{"id":284,"date":"2023-08-03T03:28:35","date_gmt":"2023-08-03T03:28:35","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e5%9d%87%e5%80%bc%e5%b7%ae%e5%bc%82%e7%9a%84%e7%bd%ae%e4%bf%a1%e5%8c%ba%e9%97%b4\/"},"modified":"2023-08-03T03:28:35","modified_gmt":"2023-08-03T03:28:35","slug":"%e5%9d%87%e5%80%bc%e5%b7%ae%e5%bc%82%e7%9a%84%e7%bd%ae%e4%bf%a1%e5%8c%ba%e9%97%b4","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e5%9d%87%e5%80%bc%e5%b7%ae%e5%bc%82%e7%9a%84%e7%bd%ae%e4%bf%a1%e5%8c%ba%e9%97%b4\/","title":{"rendered":"\u5747\u503c\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7edf\u8ba1\u5b66\u4e2d\u5747\u503c\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4\u662f\u4ec0\u4e48\u53ca\u5176\u7528\u9014\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u4e24\u4e2a\u5747\u503c\u4e4b\u5dee\u7684\u7f6e\u4fe1\u533a\u95f4\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-el-intervalo-de-confianza-para-la-diferencia-de-medias\"><\/span>\u5747\u503c\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4\u662f\u591a\u5c11\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u5747\u503c\u5dee\u7684\u7f6e\u4fe1\u533a\u95f4<\/strong>\u662f\u63d0\u4f9b\u6700\u5927\u503c\u548c\u6700\u5c0f\u503c\u7684\u533a\u95f4\uff0c\u5728\u8be5\u6700\u5927\u503c\u548c\u6700\u5c0f\u503c\u4e4b\u95f4\uff0c\u4e24\u4e2a\u603b\u4f53\u7684\u5747\u503c\u5dee\u503c\u5177\u6709\u4e00\u5b9a\u7684\u7f6e\u4fe1\u6c34\u5e73\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u7f6e\u4fe1\u6c34\u5e73\u4e3a 95% \u7684\u4e24\u4e2a\u603b\u4f53\u5747\u503c\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4\u4e3a (3.5)\uff0c\u5219\u8fd9\u610f\u5473\u7740\u4e24\u4e2a\u603b\u4f53\u5747\u503c\u4e4b\u95f4\u7684\u5dee\u5f02\u5c06\u5728 3 \u5230 5 \u4e4b\u95f4\uff0c\u6982\u7387\u4e3a 95 %\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c\u5747\u503c\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4\u7528\u4e8e\u4f30\u8ba1\u4e24\u4e2a\u603b\u4f53\u5747\u503c\u4e4b\u95f4\u7684\u5dee\u5f02\u6240\u5728\u7684\u4e24\u4e2a\u503c\u3002\u56e0\u6b64\uff0c\u4f7f\u7528\u6765\u81ea\u4e24\u4e2a\u6837\u672c\u7684\u6570\u636e\uff0c\u53ef\u4ee5\u8fd1\u4f3c\u4f30\u8ba1\u603b\u4f53\u5e73\u5747\u503c\u4e4b\u95f4\u7684\u5dee\u5f02\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-del-intervalo-de-confianza-para-la-diferencia-de-medias\"><\/span>\u5747\u503c\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5747\u503c\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4\u516c\u5f0f\u53d6\u51b3\u4e8e\u603b\u4f53\u65b9\u5dee\u662f\u5426\u5df2\u77e5\uff0c\u5982\u679c\u672a\u77e5\uff0c\u5219\u662f\u5426\u53ef\u4ee5\u5047\u5b9a\u603b\u4f53\u65b9\u5dee\u76f8\u7b49\u3002 \u3002\u7136\u540e\u6211\u4eec\u5c06\u4e86\u89e3\u5728\u6bcf\u79cd\u60c5\u51b5\u4e0b\u5982\u4f55\u8ba1\u7b97\u5747\u503c\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"varianzas-conocidas\"><\/span>\u5df2\u77e5\u504f\u5dee<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u5f53\u4e24\u4e2a\u603b\u4f53\u7684\u65b9\u5dee\u5df2\u77e5\u4e14\u7f6e\u4fe1\u6c34\u5e73\u4e3a 1-\u03b1 \u65f6\uff0c\u8ba1\u7b97\u5747\u503c\u5dee\u7684\u7f6e\u4fe1\u533a\u95f4\u7684\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-43af3f53a009f90021521508efe8c2a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (\\overline{x_1}-\\overline{x_2})\\pm Z_{\\alpha\/2}\\sqrt{\\frac{\\sigma_1^2}{n_1}+\\frac{\\sigma_2^2}{n_2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"212\" style=\"vertical-align: -20px;\"><\/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-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-6f8ee37ecf97c2a7c7d6dbe8fddddc27_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z_{\\alpha\/2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"34\" style=\"vertical-align: -8px;\"><\/p>\n<p>\u662f\u6982\u7387\u4e3a \u03b1\/2 \u7684\u6807\u51c6\u6b63\u6001\u5206\u5e03\u7684\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-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<\/ul>\n<p>\u8fd9\u79cd\u60c5\u51b5\u662f\u6700\u4e0d\u5e38\u89c1\u7684\uff0c\u56e0\u4e3a\u603b\u4f53\u65b9\u5dee\u7684\u503c\u901a\u5e38\u662f\u672a\u77e5\u7684\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"varianzas-desconocidas-e-iguales\"><\/span>\u672a\u77e5\u4e14\u7b49\u65b9\u5dee<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u5f53\u4e24\u4e2a\u603b\u4f53\u7684\u65b9\u5dee\u672a\u77e5\u4f46\u53ef\u4ee5\u4f30\u8ba1\u76f8\u7b49\u65f6\uff0c\u7f6e\u4fe1\u6c34\u5e73\u4e3a1-\u03b1\u7684\u5747\u503c\u4e4b\u5dee\u7684\u7f6e\u4fe1\u533a\u95f4\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-0534fc597a2d7842c41a47a907c1b185_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (\\overline{x_1}-\\overline{x_2})\\pm t_{\\alpha\/2}s_p\\sqrt{\\frac{1}{n_1}+\\frac{1}{n_2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"222\" style=\"vertical-align: -15px;\"><\/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-db24109a40d5779feee64c7bccc11371_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s_p\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"15\" style=\"vertical-align: -6px;\"><\/p>\n<p>\u662f\u6c47\u603b\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-33bd5d525ddf37600aef97b0c8c08f94_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t_{\\alpha\/2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"29\" style=\"vertical-align: -8px;\"><\/p>\n<p>\u662f n <sub>1<\/sub> + n <sub>2<\/sub> -2 \u81ea\u7531\u5ea6\u7684 Student t \u5206\u5e03\u503c\uff0c\u6982\u7387\u4e3a \u03b1\/2\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<\/ul>\n<p>\u7531\u4e8e\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\u5047\u8bbe\u603b\u4f53\u65b9\u5dee\u76f8\u7b49\uff0c\u56e0\u6b64\u4f7f\u7528\u7ec4\u5408\u6807\u51c6\u5dee\u6765\u8ba1\u7b97\u7f6e\u4fe1\u533a\u95f4\uff0c\u5176\u8ba1\u7b97\u516c\u5f0f\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-a8fb43d179e453d19f5781319aa9e1ad_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle s_p=\\sqrt{\\frac{(n_1-1)s_1^2+(n_2-1)s_2^2}{n_1+n_2-2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"240\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p>\u91d1\u5b50<\/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-2071979c45a4a9e06d8cccc739ffc771_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"13\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u6837\u672c i \u7684\u6807\u51c6\u5dee\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"varianzas-desconocidas-y-diferentes\"><\/span>\u672a\u77e5\u548c\u4e0d\u540c\u7684\u53d8\u5316<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u5f53\u4e24\u4e2a\u603b\u4f53\u7684\u65b9\u5dee\u672a\u77e5\u4e14\u4e0d\u80fd\u5047\u8bbe\u76f8\u7b49\u65f6\uff0c\u7f6e\u4fe1\u6c34\u5e73\u4e3a1-\u03b1\u7684\u5747\u503c\u4e4b\u5dee\u7684\u7f6e\u4fe1\u533a\u95f4\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-ef56281d972a143678514c47fed3690d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (\\overline{x_1}-\\overline{x_2})\\pm t_{\\alpha\/2}\\sqrt{\\frac{s_1^2}{n_1}+\\frac{s_2^2}{n_2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"206\" style=\"vertical-align: -20px;\"><\/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-2071979c45a4a9e06d8cccc739ffc771_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"13\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u6837\u672c 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-33bd5d525ddf37600aef97b0c8c08f94_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t_{\\alpha\/2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"29\" style=\"vertical-align: -8px;\"><\/p>\n<p>\u662f\u6982\u7387\u4e3a \u03b1\/2 \u7684 Student t \u5206\u5e03\u7684\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-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<\/ul>\n<p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0cStudent t \u5206\u5e03\u7684\u81ea\u7531\u5ea6\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\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-ecf1ccfa1ecb47b889c569e5faa65a78_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle GL=\\frac{\\displaystyle\\left(\\frac{s_1^2}{n_1}+\\frac{s_2^2}{n_2}\\right)^2}{\\displaystyle\\frac{\\displaystyle\\frac{s_1^2}{n_1}}{n_1-1}+\\frac{\\displaystyle\\frac{s_2^2}{n_2}}{n_2-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"115\" width=\"180\" style=\"vertical-align: -61px;\"><\/p>\n<\/p>\n<p>\u91d1\u5b50<\/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-2071979c45a4a9e06d8cccc739ffc771_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"13\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u6837\u672c i \u7684\u6807\u51c6\u5dee\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\/\u5e73\u5747\u503c\u7684\u7f6e\u4fe1\u533a\u95f4\/\">\u5747\u503c\u7684\u7f6e\u4fe1\u533a\u95f4\u516c\u5f0f<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-resuelto-del-intervalo-de-confianza-para-la-diferencia-de-medias\"><\/span>\u5747\u503c\u5dee\u5f02\u7f6e\u4fe1\u533a\u95f4\u7684\u5177\u4f53\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u4e86\u89e3\u4e86\u5747\u503c\u5dee\u7684\u7f6e\u4fe1\u533a\u95f4\u7684\u5b9a\u4e49\u4ee5\u53ca\u4e0d\u540c\u7684\u516c\u5f0f\u662f\u4ec0\u4e48\u4e4b\u540e\uff0c\u6211\u4eec\u73b0\u5728\u5c06\u770b\u5230\u4e00\u4e2a\u5177\u4f53\u7684\u793a\u4f8b\u6765\u5b8c\u6210\u5982\u4f55\u8ba1\u7b97\u4e24\u4e2a\u5747\u503c\u5dee\u7684\u7f6e\u4fe1\u533a\u95f4\u3002<\/p>\n<ul>\n<li>\u6211\u4eec\u60f3\u7814\u7a76\u70df\u8349\u5bf9\u513f\u7ae5\u51fa\u751f\u4f53\u91cd\u7684\u5f71\u54cd\u3002\u4e3a\u6b64\uff0c\u9700\u8981\u6bd4\u8f83\u4e24\u4e2a\u6837\u672c\uff1a\u7b2c\u4e00\u4e2a\u6837\u672c\u7531\u6bcd\u4eb2\u4e0d\u5438\u70df\u7684\u513f\u7ae5\u7ec4\u6210\uff0c\u7b2c\u4e8c\u4e2a\u6837\u672c\u7531\u6bcd\u4eb2\u5438\u70df\u7684\u513f\u7ae5\u7ec4\u6210\uff08\u6837\u672c\u53c2\u6570\u5982\u4e0b\u6240\u793a\uff09\u3002\u8ba1\u7b97\u7f6e\u4fe1\u6c34\u5e73\u4e3a 95% \u7684\u5747\u503c\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4\u3002\n<ol>\n<li>\u4e0d\u5438\u70df\u7684\u5988\u5988\u4eec\uff1a\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1493306090541d3c6e01455a25d1fecc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x_1}=3,1 \\ kg \\quad s_1=0,6 \\ kg \\quad n_1=39\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"277\" style=\"vertical-align: -4px;\"><\/p>\n<\/li>\n<li>\u5438\u70df\u7684\u5988\u5988\u4eec\uff1a\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-8b01145787503a21957331cbe3785111_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x_2}=3,5 \\ kg \\quad s_2=0,4 \\ kg\\quad n_2=43\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"277\" style=\"vertical-align: -4px;\"><\/p>\n<\/li>\n<\/ol>\n<\/li>\n<\/ul>\n<p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u4e0d\u77e5\u9053\u603b\u4f53\u65b9\u5dee\u7684\u503c\uff0c\u4f46\u662f\uff0c\u6211\u4eec\u53ef\u4ee5\u5047\u8bbe\u603b\u4f53\u65b9\u5dee\u662f\u76f8\u7b49\u7684\uff0c\u56e0\u4e3a\u6211\u4eec\u6b63\u5728\u5904\u7406\u4e24\u4e2a\u5177\u6709\u975e\u5e38\u76f8\u4f3c\u7279\u5f81\u7684\u603b\u4f53\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5e94\u8be5\u4f7f\u7528\u5747\u503c\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4\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-0534fc597a2d7842c41a47a907c1b185_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (\\overline{x_1}-\\overline{x_2})\\pm