{"id":3233,"date":"2023-07-18T13:34:22","date_gmt":"2023-07-18T13:34:22","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e5%81%87%e8%ae%be%e6%a3%80%e9%aa%8c%e4%b8%8e%e7%bd%ae%e4%bf%a1%e5%8c%ba%e9%97%b4\/"},"modified":"2023-07-18T13:34:22","modified_gmt":"2023-07-18T13:34:22","slug":"%e5%81%87%e8%ae%be%e6%a3%80%e9%aa%8c%e4%b8%8e%e7%bd%ae%e4%bf%a1%e5%8c%ba%e9%97%b4","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e5%81%87%e8%ae%be%e6%a3%80%e9%aa%8c%e4%b8%8e%e7%bd%ae%e4%bf%a1%e5%8c%ba%e9%97%b4\/","title":{"rendered":"\u5047\u8bbe\u68c0\u9a8c\u548c\u7f6e\u4fe1\u533a\u95f4\uff1a\u6709\u4ec0\u4e48\u533a\u522b\uff1f"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u7edf\u8ba1\u5b66\u4e2d\u6700\u5e38\u7528\u7684\u4e24\u4e2a\u8fc7\u7a0b\u662f<a href=\"https:\/\/statorials.org\/cn\/\u5047\u8bbe\u68c0\u9a8c1\/\" target=\"_blank\" rel=\"noopener\">\u5047\u8bbe\u68c0\u9a8c<\/a>\u548c<a href=\"https:\/\/statorials.org\/cn\/\u7f6e\u4fe1\u533a\u95f4-1\/\" target=\"_blank\" rel=\"noopener\">\u7f6e\u4fe1\u533a\u95f4<\/a>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u662f\u4e24\u8005\u4e4b\u95f4\u7684\u533a\u522b\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u5047\u8bbe\u68c0\u9a8c<\/strong>\u662f\u4e00\u79cd\u6b63\u5f0f\u7684\u7edf\u8ba1\u68c0\u9a8c\uff0c\u7528\u4e8e\u786e\u5b9a\u6709\u5173\u603b\u4f53\u53c2\u6570\u7684\u5047\u8bbe\u662f\u5426\u6b63\u786e\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u7f6e\u4fe1\u533a\u95f4<\/strong>\u662f\u53ef\u80fd\u5305\u542b\u5177\u6709\u4e00\u5b9a\u7f6e\u4fe1\u6c34\u5e73\u7684\u603b\u4f53\u53c2\u6570\u7684\u503c\u8303\u56f4\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u7b80\u8981\u6982\u8ff0\u4e86\u6bcf\u79cd\u65b9\u6cd5\u53ca\u5176\u5f02\u540c\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u5047\u8bbe\u68c0\u9a8c\u7684\u57fa\u7840\u77e5\u8bc6<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u68c0\u9a8c\u5047\u8bbe\u7528\u4e8e\u68c0\u9a8c\u5173\u4e8e<a href=\"https:\/\/statorials.org\/cn\/\u7edf\u8ba1\u4e0e\u53c2\u6570\/\" target=\"_blank\" rel=\"noopener\">\u603b\u4f53\u53c2\u6570\u7684<\/a>\u5047\u8bbe\u662f\u5426\u6b63\u786e\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u8fdb\u884c\u73b0\u5b9e\u4e16\u754c\u7684\u5047\u8bbe\u68c0\u9a8c\uff0c\u7814\u7a76\u4eba\u5458\u5c06\u83b7\u5f97\u603b\u4f53\u7684<a href=\"https:\/\/statorials.org\/cn\/\u62bd\u6837\u65b9\u6cd5\/\" target=\"_blank\" rel=\"noopener\">\u968f\u673a\u6837\u672c<\/a>\uff0c\u5e76\u4f7f\u7528\u96f6\u5047\u8bbe\u548c\u5907\u62e9\u5047\u8bbe\u5bf9\u6837\u672c\u6570\u636e\u8fdb\u884c\u5047\u8bbe\u68c0\u9a8c\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u96f6\u5047\u8bbe (H <sub>0<\/sub> )\uff1a<\/strong>\u6837\u672c\u6570\u636e\u4ec5\u6765\u81ea\u5076\u7136\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u5907\u62e9\u5047\u8bbe ( <sub>HA<\/sub> )\uff1a<\/strong>\u6837\u672c\u6570\u636e\u53d7\u5230\u975e\u968f\u673a\u539f\u56e0\u7684\u5f71\u54cd\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5982\u679c\u5047\u8bbe\u68c0\u9a8c\u7684<a