{"id":261,"date":"2023-08-03T11:26:47","date_gmt":"2023-08-03T11:26:47","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e5%b9%b3%e5%9d%87%e5%80%bc%e7%9a%84%e5%81%87%e8%ae%be%e6%a3%80%e9%aa%8c\/"},"modified":"2023-08-03T11:26:47","modified_gmt":"2023-08-03T11:26:47","slug":"%e5%b9%b3%e5%9d%87%e5%80%bc%e7%9a%84%e5%81%87%e8%ae%be%e6%a3%80%e9%aa%8c","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e5%b9%b3%e5%9d%87%e5%80%bc%e7%9a%84%e5%81%87%e8%ae%be%e6%a3%80%e9%aa%8c\/","title":{"rendered":"\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7edf\u8ba1\u5b66\u4e2d\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\u662f\u4ec0\u4e48\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u627e\u5230\u5e73\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\u516c\u5f0f\uff0c\u6b64\u5916\u8fd8\u6709\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-media\"><\/span>\u4ec0\u4e48\u662f\u5747\u503c\u5047\u8bbe\u68c0\u9a8c\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c<\/strong>\u662f\u4e00\u79cd\u7edf\u8ba1\u65b9\u6cd5\uff0c\u7528\u4e8e\u62d2\u7edd\u6216\u62d2\u7edd\u603b\u4f53\u5747\u503c\u7684\u539f\u5047\u8bbe\u3002<\/p>\n<p>\u66f4\u5177\u4f53\u5730\u8bf4\uff0c\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\u6d89\u53ca\u8ba1\u7b97\u68c0\u9a8c\u7edf\u8ba1\u91cf\u5e76\u5c06\u5176\u4e0e\u4e34\u754c\u503c\u8fdb\u884c\u6bd4\u8f83\u4ee5\u62d2\u7edd\u96f6\u5047\u8bbe\u3002<\/p>\n<p>\u5e94\u8be5\u6ce8\u610f\u7684\u662f\uff0c\u5047\u8bbe\u68c0\u9a8c\u6709\u4e0d\u540c\u7684\u540d\u79f0\uff1b\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c\u5b83\u4eec\u4e5f\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-media\"><\/span>\u5e73\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u63a5\u4e0b\u6765\u6211\u4eec\u5c06\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\u7edf\u8ba1\u91cf\u3002\u7136\u800c\uff0c\u6839\u636e\u65b9\u5dee\u662f\u5426\u5df2\u77e5\uff0c\u8be5\u516c\u5f0f\u4f1a\u7565\u6709\u4e0d\u540c\uff0c\u56e0\u6b64\u6211\u4eec\u5c06\u9996\u5148\u770b\u770b\u5f53\u65b9\u5dee\u5df2\u77e5\u65f6\uff0c\u7136\u540e\u5f53\u65b9\u5dee\u672a\u77e5\u65f6\uff0c\u5b83\u662f\u5982\u4f55\u5b8c\u6210\u7684\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"con-varianza-conocida\"><\/span>\u5df2\u77e5\u504f\u5dee<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u5df2\u77e5\u65b9\u5dee\u7684\u5747\u503c\u7684\u68c0\u9a8c\u5047\u8bbe\u516c\u5f0f<\/strong>\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-fdf1817a07bfb8c1eda9a8d8ccd8c828_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle Z=\\frac{\\overline{x}-\\mu}{\\displaystyle \\frac{\\sigma}{\\sqrt{n}}} \" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"81\" style=\"vertical-align: -34px;\"><\/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-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>\u662f\u5e73\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\u7edf\u8ba1\u91cf\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-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>\u662f\u6837\u672c\u5747\u503c\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-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>\u662f\u5efa\u8bae\u7684\u5e73\u5747\u503c\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-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>\u662f\u603b\u4f53\u6807\u51c6\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-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<\/ul>\n<p>\u8ba1\u7b97\u5e73\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\u7edf\u8ba1\u91cf\u540e\uff0c\u5e94\u5c06\u7ed3\u679c\u89e3\u91ca\u4e3a\u62d2\u7edd\u6216\u62d2\u7edd\u539f\u5047\u8bbe\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u5982\u679c\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\u662f\u53cc\u5411\u7684\uff0c\u5219\u5f53\u7edf\u8ba1\u91cf\u7684\u7edd\u5bf9\u503c\u5927\u4e8e\u4e34\u754c\u503c