{"id":263,"date":"2023-08-03T10:49:10","date_gmt":"2023-08-03T10:49:10","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e6%96%b9%e5%b7%ae%e5%81%87%e8%ae%be%e6%a3%80%e9%aa%8c\/"},"modified":"2023-08-03T10:49:10","modified_gmt":"2023-08-03T10:49:10","slug":"%e6%96%b9%e5%b7%ae%e5%81%87%e8%ae%be%e6%a3%80%e9%aa%8c","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e6%96%b9%e5%b7%ae%e5%81%87%e8%ae%be%e6%a3%80%e9%aa%8c\/","title":{"rendered":"\u65b9\u5dee\u5047\u8bbe\u68c0\u9a8c"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u4ec0\u4e48\u662f\u65b9\u5dee\u5047\u8bbe\u68c0\u9a8c\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u627e\u5230\u65b9\u5dee\u5047\u8bbe\u68c0\u9a8c\u7684\u516c\u5f0f\uff0c\u4ee5\u53ca\u9010\u6b65\u89e3\u51b3\u7684\u7ec3\u4e60\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>\u4ec0\u4e48\u662f\u65b9\u5dee\u5047\u8bbe\u68c0\u9a8c\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u65b9\u5dee\u5047\u8bbe\u68c0\u9a8c<\/strong>\u662f\u4e00\u79cd\u7edf\u8ba1\u65b9\u6cd5\uff0c\u7528\u4e8e\u786e\u5b9a\u662f\u5426\u62d2\u7edd\u603b\u4f53\u65b9\u5dee\u7684\u539f\u5047\u8bbe\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u65b9\u5dee\u5047\u8bbe\u68c0\u9a8c\u7528\u4e8e\u62d2\u7edd\u6216\u63a5\u53d7\u6709\u5173\u603b\u4f53\u65b9\u5dee\u503c\u7684\u5047\u8bbe\u3002<\/p>\n<p>\u5177\u4f53\u6765\u8bf4\uff0c\u6839\u636e\u65b9\u5dee\u5047\u8bbe\u68c0\u9a8c\u7edf\u8ba1\u91cf\u7684\u503c\u548c\u6240\u9009\u7684\u663e\u7740\u6027\u6c34\u5e73\uff0c\u62d2\u7edd\u6216\u63a5\u53d7\u539f\u5047\u8bbe\u3002<\/p>\n<p>\u8bf7\u8bb0\u4f4f\uff0c\u5047\u8bbe\u68c0\u9a8c\u6709\u5f88\u591a\u540d\u79f0\uff0c\u4e5f\u53ef\u4ee5\u79f0\u4e3a\u5047\u8bbe\u5bf9\u6bd4\u3001\u5047\u8bbe\u68c0\u9a8c\u6216\u663e\u7740\u6027\u68c0\u9a8c\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-prueba-de-hipotesis-para-la-varianza\"><\/span>\u65b9\u5dee\u5047\u8bbe\u68c0\u9a8c\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u65b9\u5dee\u7684\u5047\u8bbe\u68c0\u9a8c\u7edf\u8ba1\u91cf\u7b49\u4e8e\u6837\u672c\u91cf\u51cf\u53bb\u4e00\u500d\u6837\u672c\u65b9\u5dee\u9664\u4ee5\u603b\u4f53\u65b9\u5dee\u7684\u5efa\u8bae\u503c\u4e4b\u95f4\u7684\u5dee\u3002\u65b9\u5dee\u7684\u5047\u8bbe\u68c0\u9a8c\u7edf\u8ba1\u91cf\u670d\u4ece<a href=\"https:\/\/statorials.org\/cn\/\u5361\u65b9\u5206\u5e03\/\">\u5361\u65b9\u5206\u5e03<\/a>\u3002<\/p>\n<p>\u56e0\u6b64\uff0c<strong>\u65b9\u5dee\u5047\u8bbe\u68c0\u9a8c\u7edf\u8ba1\u91cf\u7684\u8ba1\u7b97\u516c\u5f0f<\/strong>\u5982\u4e0b\uff1a<\/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\u5b50\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>\u662f\u65b9\u5dee\u7684\u5047\u8bbe\u68c0\u9a8c\u7edf\u8ba1\u91cf\uff0c\u5177\u6709\u5361\u65b9\u5206\u5e03\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>\u662f\u6837\u672c\u5927\u5c0f\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>\u662f\u6837\u672c\u65b9\u5dee\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>\u662f\u5efa\u8bae\u7684\u603b\u4f53\u65b9\u5dee\u3002<\/li>\n<\/ul>\n<p>\u4e3a\u4e86\u89e3\u91ca\u7edf\u8ba1\u7ed3\u679c\uff0c\u5fc5\u987b\u5c06\u83b7\u5f97\u7684\u503c\u4e0e\u6d4b\u8bd5\u7684\u4e34\u754c\u503c\u8fdb\u884c\u6bd4\u8f83\u3002<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u5982\u679c\u65