{"id":280,"date":"2023-08-03T05:03:01","date_gmt":"2023-08-03T05:03:01","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e5%9d%87%e5%80%bc%e5%b7%ae%e7%9a%84%e6%8a%bd%e6%a0%b7%e5%88%86%e5%b8%83\/"},"modified":"2023-08-03T05:03:01","modified_gmt":"2023-08-03T05:03:01","slug":"%e5%9d%87%e5%80%bc%e5%b7%ae%e7%9a%84%e6%8a%bd%e6%a0%b7%e5%88%86%e5%b8%83","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e5%9d%87%e5%80%bc%e5%b7%ae%e7%9a%84%e6%8a%bd%e6%a0%b7%e5%88%86%e5%b8%83\/","title":{"rendered":"\u5747\u503c\u5dee\u7684\u62bd\u6837\u5206\u5e03"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7edf\u8ba1\u5b66\u4e2d\u4e24\u4e2a\u5747\u503c\u4e4b\u5dee\u7684\u62bd\u6837\u5206\u5e03\u662f\u4ec0\u4e48\u3002\u60a8\u8fd8\u5c06\u627e\u5230\u5747\u503c\u5dee\u7684\u62bd\u6837\u5206\u5e03\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-distribucion-muestral-de-la-diferencia-de-medias\"><\/span>\u5747\u503c\u5dee\u7684\u62bd\u6837\u5206\u5e03\u662f\u600e\u6837\u7684\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u5747\u503c\u5dee\u5f02\u7684\u62bd\u6837\u5206\u5e03<\/strong>\u662f\u901a\u8fc7\u8ba1\u7b97\u4e24\u4e2a\u4e0d\u540c\u603b\u4f53\u7684\u6240\u6709\u53ef\u80fd\u6837\u672c\u7684\u5747\u503c\u4e4b\u95f4\u7684\u5dee\u5f02\u800c\u5f97\u5230\u7684\u5206\u5e03\u3002<\/p>\n<p>\u4e5f\u5c31\u662f\u8bf4\uff0c\u4e3a\u4e86\u83b7\u5f97\u5747\u503c\u5dee\u5f02\u7684\u62bd\u6837\u5206\u5e03\uff0c\u5fc5\u987b\u4ece\u4e24\u4e2a\u7814\u7a76\u603b\u4f53\u4e2d\u9009\u62e9\u6240\u6709\u53ef\u80fd\u7684\u6837\u672c\uff0c\u7136\u540e\u8ba1\u7b97\u6bcf\u4e2a\u6240\u9009\u6837\u672c\u7684\u5747\u503c\uff0c\u6700\u540e\u8ba1\u7b97\u4e24\u4e2a\u603b\u4f53\u7684\u6240\u6709\u5747\u503c\u4e4b\u95f4\u7684\u5dee\u3002\u56e0\u6b64\uff0c\u5e94\u7528\u6240\u6709\u8fd9\u4e9b\u64cd\u4f5c\u540e\u83b7\u5f97\u7684\u503c\u7684\u96c6\u5408\u5f62\u6210\u4e86\u5747\u503c\u5dee\u7684\u62bd\u6837\u5206\u5e03\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/distribution-de-lechantillon-de-la-difference-de-moyennes.png\" alt=\"\u5747\u503c\u5dee\u7684\u62bd\u6837\u5206\u5e03\" class=\"wp-image-5927\" width=\"561\" height=\"237\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u5747\u503c\u62bd\u6837\u5206\u5e03\u5dee\u7528\u4e8e\u8ba1\u7b97\u4ece\u4e24\u4e2a\u4e0d\u540c\u603b\u4f53\u4e2d<a href=\"https:\/\/statorials.org\/cn\/\u6837\u672c\u5e73\u5747\u503c\/\">\u968f\u673a\u9009\u53d6\u7684\u6837\u672c\u7684<\/a>\u4e24\u4e2a\u5747\u503c\u4e4b\u5dee\u63a5\u8fd1\u603b\u4f53\u5747\u503c\u4e4b\u5dee\u7684\u6982\u7387\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>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u5747\u503c\u7684\u62bd\u6837\u5206\u5e03\/\">\u5747\u503c\u7684\u62bd\u6837\u5206\u5e03<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-distribucion-muestral-de-la-diferencia-de-medias\"><\/span>\u5747\u503c\u5dee\u7684\u62bd\u6837\u5206\u5e03\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5982\u679c\u6837\u672c\u91cf\u8db3\u591f\u5927\uff08n <sub>1<\/sub> \u226530\u4e14n <sub>2<\/sub> \u226530\uff09\uff0c\u5747\u503c\u5dee\u7684\u62bd\u6837\u5206\u5e03\u670d\u4ece\u6b63\u6001\u5206\u5e03\u3002\u66f4\u51c6\u786e\u5730\u8bf4\uff0c\u6240\u8ff0\u5206\u5e03\u7684\u53c2\u6570\u8ba1\u7b97\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-90c67b74b4e9326b7869d641a59725d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\displaystyle \\mu_{\\overline{x_1}-\\overline{x_2}}=\\mu_1-\\mu_2 \\qquad \\sigma_{\\overline{x_1}-\\overline{x_2}}=\\sqrt{\\frac{\\sigma_1^2}{n_1}+\\frac{\\sigma_2^2}{n_2}}\\\\[6ex]\\displaystyle N_{\\overline{x_1}-\\overline{x_2}}\\left(\\mu_1-\\mu_2, \\sqrt{\\frac{\\sigma_1^2}{n_1}+\\frac{\\sigma_2^2}{n_2}}\\right) \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"151\" width=\"328\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p><strong>\u6ce8\u610f\uff1a<\/strong>\u5982\u679c\u4e24\u4e2a\u603b\u4f53\u90fd\u662f<a href=\"https:\/\/statorials.org\/cn\/\u6b63\u6001\u5206\u5e03\/\">\u6b63\u6001\u5206\u5e03<\/a>\uff0c\u5219\u65e0\u8bba\u6837\u672c\u5927\u5c0f\u5982\u4f55\uff0c\u5747\u503c\u5dee\u7684\u62bd\u6837\u5206\u5e03\u90fd\u9075\u5faa\u6b63\u6001\u5206\u5e03\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u7531\u4e8e\u5747\u503c\u5dee\u7684\u62bd\u6837\u5206\u5e03\u662f\u7531\u6b63\u6001\u5206\u5e03\u5b9a\u4e49\u7684\uff0c<strong>\u56e0\u6b64\u5747\u503c\u5dee\u7684\u62bd\u6837\u5206\u5e03\u7edf\u8ba1\u91cf\u7684\u8ba1\u7b97\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-767964a3f07b303178ee08ec191eef43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z=\\cfrac{(\\overline{x_1}-\\overline{x_2})-(\\mu_1-\\mu_2)}{\\displaystyle\\sqrt{\\frac{\\sigma_1^2}{n_1}+\\frac{\\sigma_2^2}{n_2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"80\" width=\"203\" style=\"vertical-align: -52px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\">\u91d1\u5b50\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a4071a38558726a684ed069430c89fe2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u6837\u672c i \u7684\u5e73\u5747\u503c\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-78e04dacbf6a47efcbdcc0417020dcbb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u662f\u603b\u4f53 i \u7684\u5e73\u5747\u503c\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-dc8c8f782c0ed8b7925012b60e174fa3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u603b\u4f53 i \u7684\u6807\u51c6\u5dee\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5f087375b50e0b49186779714206626b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u6837\u672c\u5927\u5c0f i\u3002<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0be116875001706f29a24434bd0d91c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u7531\u6807\u51c6\u6b63\u6001\u5206\u5e03 N(0,1) \u5b9a\u4e49\u7684\u53d8\u91cf\u3002<\/li>\n<\/ul>\n<p>\u8bf7\u6ce8\u610f\uff0c\u6765\u81ea\u4e0d\u540c\u4eba\u7fa4\u7684\u6837\u672c\u53ef\u80fd\u5177\u6709\u4e0d\u540c\u7684\u6837\u672c\u91cf\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-resuelto-de-la-distribucion-muestral-de-la-diferencia-de-medias\"><\/span>\u5747\u503c\u5dee\u7684\u62bd\u6837\u5206\u5e03\u7684\u5177\u4f53\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e00\u65e6\u6211\u4eec\u4e86\u89e3\u4e86\u5747\u503c\u62bd\u6837\u5206\u5e03\u4e4b\u5dee\u7684\u5b9a\u4e49\u53ca\u5176\u516c\u5f0f\u662f\u4ec0\u4e48\uff0c\u6211\u4eec\u5c06\u901a\u8fc7\u4e00\u4e2a\u9010\u6b65\u7684\u793a\u4f8b\u6765\u5b8c\u6210\u5bf9\u5747\u503c\u62bd\u6837\u5206\u5e03\u4e4b\u5dee\u7684\u6982\u5ff5\u7684\u7406\u89e3\u3002<\/p>\n<ul>\n<li>\u5728\u7edf\u8ba1\u7814\u7a76\u4e2d\uff0c\u6211\u4eec\u60f3\u8981\u5206\u6790\u7279\u5b9a\u5e74\u9f84\u7684\u7537\u5b69\u548c\u5973\u5b69\u7684\u8eab\u9ad8\u5dee\u5f02\u3002\u6211\u4eec\u77e5\u9053\uff0c\u5b9a\u4e49\u8be5\u5e74\u9f84\u6bb5\u7537\u5b69\u4eba\u53e3\u7684\u5206\u5e03\u7684\u5e73\u5747\u503c\u4e3a 