Z <sub>\u03b1\/2<\/sub>\u65f6\uff0c\u5c06\u62d2\u7edd\u539f\u5047\u8bbe\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u5982\u679c\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\u4e0e\u53f3\u5c3e\u5339\u914d\uff0c\u4e14\u7edf\u8ba1\u91cf\u5927\u4e8e\u4e34\u754c\u503c Z <sub>\u03b1<\/sub> \uff0c\u5219\u62d2\u7edd\u539f\u5047\u8bbe\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u5982\u679c\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\u4e0e\u5de6\u5c3e\u5339\u914d\uff0c\u4e14\u7edf\u8ba1\u91cf\u5c0f\u4e8e\u4e34\u754c\u503c -Z <sub>\u03b1<\/sub> \uff0c\u5219\u62d2\u7edd\u539f\u5047\u8bbe\u3002<\/span><\/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-0e2ccadfc369eb7543b8f86dfccc528e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}H_1: \\mu\\neq \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } |Z|>Z_{\\alpha\/2} \\text{ se rechaza } H_0\\\\[3ex]H_1: \\mu> \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } Z>Z_{\\alpha} \\text{ se rechaza } H_0\\\\[3ex]H_1: \\mu< \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } Z<-Z_{\\alpha} \\text{ se rechaza } H_0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"440\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u4e34\u754c\u503c\u662f\u4ece<a href=\"https:\/\/statorials.org\/cn\/\u6b63\u6001\u5206\u5e03\u8868\/\">\u6807\u51c6\u5316\u6b63\u6001\u5206\u5e03\u8868<\/a>\u4e2d\u83b7\u5f97\u7684\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"con-varianza-desconocida\"><\/span> \u65b9\u5dee\u672a\u77e5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u65b9\u5dee\u672a\u77e5\u7684\u5747\u503c\u7684\u68c0\u9a8c\u5047\u8bbe\u516c\u5f0f<\/strong>\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-f8277d83b2d28325f25f5d118486200f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle t=\\frac{\\overline{x}-\\mu}{\\displaystyle \\frac{s}{\\sqrt{n}}} \" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"75\" style=\"vertical-align: -34px;\"><\/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-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>\u662f\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\u7edf\u8ba1\u91cf\uff0c\u7531<a href=\"https:\/\/statorials.org\/cn\/\u5b66\u751f\u5206\u5e03\/\">\u5b66\u751f t \u5206\u5e03<\/a>\u5b9a\u4e49\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-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>\u662f\u6837\u672c\u5747\u503c\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-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>\u662f\u5efa\u8bae\u7684\u5e73\u5747\u503c\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-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>\u662f\u6837\u672c\u6807\u51c6\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-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<\/ul>\n<p>\u548c\u4ee5\u524d\u4e00\u6837\uff0c\u68c0\u9a8c\u7edf\u8ba1\u91cf\u7684\u8ba1\u7b97\u7ed3\u679c\u5fc5\u987b\u7528\u4e34\u754c\u503c\u6765\u89e3\u91ca\uff0c\u4ee5\u62d2\u7edd\u6216\u4e0d\u62d2\u7edd\u539f\u5047\u8bbe\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u5982\u679c\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\u662f\u53cc\u5411\u7684\uff0c\u5e76\u4e14\u7edf\u8ba1\u91cf\u7684\u7edd\u5bf9\u503c\u5927\u4e8e\u4e34\u754c\u503c t <sub>\u03b1\/2|n-1<\/sub> \uff0c\u5219\u62d2\u7edd\u539f\u5047\u8bbe\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u5982\u679c\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\u4e0e\u53f3\u5c3e\u5339\u914d\uff0c\u4e14\u7edf\u8ba1\u91cf\u5927\u4e8e\u4e34\u754c\u503c