b9\u5dee\u5047\u8bbe\u68c0\u9a8c\u662f\u53cc\u5c3e\u7684\uff0c\u5219\u5f53\u7edf\u8ba1\u91cf\u5927\u4e8e\u4e34\u754c\u503c\u65f6\uff0c\u5c06\u62d2\u7edd\u539f\u5047\u8bbe\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>\u6216\u8005\u5982\u679c\u4e34\u754c\u503c\u5c0f\u4e8e<\/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;\">\u5982\u679c\u65b9\u5dee\u7684\u5047\u8bbe\u68c0\u9a8c\u4e0e\u53f3\u5c3e\u5339\u914d\uff0c\u4e14\u7edf\u8ba1\u91cf\u5927\u4e8e\u4e34\u754c\u503c\uff0c\u5219\u62d2\u7edd\u539f\u5047\u8bbe\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;\">\u5982\u679c\u65b9\u5dee\u5047\u8bbe\u68c0\u9a8c\u4e0e\u5de6\u5c3e\u5339\u914d\uff0c\u4e14\u7edf\u8ba1\u91cf\u5c0f\u4e8e\u4e34\u754c\u503c\uff0c\u5219\u62d2\u7edd\u539f\u5047\u8bbe\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>\u65b9\u5dee\u7684\u4e34\u754c\u5047\u8bbe\u68c0\u9a8c\u503c\u662f\u4ece\u5361\u65b9\u5206\u5e03\u8868\u4e2d\u83b7\u5f97\u7684\u3002\u8bf7\u6ce8\u610f\uff0c\u5361\u65b9\u5206\u5e03\u7684\u81ea\u7531\u5ea6\u662f\u6837\u672c\u5927\u5c0f\u51cf 1\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>\u65b9\u5dee\u5047\u8bbe\u68c0\u9a8c\u7684\u73b0\u5b9e\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u4e86\u89e3\u4e86\u65b9\u5dee\u5047\u8bbe\u68c0\u9a8c\u7684\u5b9a\u4e49\u53ca\u5176\u516c\u5f0f\u662f\u4ec0\u4e48\u4e4b\u540e\uff0c\u6211\u4eec\u5c06\u770b\u5230\u4e00\u4e2a\u5177\u4f53\u7684\u793a\u4f8b\u6765\u5b8c\u6210\u5bf9\u6982\u5ff5\u7684\u7406\u89e3\u3002<\/p>\n<ul>\n<li>\u4e00\u5bb6\u5de5\u5382\u6709\u4e00\u53f0\u673a\u5668\uff0c\u53ef\u4ee5\u9ad8\u7cbe\u5ea6\u5730\u751f\u4ea7\u6c7d\u8f66\u96f6\u4ef6\u3002\u7136\u800c\uff0c\u4eba\u4eec\u6000\u7591\u5b83\u5df2\u7ecf\u642c\u8d70\uff0c\u73b0\u5728\u5236\u9020\u95f4\u9699\u5927\u4e8e8 mm <sup>2<\/sup>\u7684\u96f6\u4ef6\u3002\u4e3a\u4e86\u53cd\u9a73\u8fd9\u4e00\u5047\u8bbe\uff0c\u5bf925\u4ef6\u6837\u672c\u8fdb\u884c\u4e86\u5206\u6790\uff0c\u5176\u6837\u672c\u65b9\u5dee\u4e3a9.1 mm <sup>2<\/sup> \u3002\u80fd\u5426\u4ee5\u663e\u7740\u6027\u6c34\u5e73 \u03b1=0.05 \u62d2\u7edd\u521d\u59cb\u5047\u8bbe\uff1f<\/li>\n<\/ul>\n<p>\u6b64\u65b9\u5dee\u5047\u8bbe\u68c0\u9a8c\u7684\u539f\u5047\u8bbe\u548c\u5907\u62e9\u5047\u8bbe\u5982\u4e0b\uff1a<\/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>\u4e3a\u4e86\u786e\u5b9a\u662f\u5426\u53ef\u4ee5\u62d2\u7edd\u539f\u5047\u8bbe\uff0c\u6211\u4eec\u4f7f\u7528\u4e0a\u9762\u770b\u5230\u7684\u516c\u5f0f\u8ba1\u7b97\u65b9\u5dee\u7684\u5047\u8bbe\u68c0\u9a8c\u7edf\u8ba1\u91cf\uff1a <\/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>\u73b0\u5728\u6211\u4eec\u5728\u5361\u65b9\u5206\u5e03\u8868\u4e2d\u5bfb\u627e 24 \u4e2a\u81ea\u7531\u5ea6\u548c\u663e\u7740\u6027\u6c34\u5e73 \u03b1=0.05 \u7684\u53f3\u5c3e\u5bf9\u5e94\u7684\u4e34\u754c\u503c\uff1a<\/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>\u56e0\u6b64\uff0c\u8ba1\u7b97\u51fa\u7684\u7edf\u8ba1\u91cf\u5c0f\u4e8e\u68c0\u9a8c\u7684\u4e34\u754c\u503c\uff0c\u56e0\u6b64\u4e0d\u4f1a\u62d2\u7edd\u65b9\u5dee\u5047\u8bbe\u68c0\u9a8c\u7684\u539f\u5047\u8bbe\uff0c\u800c\u662f\u62d2\u7edd\u5907\u62e9\u5047\u8bbe\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>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u5e73\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\/\">\u603b\u4f53\u5e73\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c<\/a><br \/><span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u6bd4\u4f8b\u5047\u8bbe\u68c0\u9a8c\/\">\u4eba\u53e3\u6bd4\u4f8b\u7684\u5047\u8bbe\u68c0\u9a8c<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"prueba-de-hipotesis-para-la-varianza-de-dos-poblaciones\"><\/span>\u4e24\u4e2a\u603b\u4f53\u65b9\u5dee\u7684\u5047\u8bbe\u68c0\u9a8c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u4e8c\u603b\u4f53\u65b9\u5dee\u5047\u8bbe\u68c0\u9a8c<\/strong>\u7528\u4e8e\u62d2\u7edd\u6216\u63a5\u53d7\u4e24\u4e2a\u4e0d\u540c\u603b\u4f53\u7684\u65b9\u5dee\u76f8\u7b49\u7684\u5047\u8bbe\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u4e24\u4e2a\u603b\u4f53\u65b9\u5dee\u7684\u5047\u8bbe\u68c0\u9a8c\u7684\u96f6\u5047\u8bbe\u59cb\u7ec8\u5982\u4e0b\uff1a<\/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>\u5907\u62e9\u5047\u8bbe\u53ef\u4ee5\u662f\u4ee5\u4e0b\u4e09\u4e2a\u9009\u9879\u4e4b\u4e00\uff1a<\/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>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u8ba1\u7b97\u4e24\u4e2a\u603b\u4f53\u65b9\u5dee\u7684\u5047\u8bbe\u68c0\u9a8c\u7edf\u8ba1\u91cf\u7684\u516c\u5f0f\u4e3a\uff1a<\/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\u5b50\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>\u662f\u4e24\u4e2a\u603b\u4f53\u65b9\u5dee\u7684\u5047\u8bbe\u68c0\u9a8c\u7edf\u8ba1\u91cf\uff0c\u9075\u5faa<a href=\"https:\/\/statorials.org\/cn\/snedecor-\u7684\u5206\u5e03-f\/\">F \u5206\u5e03<\/a>\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>\u662f\u603b\u4f53 1 \u7684\u65b9\u5dee\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>\u662f\u603b\u4f53 2 \u7684\u65b9\u5dee\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>\u662f\u6837\u672c 1 \u7684\u65b9\u5dee\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>\u662f\u6837\u672c 2 \u7684\u65b9\u5dee\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>\u662f\u6837\u672c\u91cf 1\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>\u662f\u6837\u672c\u91cf 2\u3002<\/li>\n<\/ul>\n<p>\u7531\u4e8e Snedecor F \u5206\u5e03\u4e0d\u5bf9\u79f0\uff0c\u56e0\u6b64\u6839\u636e\u4ee5\u4e0b\u6807\u51c6\u62d2\u7edd\u539f\u5047\u8bbe\uff1a<\/p>\n<p> [\u4e73\u80f6]\\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{\u9ed1\u8272} \\ \\text{\u5982\u679c }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{\u6a59\u8272}\\bm{\\longrightarrow}\\color{\u9ed1\u8272} \\ \\text{If } F&gt;F_{1-\\alpha|n_1-1|n_2-1}\\text{ se rechaza } H_0\\\\[3ex]H_1: \\sigma_1^2&lt; \\sigma_2^2 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } F<\/f_{\\alpha><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u4ec0\u4e48\u662f\u65b9\u5dee\u5047\u8bbe\u68c0\u9a8c\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u627e\u5230\u65b9\u5dee\u5047\u8bbe\u68c0\u9a8c\u7684\u516c\u5f0f\uff0c\u4ee5\u53ca\u9010\u6b65\u89e3\u51b3\u7684\u7ec3\u4e60\u3002 \u4ec0\u4e48\u662f\u65b9\u5dee\u5047\u8bbe\u68c0\u9a8c\uff1f \u65b9 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-263","post","type-post","status-publish","format-standard","hentry","category-14"],"yoast_head":"<!-- This site is optimized with 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