t_{\\alpha\/2}s_p\\sqrt{\\frac{1}{n_1}+\\frac{1}{n_2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"222\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u6211\u4eec\u6839\u636e\u4e24\u4e2a\u6837\u672c\u7684\u6807\u51c6\u5dee\u8ba1\u7b97\u7ec4\u5408\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-688958252e9838e7fddc2ddcb9061b01_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\displaystyle s_p&amp;=\\sqrt{\\frac{(n_1-1)s_1^2+(n_2-1)s_2^2}{n_1+n_2-2}}\\\\[2ex]\\displaystyle s_p&amp;=\\sqrt{\\frac{(39-1)\\cdot 0,6^2+(43-1)\\cdot 0,4^2}{39+43-2}}\\\\[2ex]\\displaystyle s_p&amp;=0,50\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"161\" width=\"299\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u540c\u6837\uff0c\u6211\u4eec\u5fc5\u987b\u5728 Student t \u5206\u5e03<a href=\"https:\/\/statorials.org\/cn\/\u5b66\u751ft\u5206\u5e03\u8868\/\">\u7684\u6982\u7387\u5206\u5e03\u8868\u4e2d\u627e\u5230 80 \u81ea\u7531\u5ea6\u7684 Student t \u5206\u5e03\uff0c<\/a>\u6982\u7387\u4e3a 2.5% \u7684\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-776a555edd1d064cf29a3a354caa5325_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1-\\alpha=0,95 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\alpha=0,05 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\ \\alpha\/2=0,025\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"534\" 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-5e4ea90fdc33c9a3d3dab0f1d9d29af0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}t_{\\alpha\/2| n_1+n_2-2}= \\ \\color{orange}\\bm{?}\\\\[4ex]t_{0,025|80}=1,990\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"72\" width=\"184\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u5c06\u6570\u636e\u4ee3\u5165\u5747\u503c\u5dee\u7684\u7f6e\u4fe1\u533a\u95f4\u516c\u5f0f\u4e2d\u5e76\u8fdb\u884c\u8ba1\u7b97\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-0534fc597a2d7842c41a47a907c1b185_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (\\overline{x_1}-\\overline{x_2})\\pm t_{\\alpha\/2}s_p\\sqrt{\\frac{1}{n_1}+\\frac{1}{n_2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"222\" style=\"vertical-align: -15px;\"><\/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-7c0a07bffc585f3c89a19ef1de2fc441_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (3,1-3,5)\\pm 1,990\\cdot 0,5\\cdot\\sqrt{\\frac{1}{39}+\\frac{1}{43}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"285\" style=\"vertical-align: -14px;\"><\/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-4863b308e6ac856e407d75022a40aa23_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle -0,4\\pm 0,22\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"94\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u95ee\u9898\u5747\u503c\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4\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-8e399a671d64c87e8c9deda851850a00_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(-0,61,-0,18)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"117\" style=\"vertical-align: -5px;\"><\/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\/\u5747\u503c\u5dee\u5f02\u7684\u5047\u8bbe\u68c0\u9a8c\/\">\u5747\u503c\u5dee\u5f02\u7684\u5047\u8bbe\u5bf9\u6bd4<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7edf\u8ba1\u5b66\u4e2d\u5747\u503c\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4\u662f\u4ec0\u4e48\u53ca\u5176\u7528\u9014\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u4e24\u4e2a\u5747\u503c\u4e4b\u5dee\u7684\u7f6e\u4fe1\u533a\u95f4\u4ee5\u53ca\u9010\u6b65\u89e3\u51b3\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-284","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\u5dee\u5f02\u7684\u7f6e\u4fe1\u533a\u95f4<\/title>\n<meta name=\"description\" content=\"\u5728\u8fd9\u91cc\u60a8\u5c06\u627e\u5230\u5747\u503c\u5dee\u7684\u7f6e\u4fe1\u533a\u95f4\u662f\u4ec0\u4e48\u3001\u5176\u8ba1\u7b97\u65b9\u5f0f\uff08\u516c\u5f0f\uff09\u4ee5\u53ca\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\" 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