\u306f\u53d7\u3051\u5165\u308c\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u5177\u4f53\u7684\u306b\u306f\u3001\u5206\u6563\u306b\u95a2\u3059\u308b\u4eee\u8aac\u691c\u5b9a\u7d71\u8a08\u91cf\u306e\u5024\u3068\u9078\u629e\u3057\u305f\u6709\u610f\u6c34\u6e96\u306b\u5fdc\u3058\u3066\u3001\u5e30\u7121\u4eee\u8aac\u304c\u62d2\u5426\u3055\u308c\u308b\u304b\u53d7\u3051\u5165\u308c\u3089\u308c\u307e\u3059\u3002<\/p>\n<p>\u4eee\u8aac\u691c\u5b9a\u306b\u306f\u3055\u307e\u3056\u307e\u306a\u540d\u524d\u304c\u3042\u308a\u3001\u4eee\u8aac\u5bfe\u6bd4\u3001\u4eee\u8aac\u691c\u5b9a\u3001\u6709\u610f\u6027\u691c\u5b9a\u306a\u3069\u3068\u547c\u3070\u308c\u308b\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-prueba-de-hipotesis-para-la-varianza\"><\/span>\u5206\u6563\u306e\u4eee\u8aac\u691c\u5b9a\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5206\u6563\u306e\u4eee\u8aac\u691c\u5b9a\u7d71\u8a08\u91cf\u306f\u3001\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u304b\u3089\u30b5\u30f3\u30d7\u30eb\u5206\u6563\u306e 1 \u500d\u3092\u5f15\u3044\u305f\u3082\u306e\u3092\u6bcd\u5206\u6563\u306e\u63d0\u6848\u3055\u308c\u305f\u5024\u3067\u5272\u3063\u305f\u3082\u306e\u3068\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002\u5206\u6563\u306e\u4eee\u8aac\u691c\u5b9a\u7d71\u8a08\u91cf<a href=\"https:\/\/statorials.org\/ja\/\u30ab\u30a4\u4e8c\u4e57\u5206\u5e03\/\">\u306b\u306f\u30ab\u30a4\u4e8c\u4e57\u5206\u5e03\u304c<\/a>\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u5206\u6563\u306e\u4eee\u8aac\u691c\u5b9a\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-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\u5206\u6563\u306e\u4eee\u8aac\u691c\u5b9a\u7d71\u8a08\u91cf\u3067\u3042\u308a\u3001\u30ab\u30a4\u4e8c\u4e57\u5206\u5e03\u3092\u6301\u3061\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-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\u63d0\u6848\u3055\u308c\u305f\u6bcd\u96c6\u56e3\u5206\u6563\u3067\u3059\u3002<\/li>\n<\/ul>\n<p>\u7d71\u8a08\u306e\u7d50\u679c\u3092\u89e3\u91c8\u3059\u308b\u306b\u306f\u3001\u5f97\u3089\u308c\u305f\u5024\u3092\u30c6\u30b9\u30c8\u306e\u81e8\u754c\u5024\u3068\u6bd4\u8f03\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u5206\u6563\u306e\u4eee\u8aac\u691c\u5b9a\u304c\u4e21\u5074\u691c\u5b9a\u3067\u3042\u308b\u5834\u5408\u3001\u7d71\u8a08\u91cf\u304c\u81e8\u754c\u5024\u3088\u308a\u5927\u304d\u3044\u5834\u5408\u3001\u5e30\u7121\u4eee\u8aac\u306f\u68c4\u5374\u3055\u308c\u307e\u3059\u3002\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7bd4ac2951fb286bf19797944cba6955_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{1-\\alpha\/2|n-1}^2\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"81\" style=\"vertical-align: -10px;\"><\/p>\n<p><\/span>\u307e\u305f\u306f\u30af\u30ea\u30c6\u30a3\u30ab\u30eb\u5024\u304c\u4ee5\u4e0b\u306e\u5834\u5408<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-931a3f10ab51df1c9003e6cb593907c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{\\alpha\/2|n-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"63\" style=\"vertical-align: -8px;\"><\/p>\n<p>\u3002<\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u5206\u6563\u306e\u4eee\u8aac\u691c\u5b9a\u304c\u53f3\u88fe\u306b\u4e00\u81f4\u3059\u308b\u5834\u5408\u3001\u7d71\u8a08\u91cf\u304c\u81e8\u754c\u5024\u3088\u308a\u5927\u304d\u3044\u5834\u5408\u3001\u5e30\u7121\u4eee\u8aac\u306f\u68c4\u5374\u3055\u308c\u307e\u3059\u3002\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-243ef3cc114070613fd8bee8c61f8c13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{1-\\alpha|n-1}^2\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"67\" style=\"vertical-align: -10px;\"><\/p>\n<p><\/span> \u3002<\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u5206\u6563\u306e\u4eee\u8aac\u691c\u5b9a\u304c\u5de6\u88fe\u306b\u4e00\u81f4\u3059\u308b\u5834\u5408\u3001\u7d71\u8a08\u91cf\u304c\u81e8\u754c\u5024\u672a\u6e80\u3067\u3042\u308c\u3070\u5e30\u7121\u4eee\u8aac\u306f\u68c4\u5374\u3055\u308c\u307e\u3059\u3002\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0436c61e0bdff7a21f6e6ab296607c66_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{\\alpha|n-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"49\" style=\"vertical-align: -8px;\"><\/p>\n<p><\/span> \u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ca46378c1a2ee04b5cc5bfa93002fe9c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}H_1: \\sigma^2\\neq \\sigma_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } \\chi^2>\\chi^2_{1-\\alpha\/2|n-1}\\text{ se rechaza } H_0\\\\[3ex]H_1: \\sigma^2\\neq \\sigma_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si }\\chi^2<\\chi^2_{\\alpha\/2|n-1}\\text{ se rechaza } H_0 \\\\[3ex]H_1: \\sigma^2> \\sigma_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } \\chi^2>\\chi^2_{1-\\alpha|n-1}\\text{ se rechaza } H_0\\\\[3ex]H_1: \\sigma^2< \\sigma_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } \\chi^2<\\chi^2_{\\alpha|n-1}\\text{ se rechaza } H_0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"160\" width=\"489\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u5206\u6563\u306e\u91cd\u8981\u4eee\u8aac\u691c\u5b9a\u5024\u306f\u3001\u30ab\u30a4\u4e8c\u4e57\u5206\u5e03\u8868\u304b\u3089\u53d6\u5f97\u3055\u308c\u307e\u3059\u3002\u30ab\u30a4\u4e8c\u4e57\u5206\u5e03\u306e\u81ea\u7531\u5ea6\u306f\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u304b\u3089 1 \u3092\u5f15\u3044\u305f\u3082\u306e\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-resuelto-de-la-prueba-de-hipotesis-para-la-varianza\"><\/span>\u4eee\u8aac\u5206\u6563\u691c\u5b9a\u306e\u5b9f\u4e16\u754c\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5206\u6563\u4eee\u8aac\u691c\u5b9a\u306e\u5b9a\u7fa9\u3068\u305d\u306e\u5f0f\u304c\u4f55\u3067\u3042\u308b\u304b\u3092\u7406\u89e3\u3057\u305f\u5f8c\u3001\u6982\u5ff5\u306e\u7406\u89e3\u3092\u5b8c\u4e86\u3059\u308b\u305f\u3081\u306b\u5177\u4f53\u7684\u306a\u4f8b\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u5de5\u5834\u306b\u306f\u81ea\u52d5\u8eca\u306e\u90e8\u54c1\u3092\u9ad8\u7cbe\u5ea6\u3067\u751f\u7523\u3059\u308b\u6a5f\u68b0\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u73fe\u5728\u306f 8 mm <sup>2<\/sup>\u3092\u8d85\u3048\u308b\u30ae\u30e3\u30c3\u30d7\u3092\u6301\u3064\u90e8\u54c1\u3092\u88fd\u9020\u3057\u3066\u3044\u308b\u3068\u8003\u3048\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u4eee\u8aac\u3092\u5426\u5b9a\u3059\u308b\u305f\u3081\u306b\u300125 \u500b\u306e\u30b5\u30f3\u30d7\u30eb\u304c\u5206\u6790\u3055\u308c\u3001\u305d\u306e\u30b5\u30f3\u30d7\u30eb\u5206\u6563\u306f 9.1 mm <sup>2<\/sup>\u3067\u3057\u305f\u3002\u6700\u521d\u306e\u4eee\u8aac\u306f\u6709\u610f\u6c34\u6e96 \u03b1=0.05 \u3067\u68c4\u5374\u3067\u304d\u307e\u3059\u304b?<\/li>\n<\/ul>\n<p>\u3053\u306e\u5206\u6563\u4eee\u8aac\u691c\u5b9a\u306e\u5e30\u7121\u4eee\u8aac\u3068\u5bfe\u7acb\u4eee\u8aac\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-95b4fefa064ecb8bcdccd355ef3904a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}H_0: \\sigma^2=8 \\\\[2ex] H_1:\\sigma^2>8 \\end{cases}&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;65&#8243; width=&#8221;101&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/p>\n<\/p>\n<p>\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3067\u304d\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u306b\u306f\u3001\u4e0a\u8a18\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u5206\u6563\u306e\u4eee\u8aac\u691c\u5b9a\u7d71\u8a08\u91cf\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-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 class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-93abb2abcb6878bd1ae0de3d331a67a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2=\\cfrac{(25-1)\\cdot 