{"id":3806,"date":"2023-07-15T10:15:03","date_gmt":"2023-07-15T10:15:03","guid":{"rendered":"https:\/\/statorials.org\/ja\/sqrtn\/"},"modified":"2023-07-15T10:15:03","modified_gmt":"2023-07-15T10:15:03","slug":"sqrtn","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/sqrtn\/","title":{"rendered":"\u7d71\u8a08\u3067 s\/sqrt(n) \u3092\u4f7f\u7528\u3059\u308b\u5834\u5408"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u7d71\u8a08\u3067\u306f\u3001\u3055\u307e\u3056\u307e\u306a\u30b7\u30ca\u30ea\u30aa\u3067<strong>s\/\u221a <span style=\"text-decoration: overline;\">n<\/span>\u3068\u3044\u3046<\/strong>\u5f0f\u306b\u906d\u9047\u3059\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u5f0f\u306f\u3001\u30b5\u30f3\u30d7\u30eb\u5e73\u5747\u306e\u6a19\u6e96\u8aa4\u5dee\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5f0f\u3067\u306f\u3001 <strong>s \u306f<\/strong>\u30b5\u30f3\u30d7\u30eb\u306e\u6a19\u6e96\u504f\u5dee\u3092\u8868\u3057\u3001 <strong>n<\/strong>\u306f\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3092\u8868\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u5f0f\u306f\u30012 \u3064\u306e\u7d71\u8a08\u691c\u5b9a\u306e\u8a08\u7b97\u306b\u73fe\u308c\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong>\u30b5\u30f3\u30d7\u30eb t \u691c\u5b9a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>2.<\/strong>\u6bcd\u96c6\u56e3\u5e73\u5747\u306e\u4fe1\u983c\u533a\u9593<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u4f8b\u306f\u3001\u3053\u308c\u3089 2 \u3064\u306e\u30b7\u30ca\u30ea\u30aa\u3067<strong>s\/\u221a <span style=\"text-decoration: overline;\">n<\/span><\/strong>\u3092\u4f7f\u7528\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u4f8b 1: 1 \u30b5\u30f3\u30d7\u30eb\u306e t \u691c\u5b9a\u3067 s \/ sqrt(n) \u3092\u4f7f\u7528\u3059\u308b<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\"><strong>1 \u30b5\u30f3\u30d7\u30eb t \u691c\u5b9a\u306f\u3001<\/strong> <a href=\"https:\/\/statorials.org\/ja\/\u6bcd\u96c6\u56e3\u3068\u30b5\u30f3\u30d5\u309a\u30eb-1\/\" target=\"_blank\" rel=\"noopener\">\u6bcd\u96c6\u56e3<\/a>\u306e\u5e73\u5747\u304c\u7279\u5b9a\u306e\u5024\u306b\u7b49\u3057\u3044\u304b\u3069\u3046\u304b\u3092\u691c\u5b9a\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066 t \u691c\u5b9a\u7d71\u8a08\u91cf\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/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\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span> :<\/strong>\u30b5\u30f3\u30d7\u30eb\u5e73\u5747<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u03bc <sub>0<\/sub> :<\/strong>\u4eee\u8aac\u4e0a\u306e\u6bcd\u96c6\u56e3\u5e73\u5747<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>s:<\/strong>\u30b5\u30f3\u30d7\u30eb\u306e\u6a19\u6e96\u504f\u5dee<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>n:<\/strong>\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u305f\u3068\u3048\u3070\u3001\u7279\u5b9a\u306e\u96c6\u56e3\u306b\u304a\u3051\u308b\u30ab\u30e1\u306e\u5e73\u5747\u4f53\u91cd\u304c 300 \u30dd\u30f3\u30c9\u306b\u7b49\u3057\u3044\u304b\u3069\u3046\u304b\u3092\u30c6\u30b9\u30c8\u3057\u305f\u3044\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u60c5\u5831\u3092\u542b\u3080 <a