{"id":3811,"date":"2023-07-15T10:15:03","date_gmt":"2023-07-15T10:15:03","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e5%b9%b3%e6%96%b9%e6%a0%b9\/"},"modified":"2023-07-15T10:15:03","modified_gmt":"2023-07-15T10:15:03","slug":"%e5%b9%b3%e6%96%b9%e6%a0%b9","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e5%b9%b3%e6%96%b9%e6%a0%b9\/","title":{"rendered":"\u7edf\u8ba1\u4e2d\u4f55\u65f6\u4f7f\u7528 s\/sqrt(n)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c\u4f60\u4f1a\u5728\u4e0d\u540c\u7684\u573a\u666f\u4e2d\u9047\u5230\u516c\u5f0f<strong>s\/ <span style=\"text-decoration: overline;\">\u221an<\/span><\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8be5\u516c\u5f0f\u7528\u4e8e\u8ba1\u7b97\u6837\u672c\u5e73\u5747\u503c\u7684\u6807\u51c6\u8bef\u5dee\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5f0f\u4e2d\uff0c <strong>s<\/strong>\u4ee3\u8868\u6837\u672c\u6807\u51c6\u5dee\uff0c <strong>n<\/strong>\u4ee3\u8868\u6837\u672c\u91cf\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u4e2a\u516c\u5f0f\u51fa\u73b0\u5728\u4e24\u4e2a\u7edf\u8ba1\u68c0\u9a8c\u7684\u8ba1\u7b97\u4e2d\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong>\u6837\u672ct\u68c0\u9a8c<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>2.<\/strong>\u603b\u4f53\u5e73\u5747\u503c\u7684\u7f6e\u4fe1\u533a\u95f4<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u793a\u4f8b\u5c55\u793a\u4e86\u5982\u4f55\u5728\u8fd9\u4e24\u79cd\u573a\u666f\u4e2d\u4f7f\u7528<strong>s\/\u221a <span style=\"text-decoration: overline;\">n<\/span><\/strong> \u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u793a\u4f8b 1\uff1a\u5728\u5355\u6837\u672c t \u68c0\u9a8c\u4e2d\u4f7f\u7528 s \/ sqrt(n)<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\"><strong>\u5355\u6837\u672c t \u68c0\u9a8c<\/strong>\u7528\u4e8e\u6d4b\u8bd5<a href=\"https:\/\/statorials.org\/cn\/\u603b\u4f53\u4e0e\u6837\u672c\/\" target=\"_blank\" rel=\"noopener\">\u603b\u4f53<\/a>\u5e73\u5747\u503c\u662f\u5426\u7b49\u4e8e\u67d0\u4e2a\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8ba1\u7b97 t \u68c0\u9a8c\u7edf\u8ba1\u91cf\uff1a<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">t = ( <span style=\"text-decoration: overline;\">X<\/span> \u2013 \u03bc) \/ (s\/ <span style=\"text-decoration: overline;\">\u221an<\/span> )<\/span><\/strong><\/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\u5747\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u03bc <sub>0<\/sub> \uff1a<\/strong>\u5047\u8bbe\u603b\u4f53\u5e73\u5747\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;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u6211\u4eec\u60f3\u8981\u6d4b\u8bd5\u7ed9\u5b9a\u79cd\u7fa4\u4e2d\u6d77\u9f9f\u7684\u5e73\u5747\u91cd\u91cf\u662f\u5426\u7b49\u4e8e 300 \u78c5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u6536\u96c6\u4e86\u4e00\u4e2a<a href=\"https:\/\/statorials.org\/cn\/\u62bd\u6837\u65b9\u6cd5\/\" target=\"_blank\" rel=\"noopener\">\u7b80\u5355\u7684\u6d77\u9f9f\u968f\u673a\u6837\u672c<\/a>\uff0c\u5176\u4e2d\u5305\u542b\u4ee5\u4e0b\u4fe1\u606f\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u6837\u672c\u91cf n = 40<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5e73\u5747\u6837\u672c\u91cd\u91cf<span style=\"text-decoration: overline;\">x<\/span> = 300<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6837\u672c\u6807\u51c6\u5dee s = 18.5<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u5c06\u4f7f\u7528\u4ee5\u4e0b\u5047\u8bbe\u8fdb\u884c\u5355\u6837\u672c t \u68c0\u9a8c\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc = 310\uff08\u603b\u4f53\u5e73\u5747\u503c\u7b49\u4e8e 310 \u672c\u4e66\uff09<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong> \u03bc \u2260 310\uff08\u603b\u4f53\u5e73\u5747\u503c\u4e0d\u7b49\u4e8e 310 \u78c5\uff09<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u9996\u5148\uff0c\u6211\u4eec\u5c06\u8ba1\u7b97\u68c0\u9a8c\u7edf\u8ba1\u91cf\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">t = ( <span style=\"text-decoration: overline;\">x<\/span> \u2013 \u03bc) \/ (s\/ <span style=\"text-decoration: overline;\">\u221an<\/span> ) = (300-310) \/ (18.5\/ <span style=\"text-decoration: overline;\">\u221a40<\/span> ) = -3.4187<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6839\u636e<a href=\"https:\/\/statorials.org\/cn\/t-\u5206\u6570-p-\u503c\u8ba1\u7b97\u5668\/\" target=\"_blank\" rel=\"noopener\">T \u5206\u6570\u5230 P \u503c\u8ba1\u7b97\u5668<\/a>\uff0c\u4e0e t = -3.4817 \u548c\u81ea\u7531\u5ea6 = n-1 = 40-1 = 39 \u76f8\u5173\u7684 p \u503c\u4e3a 0.00149\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u8be5 p \u503c\u5c0f\u4e8e 0.05\uff0c\u56e0\u6b64\u6211\u4eec\u62d2\u7edd\u539f\u5047\u8bbe\u3002\u6211\u4eec\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\u8fd9\u79cd\u6d77\u9f9f\u7684\u5e73\u5747\u4f53\u91cd\u4e0d\u7b49\u4e8e310\u78c5\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u793a\u4f8b 2\uff1a\u5728\u603b\u4f53\u5e73\u5747\u503c\u7684\u7f6e\u4fe1\u533a\u95f4\u4e2d\u4f7f\u7528 s \/ sqrt(n)<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\"><strong>\u603b\u4f53\u5747\u503c\u7684\u7f6e\u4fe1\u533a\u95f4<\/strong>\u662f\u53ef\u80fd\u5305\u542b\u5177\u6709\u4e00\u5b9a\u7f6e\u4fe1\u6c34\u5e73\u7684\u603b\u4f53\u5747\u503c\u7684\u503c\u8303\u56f4\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8ba1\u7b97\u5e73\u5747\u503c\u7684\u7f6e\u4fe1\u533a\u95f4\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7f6e\u4fe1\u533a\u95f4 = <span style=\"text-decoration: overline;\">x<\/span> +\/- t <sub>n-1, 1-\u03b1\/2<\/sub> *(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\u5747\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>t\uff1a<\/strong> t \u4e34\u754c\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;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u6211\u4eec\u8981\u8ba1\u7b97\u7279\u5b9a\u79cd\u7fa4\u4e2d\u6d77\u9f9f\u771f\u5b9e\u5e73\u5747\u4f53\u91cd\u7684\u7f6e\u4fe1\u533a\u95f4\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u6536\u96c6\u4e86\u4e00\u4e2a\u7b80\u5355\u7684\u6d77\u9f9f\u968f\u673a\u6837\u672c\uff0c\u5176\u4e2d\u5305\u542b\u4ee5\u4e0b\u4fe1\u606f\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u6837\u672c\u91cf n = 40<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5e73\u5747\u6837\u672c\u91cd\u91cf<span style=\"text-decoration: overline;\">x<\/span> = 300<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6837\u672c\u6807\u51c6\u5dee s = 18.5<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\u6d77\u9f9f\u79cd\u7fa4\u771f\u5b9e\u5e73\u5747\u4f53\u91cd\u7684 95% \u7f6e\u4fe1\u533a\u95f4\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">95% CI = <span style=\"text-decoration: overline;\">x<\/span> +\/- t <sub>n-1, 1-\u03b1\/2<\/sub> *(s\/\u221a <span style=\"text-decoration: overline;\">n<\/span> )<\/span><\/li>\n<li> <span style=\"color: #000000;\"><span style=\"color: #000000;\">95% CI = 300 +\/- (2.022691) * (18.5\/\u221a <span style=\"text-decoration: overline;\">40<\/span> )<\/span><\/span><\/li>\n<li> <span style=\"color: #000000;\">95% CI = [294.083, 305.917]<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6d77\u9f9f\u79cd\u7fa4\u771f\u5b9e\u5e73\u5747\u4f53\u91cd\u7684 95% \u7f6e\u4fe1\u533a\u95f4\u5728 294,083 \u78c5\u5230 305,917 \u78c5\u4e4b\u95f4\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u6559\u7a0b\u89e3\u91ca\u4e86\u5982\u4f55\u5728\u4e0d\u540c\u8f6f\u4ef6\u4e2d\u8ba1\u7b97\u5e73\u5747\u503c\u7684\u6807\u51c6\u8bef\u5dee\uff1a<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/excel\u6807\u51c6\u8bef\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 Excel \u4e2d\u8ba1\u7b97\u5e73\u5747\u503c\u7684\u6807\u51c6\u8bef\u5dee<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u5747\u503c-r-\u7684\u6807\u51c6\u8bef\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u8ba1\u7b97 R \u4e2d\u5e73\u5747\u503c\u7684\u6807\u51c6\u8bef\u5dee<\/a><br \/> <a href=\"https:\/\/statorials.org\/cn\/python\u5e73\u5747\u503c\u7684\u6807\u51c6\u8bef\u5dee\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728Python\u4e2d\u8ba1\u7b97\u5e73\u5747\u503c\u7684\u6807\u51c6\u8bef\u5dee<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c\u4f60\u4f1a\u5728\u4e0d\u540c\u7684\u573a\u666f\u4e2d\u9047\u5230\u516c\u5f0fs\/ \u221an \u3002 \u8be5\u516c\u5f0f\u7528\u4e8e\u8ba1\u7b97\u6837\u672c\u5e73\u5747\u503c\u7684\u6807\u51c6\u8bef\u5dee\u3002 \u5f0f\u4e2d\uff0c s\u4ee3\u8868\u6837\u672c [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-3811","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u4f55\u65f6\u5728\u7edf\u8ba1\u4e2d\u4f7f\u7528 s\/sqrt(n) - Statorials<\/title>\n<meta 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