t <sub>\u03b1|n-1 \uff0c<\/sub>\u5219\u62d2\u7edd\u539f\u5047\u8bbe\u3002<\/span><\/li>\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\">\u5982\u679c\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\u4e0e\u5de6\u5c3e\u5339\u914d\uff0c\u4e14\u7edf\u8ba1\u91cf\u5c0f\u4e8e\u4e34\u754c\u503c -t <sub>\u03b1|n-1 \uff0c<\/sub>\u5219\u62d2\u7edd\u539f\u5047\u8bbe\u3002<\/span><\/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-31fb206b75a47181c7c673f54ba28ee8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}H_1: \\mu\\neq \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } |t|>t_{\\alpha\/2|n-1} \\text{ se rechaza } H_0\\\\[3ex]H_1: \\mu> \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } t>t_{\\alpha|n-1} \\text{ se rechaza } H_0\\\\[3ex]H_1: \\mu< \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } t<-t_{\\alpha|n-1} \\text{ se rechaza } H_0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"112\" width=\"457\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u5f53\u65b9\u5dee\u672a\u77e5\u65f6\uff0c\u4eceStudent\u5206\u5e03\u8868\u4e2d\u83b7\u5f97\u4e34\u754c\u6d4b\u8bd5\u503c\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-resuelto-de-la-prueba-de-hipotesis-para-la-media\"><\/span>\u5747\u503c\u5047\u8bbe\u68c0\u9a8c\u7684\u73b0\u5b9e\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8981\u5145\u5206\u7406\u89e3\u603b\u4f53\u5747\u503c\u5047\u8bbe\u68c0\u9a8c\u7684\u6982\u5ff5\uff0c\u60a8\u53ef\u4ee5\u5728\u4e0b\u9762\u67e5\u770b\u6b64\u7c7b\u5047\u8bbe\u68c0\u9a8c\u7684\u73b0\u5b9e\u793a\u4f8b\u3002<\/p>\n<ul>\n<li>\u4e00\u5bb6\u79d1\u6280\u516c\u53f8\u58f0\u79f0\uff0c\u5176\u9500\u552e\u7684\u7b14\u8bb0\u672c\u7535\u8111\u7535\u6c60\u53ef\u6301\u7eed\u4f7f\u7528 6 \u5c0f\u65f6\u3002\u6211\u4eec\u901a\u8fc7\u6267\u884c\u663e\u7740\u6027\u6c34\u5e73 \u03b1 = 0.05 \u7684\u5047\u8bbe\u68c0\u9a8c\u6765\u68c0\u67e5\u8be5\u5047\u8bbe\u662f\u5426\u9519\u8bef\u3002\u4e3a\u6b64\uff0c\u51b3\u5b9a\u8d2d\u4e70 20 \u53f0\u5e76\u89c2\u5bdf\u6bcf\u53f0\u8ba1\u7b97\u673a\u7684\u7535\u6c60\u5bff\u547d\uff08\u503c\u4ee5\u5c0f\u65f6\u8868\u793a\uff09\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"> 5.2 5.9 7.1 4.2 6.5<br \/> 8.5 4.6 6.8 6.9 5.8<br \/> 5.1 6.5 7.0 5.3 6.2<br \/> 5.7 6.6 7.5 5.1 6.1<\/p>\n<p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u5173\u4e8e<a href=\"https:\/\/statorials.org\/cn\/\u96f6\u5047\u8bbe\u548c\u5907\u62e9\u5047\u8bbe\/\">\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\u7684\u539f\u5047\u8bbe\u548c\u5907\u62e9<\/a>\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-329ffe392783b8bee1eef642d1a45f53_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}H_0: \\mu=6\\\\[2ex] H_1:\\mu\\neq 6 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"93\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u4e3a\u4e86\u786e\u5b9a\u68c0\u9a8c\u7edf\u8ba1\u91cf\uff0c\u6211\u4eec\u9996\u5148\u9700\u8981\u8ba1\u7b97\u6837\u672c\u5747\u503c\u548c\u6837\u672c\u6807\u51c6\u5dee\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-ef07dbee8f95fc767bc069bd738bb493_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}=6,13 \\qquad s=1,05\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"169\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u7531\u4e8e\u6211\u4eec\u4e0d\u77e5\u9053\u603b\u4f53\u65b9\u5dee\uff0c\u4e3a\u4e86\u83b7\u5f97\u68c0\u9a8c\u7edf\u8ba1\u91cf\uff0c\u6211\u4eec\u9700\u8981\u5bf9\u65b9\u5dee\u672a\u77e5\u7684\u5747\u503c\u5e94\u7528\u5047\u8bbe\u68c0\u9a8c\u516c\u5f0f\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-f8277d83b2d28325f25f5d118486200f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle t=\\frac{\\overline{x}-\\mu}{\\displaystyle \\frac{s}{\\sqrt{n}}} \" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"75\" style=\"vertical-align: -34px;\"><\/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-447879c9f526afed74796d347fd69c97_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle t=\\frac{6,13-6}{\\displaystyle \\frac{1,05}{\\sqrt{20}}} \" title=\"Rendered by QuickLaTeX.com\" height=\"62\" width=\"98\" style=\"vertical-align: -38px;\"><\/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-e0e63621349c12eec107c43152b5213c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle t=0,68\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"65\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u9700\u8981\u627e\u5230\u5047\u8bbe\u68c0\u9a8c\u7684\u4e34\u754c\u503c\uff0c\u56e0\u6b64\u6211\u4eec\u5728<a href=\"https:\/\/statorials.org\/cn\/\u5b66\u751ft\u5206\u5e03\u8868\/\">\u5b66\u751f t \u5206\u5e03\u8868<\/a>\u4e2d\u67e5\u627e\u76f8\u5e94\u7684\u503c\u3002 Student t \u7684\u81ea\u7531\u5ea6\u6bd4\u6837\u672c\u91cf\u5c0f 1 (20-1=19)\uff0c\u53e6\u4e00\u65b9\u9762\uff0c\u7531\u4e8e\u5b83\u662f\u53cc\u8fb9\u7684\uff0c\u56e0\u6b64\u76f8\u5e94\u7684\u6982\u7387\u662f\u663e\u7740\u6027\u6c34\u5e73\u7684\u4e00\u534a (0.05\/2= 0.025)\u5047\u8bbe\u68c0\u9a8c\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-e85692dfb2fb2522025566dc205b8117_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}t_{\\alpha\/2| n-1}= \\ \\color{orange}\\bm{?}\\\\[4ex]t_{0,025| 19}=2,093\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"72\" width=\"152\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u603b\u4e4b\uff0c\u7531\u4e8e\u8fd9\u662f\u53cc\u5411\u5047\u8bbe\u68c0\u9a8c\uff0c\u4e14\u68c0\u9a8c\u7edf\u8ba1\u91cf\u7684\u7edd\u5bf9\u503c\u5c0f\u4e8e\u4e34\u754c\u503c\uff0c\u56e0\u6b64\u4e0d\u62d2\u7edd\u539f\u5047\u8bbe\uff0c\u4f46\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-0e46ceecc8ebcda6dd88ec4d3771c285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0,68<2,093 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Se rechaza } H_1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"345\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"prueba-de-hipotesis-para-la-diferencia-de-medias\"><\/span>\u5747\u503c\u5dee\u5f02\u7684\u5047\u8bbe\u68c0\u9a8c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u5747\u503c\u5dee\u5f02\u5047\u8bbe\u68c0\u9a8c<\/strong>\u7528\u4e8e\u62d2\u7edd\u6216\u63a5\u53d7\u4e24\u4e2a\u603b\u4f53\u5747\u503c\u76f8\u540c\u7684\u539f\u5047\u8bbe\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u4e24\u4e2a\u5747\u503c\u5dee\u5f02\u7684\u5047\u8bbe\u68c0\u9a8c\u7684\u539f\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-2945a64bf97e1c02ac7fb56bbf1f215b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"H_0: \\mu_1=\\mu_2\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"97\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u800c\u5907\u62e9\u5047\u8bbe\u53ef\u4ee5\u662f\u4ee5\u4e0b\u4e09\u79cd\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-c612ac7651faad9faa195f37fdf6edef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}H_1:\\mu_1\\neq \\mu_2\\\\[2ex]H_1:\\mu_1>\\mu_2\\\\[2ex]H_1:\\mu_1<\\mu_2\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"92\" width=\"97\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u90a3\u4e48\uff0c<strong>\u5f53\u65b9\u5dee\u5df2\u77e5\u65f6\uff0c\u8ba1\u7b97\u5747\u503c\u5dee\u5f02\u7684\u5047\u8bbe\u68c0\u9a8c\u7edf\u8ba1\u91cf\u7684\u516c\u5f0f<\/strong>\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-83c9d3ddf8c2ff8b9cf2b0fa4ac8082e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle Z=\\frac{\\displaystyle \\overline{x_1}-\\overline{x_2}}{\\displaystyle\\sqrt{\\frac{\\sigma_1^2}{n_1}+\\frac{\\sigma_2^2}{n_2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"75\" width=\"123\" style=\"vertical-align: -52px;\"><\/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-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>\u662f\u5df2\u77e5\u65b9\u5dee\u7684\u4e24\u4e2a\u5747\u503c\u4e4b\u5dee\u7684\u5047\u8bbe\u68c0\u9a8c\u7edf\u8ba1\u91cf\uff0c\u9075\u5faa\u6807\u51c6\u6b63\u6001\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-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>\u662f\u6837\u672c 1 \u7684\u5e73\u5747\u503c\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>\u662f\u6837\u672c 2 \u7684\u5e73\u5747\u503c\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-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>\u53e6\u4e00\u65b9\u9762\uff0c<strong>\u5f53\u65b9\u5dee\u672a\u77e5\u65f6\uff0c\u5747\u503c\u5dee\u7684\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-e9fbc7bf6d5bbaeb18a3992a3f373a55_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle t=\\frac{\\displaystyle \\overline{x_1}-\\overline{x_2}}{\\displaystyle\\sqrt{\\frac{(n_1-1)s_1^2+(n_2-1)s_2^2}{n_1+n_2-2}}\\sqrt{\\frac{1}{n_1}+\\frac{1}{n_2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"75\" width=\"317\" style=\"vertical-align: -52px;\"><\/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-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>\u662f\u65b9\u5dee\u672a\u77e5\u7684\u4e24\u4e2a\u5747\u503c\u4e4b\u5dee\u7684\u5047\u8bbe\u68c0\u9a8c\u7edf\u8ba1\u91cf\uff0c\u9075\u5faa Student t \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-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>\u662f\u6837\u672c 1 \u7684\u5e73\u5747\u503c\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>\u662f\u6837\u672c 2 \u7684\u5e73\u5747\u503c\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","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7edf\u8ba1\u5b66\u4e2d\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\u662f\u4ec0\u4e48\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u627e\u5230\u5e73\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\u516c\u5f0f\uff0c\u6b64\u5916\u8fd8\u6709\u9010\u6b65\u89e3\u51b3\u7684\u7ec3\u4e60\u3002 \u4ec0\u4e48\u662f\u5747 [&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-261","post","type-post","status-publish","format-standard","hentry","category-14"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 \u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c<\/title>\n<meta name=\"description\" content=\"\u5728\u8fd9\u91cc\u60a8\u5c06\u627e\u5230\u5747\u503c\u5047\u8bbe\u68c0\u9a8c\u662f\u4ec0\u4e48\u3001\u5176\u516c\u5f0f\u4ee5\u53ca\u5747\u503c\u5047\u8bbe\u68c0\u9a8c\u7684\u5177\u4f53\u793a\u4f8b\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/cn\/\u5e73\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 \u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\" \/>\n<meta property=\"og:description\" content=\"\u5728\u8fd9\u91cc\u60a8\u5c06\u627e\u5230\u5747\u503c\u5047\u8bbe\u68c0\u9a8c\u662f\u4ec0\u4e48\u3001\u5176\u516c\u5f0f\u4ee5\u53ca\u5747\u503c\u5047\u8bbe\u68c0\u9a8c\u7684\u5177\u4f53\u793a\u4f8b\u3002\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/cn\/\u5e73\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-03T11:26:47+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fdf1817a07bfb8c1eda9a8d8ccd8c828_l3.png\" \/>\n<meta