157 \u5398\u7c73\uff0c\u6807\u51c6\u5dee\u4e3a 9 \u5398\u7c73\uff0c\u53e6\u4e00\u65b9\u9762\uff0c\u5b9a\u4e49\u8be5\u5e74\u9f84\u6bb5\u5973\u5b69\u4eba\u53e3\u7684\u5206\u5e03\u7684\u5e73\u5747\u503c\u4e3a 148 \u5398\u7c73\u5398\u7c73\uff0c\u6807\u51c6\u5dee\u4e3a 7 \u5398\u7c73\u3002\u5982\u679c\u9009\u53d630\u4e2a\u8fd9\u4e2a\u5e74\u9f84\u6bb5\u7684\u7537\u5b69\u6837\u672c\u548c35\u4e2a\u8fd9\u4e2a\u5e74\u9f84\u6bb5\u7684\u5973\u5b69\u6837\u672c\uff0c\u90a3\u4e48\u7537\u5b69\u6837\u672c\u7684\u5e73\u5747\u8eab\u9ad8\u6bd4\u5973\u5b69\u6837\u672c\u7684\u5e73\u5747\u8eab\u9ad8\u592712\u5398\u7c73\u7684\u6982\u7387\u662f\u591a\u5c11\uff1f<\/li>\n<\/ul>\n<p>\u8981\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\uff0c\u9996\u5148\u8981\u505a\u7684\u662f\u8ba1\u7b97\u5747\u503c\u62bd\u6837\u5206\u5e03\u4e4b\u5dee\u7684\u7edf\u8ba1\u91cf\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5e94\u7528\u4e0a\u9762\u7684\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-3897bf456851ccd8de2c501bd779dd02_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z=\\cfrac{(\\overline{x_1}-\\overline{x_2})-(\\mu_1-\\mu_2)}{\\displaystyle\\sqrt{\\frac{\\sigma_1^2}{n_1}+\\frac{\\sigma_2^2}{n_2}}\\right)}=\\cfrac{12-(157-148)}{\\displaystyle\\sqrt{\\frac{9^2}{30}+\\frac{7^2}{35}}}=1,48\" title=\"Rendered by QuickLaTeX.com\" height=\"80\" width=\"415\" style=\"vertical-align: -52px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u7537\u751f\u5e73\u5747\u6837\u672c\u8eab\u9ad8\u6bd4\u5973\u751f\u5e73\u5747\u8eab\u9ad8\u592712\u5398\u7c73\u7684\u6982\u7387\u76f8\u5f53\u4e8eZ\u53d8\u91cf\u5927\u4e8e1.48\u7684\u6982\u7387\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-683cd2a72980115d8d18c906d619370a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[(\\overline{x_1}-\\overline{x_2})>12]=P[Z>1,48]&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;19&#8243; width=&#8221;253&#8243; style=&#8221;vertical-align: -5px;&#8221;><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u6211\u4eec\u5728<a href=\"https:\/\/statorials.org\/cn\/\u6b63\u6001\u5206\u5e03\u8868\/\">Z \u8868<\/a>\u4e2d\u67e5\u627e Z&gt;1.48 \u7684\u6982\u7387\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-5b83fdc11bd2320249679c4752660451_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[(\\overline{x_1}-\\overline{x_2})>12]=P[Z>1,48]=0,0694&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;19&#8243; width=&#8221;331&#8243; style=&#8221;vertical-align: -5px;&#8221;><\/p>\n<\/p>\n<p>\u7b80\u800c\u8a00\u4e4b\uff0c\u7537\u751f\u5e73\u5747\u6837\u672c\u8eab\u9ad8\u6bd4\u5973\u751f\u5e73\u5747\u8eab\u9ad8\u592712\u5398\u7c73\u7684\u6982\u7387\u4e3a6.94%\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7edf\u8ba1\u5b66\u4e2d\u4e24\u4e2a\u5747\u503c\u4e4b\u5dee\u7684\u62bd\u6837\u5206\u5e03\u662f\u4ec0\u4e48\u3002\u60a8\u8fd8\u5c06\u627e\u5230\u5747\u503c\u5dee\u7684\u62bd\u6837\u5206\u5e03\u516c\u5f0f\uff0c\u4ee5\u53ca\u9010\u6b65\u89e3\u51b3\u7684\u7ec3\u4e60\u3002 \u5747\u503c\u5dee\u7684 [&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-280","post","type-post","status-publish","format-standard","hentry","category-14"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - 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