href=\"https:\/\/statorials.org\/cn\/p\u503c\u7edf\u8ba1\u663e\u7740\u6027\/\" target=\"_blank\" rel=\"noopener\">p \u503c<\/a>\u4f4e\u4e8e\u4e00\u5b9a\u7684\u663e\u7740\u6027\u6c34\u5e73\uff08\u4f8b\u5982 \u03b1 = 0.05\uff09\uff0c\u90a3\u4e48\u6211\u4eec\u53ef\u4ee5\u62d2\u7edd\u539f\u5047\u8bbe\u5e76\u5f97\u51fa\u7ed3\u8bba\uff1a\u6211\u4eec\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\u5907\u62e9\u5047\u8bbe\u4e3a\u771f\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5047\u8bbe\u68c0\u9a8c\u793a\u4f8b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u4e00\u5bb6\u5236\u9020\u5de5\u5382\u60f3\u8981\u6d4b\u8bd5\u4e00\u79cd\u65b0\u65b9\u6cd5\u662f\u5426\u53ef\u4ee5\u6539\u53d8\u6bcf\u6708\u751f\u4ea7\u7684\u7f3a\u9677\u90e8\u4ef6\u6570\u91cf\uff08\u76ee\u524d\u4e3a 250 \u4e2a\uff09\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u6d4b\u8bd5\u8fd9\u4e00\u70b9\uff0c\u4ed6\u4eec\u53ef\u4ee5\u6d4b\u91cf\u4f7f\u7528\u65b0\u65b9\u6cd5\u4e00\u4e2a\u6708\u4e4b\u524d\u548c\u4e4b\u540e\u751f\u4ea7\u7684\u6709\u7f3a\u9677\u7684\u5c0f\u90e8\u4ef6\u7684\u5e73\u5747\u6570\u91cf\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ed6\u4eec\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u5047\u8bbe\u8fdb\u884c\u5047\u8bbe\u68c0\u9a8c\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc <sub>after<\/sub> = \u03bc <sub>before<\/sub> \uff08\u4f7f\u7528\u65b0\u65b9\u6cd5\u524d\u540e\u5e73\u5747\u7f3a\u9677\u90e8\u4ef6\u6570\u76f8\u540c\uff09<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong> \u03bc <sub>after<\/sub> \u2260 \u03bc <sub>before<\/sub> (\u4f7f\u7528\u65b0\u65b9\u6cd5\u4e4b\u524d\u548c\u4e4b\u540e\u751f\u4ea7\u7684\u7f3a\u9677\u90e8\u4ef6\u7684\u5e73\u5747\u6570\u91cf\u4e0d\u540c)<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u4ed6\u4eec\u8fd0\u884c<a href=\"https:\/\/statorials.org\/cn\/\u6837\u672c-t-\u68c0\u9a8c\/\" target=\"_blank\" rel=\"noopener\">\u5355\u6837\u672c t \u68c0\u9a8c<\/a>\u5e76\u5f97\u5230 p \u503c\u4e3a 0.0032\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u8be5 p \u503c\u5c0f\u4e8e \u03b1 = 0.05\uff0c\u56e0\u6b64\u5de5\u5382\u53ef\u4ee5\u62d2\u7edd\u96f6\u5047\u8bbe\u5e76\u5f97\u51fa\u7ed3\u8bba\uff1a\u65b0\u65b9\u6cd5\u4f1a\u5bfc\u81f4\u6bcf\u6708\u751f\u4ea7\u7684\u7f3a\u9677\u90e8\u4ef6\u6570\u91cf\u53d1\u751f\u53d8\u5316\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u7f6e\u4fe1\u533a\u95f4\u7684\u57fa\u7840\u77e5\u8bc6<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u7f6e\u4fe1\u533a\u95f4\u662f\u53ef\u80fd\u5305\u542b\u5177\u6709\u4e00\u5b9a\u7f6e\u4fe1\u6c34\u5e73\u7684\u603b\u4f53\u53c2\u6570\u7684\u503c\u8303\u56f4\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u8ba1\u7b97\u73b0\u5b9e\u4e16\u754c\u7684\u7f6e\u4fe1\u533a\u95f4\uff0c\u7814\u7a76\u4eba\u5458\u5c06\u83b7\u5f97\u603b\u4f53\u7684<a href=\"https:\/\/statorials.org\/cn\/\u62bd\u6837\u65b9\u6cd5\/\" target=\"_blank\" rel=\"noopener\">\u968f\u673a\u6837\u672c<\/a>\uff0c\u5e76\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\u603b\u4f53\u5e73\u5747\u503c\u7684\u7f6e\u4fe1\u533a\u95f4\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7f6e\u4fe1\u533a\u95f4 =<\/strong> <strong><span style=\"text-decoration: overline;\">x<\/span> +\/- z*(s\/\u221a <span style=\"text-decoration: overline;\">n<\/span> )<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span> \uff1a<\/strong>\u6837\u672c\u5e73\u5747\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>z\uff1a<\/strong>\u9009\u62e9\u7684z\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>s\uff1a<\/strong>\u6837\u672c\u6807\u51c6\u5dee<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>n\uff1a<\/strong>\u6837\u672c\u91cf<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u60a8\u4f7f\u7528\u7684 z \u503c\u53d6\u51b3\u4e8e\u60a8\u9009\u62e9\u7684\u7f6e\u4fe1\u6c34\u5e73\u3002\u4e0b\u8868\u663e\u793a\u4e86\u4e0e\u6700\u5e38\u89c1\u7684\u7f6e\u4fe1\u6c34\u5e73\u9009\u62e9\u76f8\u5bf9\u5e94\u7684 z \u503c\uff1a<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"><span style=\"color: #000000;\"><strong>\u4e00\u5b9a\u7a0b\u5ea6\u7684\u4fe1\u5fc3<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"><span style=\"color: #000000;\"><strong>z\u503c<\/strong><\/span><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">0.90<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1,645<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0.95<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1.96<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0.99<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">2.58<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3><span style=\"color: #000000;\"><strong>\u7f6e\u4fe1\u533a\u95f4\u793a\u4f8b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u4e00\u4f4d\u751f\u7269\u5b66\u5bb6\u60f3\u8981\u4f30\u8ba1\u67d0\u4e2a\u79cd\u7fa4\u4e2d\u6d77\u9f9f\u7684\u5e73\u5747\u91cd\u91cf\uff0c\u5979\u968f\u673a\u6536\u96c6\u4e86\u5305\u542b\u4ee5\u4e0b\u4fe1\u606f\u7684\u6d77\u9f9f\u6837\u672c\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u6837\u672c\u91cf<strong>n = 25<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">\u5e73\u5747\u6837\u672c\u91cd\u91cf<strong><span style=\"text-decoration: overline;\">x<\/span><\/strong> <strong>= 300<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">\u6837\u672c\u6807\u51c6\u5dee<strong>s = 18.5<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u662f\u8ba1\u7b97\u771f\u5b9e\u603b\u4f53\u5e73\u5747\u4f53\u91cd\u7684 90% \u7f6e\u4fe1\u533a\u95f4\u7684\u65b9\u6cd5\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>90% \u7f6e\u4fe1\u533a\u95f4\uff1a<\/strong> 300 +\/- 1.645*(18.5\/\u221a25) = <strong>[293.91, 306.09]<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u751f\u7269\u5b66\u5bb6\u53ef\u4ee5 90% \u786e\u5b9a\u8be5\u79cd\u7fa4\u4e2d\u6d77\u9f9f\u7684\u5b9e\u9645\u5e73\u5747\u4f53\u91cd\u5728 293.1 \u78c5\u5230 306.09 \u78c5\u4e4b\u95f4\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u5047\u8bbe\u68c0\u9a8c\u4e0e\u7f6e\u4fe1\u533a\u95f4\uff1a\u4f55\u65f6\u4f7f\u7528\u4e24\u8005<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u4f7f\u7528\u5047\u8bbe\u68c0\u9a8c\u6216\u7f6e\u4fe1\u533a\u95f4\u7684\u51b3\u5b9a\u53d6\u51b3\u4e8e\u60a8\u8981\u56de\u7b54\u7684\u95ee\u9898\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5f53\u60a8\u60f3\u8981\u4f30\u8ba1\u603b\u4f53\u53c2\u6570\u7684\u503c\u65f6\uff0c\u5fc5\u987b\u4f7f\u7528<strong>\u7f6e\u4fe1\u533a\u95f4<\/strong>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5f53\u60a8\u60f3\u8981\u786e\u5b9a\u6709\u5173\u603b\u4f53\u53c2\u6570\u7684\u5047\u8bbe\u662f\u5426\u53ef\u80fd\u4e3a\u771f\u65f6\uff0c\u60a8\u5e94\u8be5\u4f7f\u7528<strong>\u5047\u8bbe\u68c0\u9a8c<\/strong>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8981\u6d4b\u8bd5\u60a8\u5bf9\u4f55\u65f6\u4f7f\u7528\u6bcf\u4e2a\u8fc7\u7a0b\u7684\u4e86\u89e3\uff0c\u8bf7\u8003\u8651\u4ee5\u4e0b\u573a\u666f\u3002<\/span><\/p>\n<h3><strong><span style=\"color: #000000;\">\u573a\u666f 1\uff1a\u5b66\u4e60\u65f6\u95f4<\/span><\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u4e00\u4f4d\u5927\u5b66\u7814\u7a76\u4eba\u5458\u60f3\u8981\u6d4b\u91cf\u5b66\u751f\u6bcf\u5468\u5e73\u5747\u5b66\u4e60\u7684\u65f6\u95f4\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5979\u5e94\u8be5\u7528\u4ec0\u4e48\u7a0b\u5e8f\u6765\u56de\u7b54\u8fd9\u4e2a\u95ee\u9898\uff1f<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5979\u5e94\u8be5\u4f7f\u7528<strong>\u7f6e\u4fe1\u533a\u95f4<\/strong>\uff0c\u56e0\u4e3a\u5979\u60f3\u8981\u4f30\u8ba1\u603b\u4f53\u53c2\u6570\u7684\u503c\u3002<\/span><\/p>\n<h3><strong><span style=\"color: #000000;\">\u573a\u666f2\uff1a\u65b0\u836f<\/span><\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u4e00\u4f4d\u533b\u751f\u60f3\u8981\u6d4b\u8bd5\u4e00\u79cd\u65b0\u836f\u662f\u5426\u80fd\u591f\u6bd4\u76ee\u524d\u7684\u6807\u51c6\u836f\u7269\u66f4\u6709\u6548\u5730\u964d\u4f4e\u8840\u538b\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ed6\u5e94\u8be5\u7528\u4ec0\u4e48\u7a0b\u5e8f\u6765\u56de\u7b54\u8fd9\u4e2a\u95ee\u9898\uff1f<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ed6\u5e94\u8be5\u4f7f\u7528<strong>\u5047\u8bbe\u68c0\u9a8c\uff0c<\/strong>\u56e0\u4e3a\u4ed6\u60f3\u4e86\u89e3\u6709\u5173\u603b\u4f53\u53c2\u6570\u7684\u7279\u5b9a\u5047\u8bbe\u662f\u5426\u6b63\u786e\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u6559\u7a0b\u63d0\u4f9b\u6709\u5173<strong>\u5047\u8bbe\u68c0\u9a8c\u7684<\/strong>\u66f4\u591a\u4fe1\u606f\uff1a<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/\u5047\u8bbe\u68c0\u9a8c1\/\" target=\"_blank\" rel=\"noopener\">\u5047\u8bbe\u68c0\u9a8c\u7b80\u4ecb<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u6837\u672c-t-\u68c0\u9a8c\/\" target=\"_blank\" rel=\"noopener\">\u5355\u6837\u672c t \u68c0\u9a8c\u7b80\u4ecb<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u6d4b\u8bd5\u4f60\u7684\u4e24\u4e2a\u6837\u672c\/\" target=\"_blank\" rel=\"noopener\">\u53cc\u6837\u672c t \u68c0\u9a8c\u7b80\u4ecb<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u914d\u5bf9\u6837\u672ct\u68c0\u9a8c\/\" target=\"_blank\" rel=\"noopener\">\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\u7b80\u4ecb<\/a><\/p>\n<p><span style=\"color: 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