9,1}{8}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"145\" 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-15f5c32cdf68c77a76adeb32af123a01_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2=27,3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u3053\u3053\u3067\u3001\u30ab\u30a4\u4e8c\u4e57\u5206\u5e03\u8868\u306e 24 \u81ea\u7531\u5ea6\u306e\u53f3\u88fe\u3068\u6709\u610f\u6c34\u6e96 \u03b1=0.05 \u306b\u5bfe\u5fdc\u3059\u308b\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-c0c6c817db31742b8faad397988d3db5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\chi^2_{1-\\alpha|n-1}=\\ \\color{orange}\\bm{?}\\color{black}\\\\[2ex]\\chi^2_{0,95|24}=36,415\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"63\" width=\"200\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u8a08\u7b97\u3055\u308c\u305f\u7d71\u8a08\u91cf\u306f\u691c\u5b9a\u306e\u81e8\u754c\u5024\u3088\u308a\u5c0f\u3055\u3044\u305f\u3081\u3001\u5206\u6563\u4eee\u8aac\u691c\u5b9a\u306e\u5e30\u7121\u4eee\u8aac\u306f\u68c4\u5374\u3055\u308c\u305a\u3001\u5bfe\u7acb\u4eee\u8aac\u304c\u68c4\u5374\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-9cc9224f9bcfd311e7dda07696f30d1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"27,3<36,415 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{No se rechaza } H_0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"380\" style=\"vertical-align: -4px;\"><\/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\u306b\u5bfe\u3059\u308b\u4eee\u8aac\u691c\u5b9a\/\">\u6bcd\u5e73\u5747\u306e\u4eee\u8aac\u691c\u5b9a<\/a><br \/><span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u7167:<\/strong><a href=\"https:\/\/statorials.org\/ja\/\u5272\u5408\u306e\u4eee\u8aac\u691c\u5b9a\/\">\u4eba\u53e3\u6bd4\u7387\u306e\u4eee\u8aac\u691c\u5b9a<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"prueba-de-hipotesis-para-la-varianza-de-dos-poblaciones\"><\/span> 2 \u3064\u306e\u6bcd\u96c6\u56e3\u306e\u5206\u6563\u306b\u5bfe\u3059\u308b\u4eee\u8aac\u691c\u5b9a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>2 \u6bcd\u96c6\u56e3\u5206\u6563\u4eee\u8aac\u691c\u5b9a\u306f\u3001<\/strong> 2 \u3064\u306e\u7570\u306a\u308b\u6bcd\u96c6\u56e3\u306e\u5206\u6563\u304c\u7b49\u3057\u3044\u3068\u3044\u3046\u4eee\u8aac\u3092\u68c4\u5374\u307e\u305f\u306f\u53d7\u3051\u5165\u308c\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u6bcd\u96c6\u56e3\u306e\u5206\u6563\u306b\u95a2\u3059\u308b\u4eee\u8aac\u691c\u5b9a\u306e\u5e30\u7121\u4eee\u8aac\u306f\u5e38\u306b\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-558a070923ca8d1fb80943f6aa9ec3c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"H_0: \\sigma^2_1=\\sigma^2_2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"97\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u5bfe\u7acb\u4eee\u8aac\u306f\u3001\u6b21\u306e 3 \u3064\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u306e\u3044\u305a\u308c\u304b\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-2ad02ce3bff3905a34a0ba9b6f8d98cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}H_1:\\sigma^2_1\\neq \\sigma^2_2\\\\[2ex]H_1:\\sigma^2_1>\\sigma^2_2\\\\[2ex]H_1:\\sigma^2_1<\\sigma^2_2\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"95\" width=\"97\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3053\u306e\u5834\u5408\u30012 \u3064\u306e\u6bcd\u96c6\u56e3\u306e\u5206\u6563\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\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-589dc6352e9cf19954c33b5beb5b0770_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F=\\cfrac{s_1^2}{s_2^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"56\" style=\"vertical-align: -18px;\"><\/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-88df03c55e081c7cd9da4e7d74ba7265_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u306f\u3001 <a href=\"https:\/\/statorials.org\/ja\/\u30b9\u30cd\u30c6\u3099\u30b3\u30fc\u30eb\u306e\u5206\u5e03-f\/\">F \u5206\u5e03<\/a>\u306b\u5f93\u3046 2 \u3064\u306e\u6bcd\u96c6\u56e3\u306e\u5206\u6563\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-c2e8ce841b1fc1e199b133e6f24f6f51_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_1^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"18\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u306f\u6bcd\u96c6\u56e3 1 \u306e\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-d5fd430c9ff19057933c215e683ace41_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_2^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"18\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u306f\u6bcd\u96c6\u56e3 2 \u306e\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-59ae3c411ec80f65d56e397f87d29753_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s_1^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"15\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u306f\u30b5\u30f3\u30d7\u30eb 1 \u306e\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-c785df8c080b6984c6205f881426fb10_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s_2^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"15\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u306f\u30b5\u30f3\u30d7\u30eb 2 \u306e\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-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> Snedecor F \u5206\u5e03\u306f\u5bfe\u79f0\u3067\u306f\u306a\u3044\u305f\u3081\u3001\u5e30\u7121\u4eee\u8aac\u306f\u6b21\u306e\u57fa\u6e96\u306b\u57fa\u3065\u3044\u3066\u68c4\u5374\u3055\u308c\u307e\u3059\u3002<\/p>\n<p> [latex]\\begin{array}{l}H_1: \\sigma_1^2\\neq \\sigma_2^2 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } F&gt;F_{ 1-\\alpha\/2|n_1-1|n_2-1}\\text{ se rechaza } H_0\\\\[3ex]H_1: \\sigma_1^2\\neq \\sigma_2^2 \\ \\color{orange}\\bm{\\longrightarrow }\\color{\u9ed2} \\ \\text{\u3082\u3057 }F<f_{\\alpha 2|n_1-1|n_2-1}\\text{=\"\" se=\"\" rechaza=\"\" }=\"\" h_0=\"\" \\\\[3ex]h_1:=\"\" \\sigma_1^2=\"\"> \\sigma_2^2 \\ \\color{\u30aa\u30ec\u30f3\u30b8}\\bm{\\longrightarrow}\\color{\u9ed2} \\ \\text{If } F&gt;F_{1-\\alpha|n_1-1|n_2-1}\\text{ \u518d\u78ba\u8a8d } H_0\\\\[3ex]H_1: \\sigma_1^2&lt; \\sigma_2^2 \\ \\color{\u30aa\u30ec\u30f3\u30b8}\\bm{\\longrightarrow}\\color{\u9ed2} \\ \\text{Si } F<\/f_{\\alpha><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u5206\u6563\u306e\u4eee\u8aac\u691c\u5b9a\u3068\u306f\u4f55\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5206\u6563\u4eee\u8aac\u691c\u5b9a\u306e\u516c\u5f0f\u3068\u3001\u3055\u3089\u306b\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3055\u308c\u308b\u6f14\u7fd2\u304c\u898b\u3064\u304b\u308a\u307e\u3059\u3002 \u5206\u6563\u306e\u4eee\u8aac\u691c\u5b9a\u3068\u306f\u4f55\u3067\u3059\u304b? \u5206\u6563\u306e\u4eee\u8aac\u691c\u5b9a\u306f\u3001\u6bcd\u96c6\u56e3\u5206\u6563\u306e\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3059\u308b\u304b\u3069\u3046 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[19],"tags":[],"class_list":["post-260","post","type-post","status-publish","format-standard","hentry","category-19"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 \u5206\u6563\u4eee\u8aac\u691c\u5b9a \u2013 \u78ba\u7387\u3068\u7d71\u8a08<\/title>\n<meta name=\"description\" content=\"\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u5206\u6563\u306e\u4eee\u8aac\u691c\u5b9a\u3068\u306f\u4f55\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5206\u6563\u306e\u4eee\u8aac\u691c\u5b9a\u5f0f\u304c\u898b\u3064\u304b\u308a\u307e\u3059\u3002\u305d\u3057\u3066\u3001 \u2705\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, 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