name=\"author\" content=\"\u672c\u6770\u660e\u00b7\u5b89\u5fb7\u68ee\u535a\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"\u672c\u6770\u660e\u00b7\u5b89\u5fb7\u68ee\u535a\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/cn\/%e5%b9%b3%e5%9d%87%e5%80%bc%e7%9a%84%e5%81%87%e8%ae%be%e6%a3%80%e9%aa%8c\/\",\"url\":\"https:\/\/statorials.org\/cn\/%e5%b9%b3%e5%9d%87%e5%80%bc%e7%9a%84%e5%81%87%e8%ae%be%e6%a3%80%e9%aa%8c\/\",\"name\":\"\u25b7 \u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/cn\/#website\"},\"datePublished\":\"2023-08-03T11:26:47+00:00\",\"dateModified\":\"2023-08-03T11:26:47+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/cn\/#\/schema\/person\/124e4e5b7c9f8dc0f1f95cc8c1db3261\"},\"description\":\"\u5728\u8fd9\u91cc\u60a8\u5c06\u627e\u5230\u5747\u503c\u5047\u8bbe\u68c0\u9a8c\u662f\u4ec0\u4e48\u3001\u5176\u516c\u5f0f\u4ee5\u53ca\u5747\u503c\u5047\u8bbe\u68c0\u9a8c\u7684\u5177\u4f53\u793a\u4f8b\u3002\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/cn\/%e5%b9%b3%e5%9d%87%e5%80%bc%e7%9a%84%e5%81%87%e8%ae%be%e6%a3%80%e9%aa%8c\/#breadcrumb\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/cn\/%e5%b9%b3%e5%9d%87%e5%80%bc%e7%9a%84%e5%81%87%e8%ae%be%e6%a3%80%e9%aa%8c\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/cn\/%e5%b9%b3%e5%9d%87%e5%80%bc%e7%9a%84%e5%81%87%e8%ae%be%e6%a3%80%e9%aa%8c\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u5bb6\",\"item\":\"https:\/\/statorials.org\/cn\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/cn\/#website\",\"url\":\"https:\/\/statorials.org\/cn\/\",\"name\":\"Statorials\",\"description\":\"\u60a8\u7684\u7edf\u8ba1\u7d20\u517b\u6307\u5357\uff01\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/cn\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"zh-Hans\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/cn\/#\/schema\/person\/124e4e5b7c9f8dc0f1f95cc8c1db3261\",\"name\":\"\u672c\u6770\u660e\u00b7\u5b89\u5fb7\u68ee\u535a\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/statorials.org\/cn\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/cn\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/cn\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"\u672c\u6770\u660e\u00b7\u5b89\u5fb7\u68ee\u535a\"},\"description\":\"\u5927\u5bb6\u597d\uff0c\u6211\u662f\u672c\u6770\u660e\uff0c\u4e00\u4f4d\u9000\u4f11\u7684\u7edf\u8ba1\u5b66\u6559\u6388\uff0c\u540e\u6765\u6210\u4e3a Statorials \u7684\u70ed\u5fc3\u6559\u5e08\u3002 \u51ed\u501f\u5728\u7edf\u8ba1\u9886\u57df\u7684\u4e30\u5bcc\u7ecf\u9a8c\u548c\u4e13\u4e1a\u77e5\u8bc6\uff0c\u6211\u6e34\u671b\u5206\u4eab\u6211\u7684\u77e5\u8bc6\uff0c\u901a\u8fc7 Statorials \u589e\u5f3a\u5b66\u751f\u7684\u80fd\u529b\u3002\u4e86\u89e3\u66f4\u591a\",\"sameAs\":[\"https:\/\/statorials.org\/cn\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u25b7 \u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c","description":"\u5728\u8fd9\u91cc\u60a8\u5c06\u627e\u5230\u5747\u503c\u5047\u8bbe\u68c0\u9a8c\u662f\u4ec0\u4e48\u3001\u5176\u516c\u5f0f\u4ee5\u53ca\u5747\u503c\u5047\u8bbe\u68c0\u9a8c\u7684\u5177\u4f53\u793a\u4f8b\u3002","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/cn\/\u5e73\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\/","og_locale":"zh_CN","og_type":"article","og_title":"\u25b7 \u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c","og_description":"\u5728\u8fd9\u91cc\u60a8\u5c06\u627e\u5230\u5747\u503c\u5047\u8bbe\u68c0\u9a8c\u662f\u4ec0\u4e48\u3001\u5176\u516c\u5f0f\u4ee5\u53ca\u5747\u503c\u5047\u8bbe\u68c0\u9a8c\u7684\u5177\u4f53\u793a\u4f8b\u3002","og_url":"https:\/\/statorials.org\/cn\/\u5e73\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c\/","og_site_name":"Statorials","article_published_time":"2023-08-03T11:26:47+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fdf1817a07bfb8c1eda9a8d8ccd8c828_l3.png"}],"author":"\u672c\u6770\u660e\u00b7\u5b89\u5fb7\u68ee\u535a","twitter_card":"summary_large_image","twitter_misc":{"\u4f5c\u8005":"\u672c\u6770\u660e\u00b7\u5b89\u5fb7\u68ee\u535a"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/cn\/%e5%b9%b3%e5%9d%87%e5%80%bc%e7%9a%84%e5%81%87%e8%ae%be%e6%a3%80%e9%aa%8c\/","url":"https:\/\/statorials.org\/cn\/%e5%b9%b3%e5%9d%87%e5%80%bc%e7%9a%84%e5%81%87%e8%ae%be%e6%a3%80%e9%aa%8c\/","name":"\u25b7 \u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c","isPartOf":{"@id":"https:\/\/statorials.org\/cn\/#website"},"datePublished":"2023-08-03T11:26:47+00:00","dateModified":"2023-08-03T11:26:47+00:00","author":{"@id":"https:\/\/statorials.org\/cn\/#\/schema\/person\/124e4e5b7c9f8dc0f1f95cc8c1db3261"},"description":"\u5728\u8fd9\u91cc\u60a8\u5c06\u627e\u5230\u5747\u503c\u5047\u8bbe\u68c0\u9a8c\u662f\u4ec0\u4e48\u3001\u5176\u516c\u5f0f\u4ee5\u53ca\u5747\u503c\u5047\u8bbe\u68c0\u9a8c\u7684\u5177\u4f53\u793a\u4f8b\u3002","breadcrumb":{"@id":"https:\/\/statorials.org\/cn\/%e5%b9%b3%e5%9d%87%e5%80%bc%e7%9a%84%e5%81%87%e8%ae%be%e6%a3%80%e9%aa%8c\/#breadcrumb"},"inLanguage":"zh-Hans","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/cn\/%e5%b9%b3%e5%9d%87%e5%80%bc%e7%9a%84%e5%81%87%e8%ae%be%e6%a3%80%e9%aa%8c\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/cn\/%e5%b9%b3%e5%9d%87%e5%80%bc%e7%9a%84%e5%81%87%e8%ae%be%e6%a3%80%e9%aa%8c\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u5bb6","item":"https:\/\/statorials.org\/cn\/"},{"@type":"ListItem","position":2,"name":"\u5747\u503c\u7684\u5047\u8bbe\u68c0\u9a8c"}]},{"@type":"WebSite","@id":"https:\/\/statorials.org\/cn\/#website","url":"https:\/\/statorials.org\/cn\/","name":"Statorials","description":"\u60a8\u7684\u7edf\u8ba1\u7d20\u517b\u6307\u5357\uff01","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/statorials.org\/cn\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"zh-Hans"},{"@type":"Person","@id":"https:\/\/statorials.org\/cn\/#\/schema\/person\/124e4e5b7c9f8dc0f1f95cc8c1db3261","name":"\u672c\u6770\u660e\u00b7\u5b89\u5fb7\u68ee\u535a","image":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/statorials.org\/cn\/#\/schema\/person\/image\/","url":"https:\/\/statorials.org\/cn\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","contentUrl":"https:\/\/statorials.org\/cn\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","caption":"\u672c\u6770\u660e\u00b7\u5b89\u5fb7\u68ee\u535a"},"description":"\u5927\u5bb6\u597d\uff0c\u6211\u662f\u672c\u6770\u660e\uff0c\u4e00\u4f4d\u9000\u4f11\u7684\u7edf\u8ba1\u5b66\u6559\u6388\uff0c\u540e\u6765\u6210\u4e3a Statorials \u7684\u70ed\u5fc3\u6559\u5e08\u3002 \u51ed\u501f\u5728\u7edf\u8ba1\u9886\u57df\u7684\u4e30\u5bcc\u7ecf\u9a8c\u548c\u4e13\u4e1a\u77e5\u8bc6\uff0c\u6211\u6e34\u671b\u5206\u4eab\u6211\u7684\u77e5\u8bc6\uff0c\u901a\u8fc7 Statorials \u589e\u5f3a\u5b66\u751f\u7684\u80fd\u529b\u3002\u4e86\u89e3\u66f4\u591a","sameAs":["https:\/\/statorials.org\/cn"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/cn\/wp-json\/wp\/v2\/posts\/261","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/statorials.org\/cn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/cn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/cn\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/cn\/wp-json\/wp\/v2\/comments?post=261"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/cn\/wp-json\/wp\/v2\/posts\/261\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/cn\/wp-json\/wp\/v2\/media?parent=261"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/cn\/wp-json\/wp\/v2\/categories?post=261"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/cn\/wp-json\/wp\/v2\/tags?post=261"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}