href=\"https:\/\/statorials.org\/ja\/\u30b5\u30f3\u30d5\u309a\u30ea\u30f3\u30af\u3099\u65b9\u6cd5\/\" target=\"_blank\" rel=\"noopener\">\u5358\u7d14\u3067\u30e9\u30f3\u30c0\u30e0\u306a\u30ab\u30e1\u306e\u30b5\u30f3\u30d7\u30eb\u3092<\/a>\u53ce\u96c6\u3057\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba n = 40<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5e73\u5747\u30b5\u30f3\u30d7\u30eb\u91cd\u91cf<span style=\"text-decoration: overline;\">x<\/span> = 300<\/span><\/li>\n<li><span style=\"color: #000000;\">\u30b5\u30f3\u30d7\u30eb\u6a19\u6e96\u504f\u5dee s = 18.5<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u4eee\u8aac\u3092\u4f7f\u7528\u3057\u3066 1 \u30b5\u30f3\u30d7\u30eb\u306e t \u691c\u5b9a\u3092\u5b9f\u884c\u3057\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc = 310 (\u6bcd\u96c6\u56e3\u306e\u5e73\u5747\u306f 310 \u518a\u306b\u7b49\u3057\u3044)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong> \u03bc \u2260 310 (\u6bcd\u96c6\u56e3\u5e73\u5747\u306f 310 \u30dd\u30f3\u30c9\u306b\u7b49\u3057\u304f\u3042\u308a\u307e\u305b\u3093)<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u307e\u305a\u3001\u691c\u5b9a\u7d71\u8a08\u91cf\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/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;\"><a href=\"https:\/\/statorials.org\/ja\/t-\u30b9\u30b3\u30a2-p-\u5024\u8a08\u7b97\u6a5f\/\" target=\"_blank\" rel=\"noopener\">P \u5024\u306b\u5bfe\u3059\u308b T \u30b9\u30b3\u30a2\u306e\u8a08\u7b97\u6a5f<\/a>\u306b\u3088\u308b\u3068\u3001t = -3.4817 \u304a\u3088\u3073\u81ea\u7531\u5ea6 = n-1 = 40-1 = 39 \u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f p \u5024\u306f 0.00149 \u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e p \u5024\u306f 0.05 \u672a\u6e80\u3067\u3042\u308b\u305f\u3081\u3001\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3057\u307e\u3059\u3002\u3053\u306e\u30ab\u30e1\u7a2e\u306e\u5e73\u5747\u4f53\u91cd\u304c 310 \u30dd\u30f3\u30c9\u306b\u7b49\u3057\u304f\u306a\u3044\u3068\u3044\u3046\u5341\u5206\u306a\u8a3c\u62e0\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u4f8b 2: \u6bcd\u5e73\u5747\u306e\u4fe1\u983c\u533a\u9593\u3067 s \/ sqrt(n) \u3092\u4f7f\u7528\u3059\u308b<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\"><strong>\u6bcd\u96c6\u56e3\u5e73\u5747\u306e\u4fe1\u983c\u533a\u9593\u306f\u3001<\/strong>\u4e00\u5b9a\u306e\u4fe1\u983c\u30ec\u30d9\u30eb\u3067\u6bcd\u96c6\u56e3\u5e73\u5747\u304c\u542b\u307e\u308c\u308b\u53ef\u80fd\u6027\u304c\u9ad8\u3044\u5024\u306e\u7bc4\u56f2\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u5e73\u5747\u306e\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u4fe1\u983c\u533a\u9593 = <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\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span> :<\/strong>\u30b5\u30f3\u30d7\u30eb\u5e73\u5747<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>t:<\/strong> t \u81e8\u754c\u5024<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>s:<\/strong>\u30b5\u30f3\u30d7\u30eb\u306e\u6a19\u6e96\u504f\u5dee<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>n:<\/strong>\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u305f\u3068\u3048\u3070\u3001\u7279\u5b9a\u306e\u96c6\u56e3\u306b\u304a\u3051\u308b\u30ab\u30e1\u306e\u771f\u306e\u5e73\u5747\u4f53\u91cd\u306e\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3057\u305f\u3044\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u60c5\u5831\u3092\u542b\u3080\u5358\u7d14\u3067\u30e9\u30f3\u30c0\u30e0\u306a\u30ab\u30e1\u306e\u30b5\u30f3\u30d7\u30eb\u3092\u53ce\u96c6\u3057\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba n = 40<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5e73\u5747\u30b5\u30f3\u30d7\u30eb\u91cd\u91cf<span style=\"text-decoration: overline;\">x<\/span> = 300<\/span><\/li>\n<li><span style=\"color: #000000;\">\u30b5\u30f3\u30d7\u30eb\u6a19\u6e96\u504f\u5dee s = 18.5<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u3001\u30ab\u30e1\u500b\u4f53\u7fa4\u306e\u771f\u306e\u5e73\u5747\u4f53\u91cd\u306e 95% \u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">95% CI = <span style=\"text-decoration: overline;\">x<\/span> +\/- t <sub>n-1\u30011-\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;\">\u30ab\u30e1\u500b\u4f53\u7fa4\u306e\u771f\u306e\u5e73\u5747\u4f53\u91cd\u306e 95% \u4fe1\u983c\u533a\u9593\u306f\u3001294,083 \u30dd\u30f3\u30c9\u304b\u3089 305,917 \u30dd\u30f3\u30c9\u306e\u9593\u3067\u3059\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u8ffd\u52a0\u30ea\u30bd\u30fc\u30b9<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001\u3055\u307e\u3056\u307e\u306a\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u3067\u5e73\u5747\u306e\u6a19\u6e96\u8aa4\u5dee\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/ja\/\u30a8\u30af\u30bb\u30eb\u306e\u6a19\u6e96\u30a8\u30e9\u30fc\/\" target=\"_blank\" rel=\"noopener\">Excel \u3067\u5e73\u5747\u306e\u6a19\u6e96\u8aa4\u5dee\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/\u5e73\u5747r\u306e\u6a19\u6e96\u8aa4\u5dee\/\" target=\"_blank\" rel=\"noopener\">R \u306e\u5e73\u5747\u306e\u6a19\u6e96\u8aa4\u5dee\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/python\u5e73\u5747\u306e\u6a19\u6e96\u8aa4\u5dee\/\" target=\"_blank\" rel=\"noopener\">Python\u3067\u5e73\u5747\u5024\u306e\u6a19\u6e96\u8aa4\u5dee\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7d71\u8a08\u3067\u306f\u3001\u3055\u307e\u3056\u307e\u306a\u30b7\u30ca\u30ea\u30aa\u3067s\/\u221a n\u3068\u3044\u3046\u5f0f\u306b\u906d\u9047\u3059\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002 \u3053\u306e\u5f0f\u306f\u3001\u30b5\u30f3\u30d7\u30eb\u5e73\u5747\u306e\u6a19\u6e96\u8aa4\u5dee\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002 \u5f0f\u3067\u306f\u3001 s \u306f\u30b5\u30f3\u30d7\u30eb\u306e\u6a19\u6e96\u504f\u5dee\u3092\u8868\u3057\u3001 n\u306f\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3092\u8868\u3057\u307e\u3059\u3002 \u3053\u306e [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[],"class_list":["post-3806","post","type-post","status-publish","format-standard","hentry","category-16"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u7d71\u8a08\u3067 s\/sqrt(n) \u3092\u4f7f\u7528\u3059\u308b\u5834\u5408 - Statology<\/title>\n<meta name=\"description\" content=\"\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001\u7d71\u8a08\u3067 s\/sqrt(n) 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