{"id":1395,"date":"2023-07-26T13:29:57","date_gmt":"2023-07-26T13:29:57","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e6%ad%a3%e8%a6%8f%e8%bf%91%e4%bc%bc\/"},"modified":"2023-07-26T13:29:57","modified_gmt":"2023-07-26T13:29:57","slug":"%e6%ad%a3%e8%a6%8f%e8%bf%91%e4%bc%bc","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e6%ad%a3%e8%a6%8f%e8%bf%91%e4%bc%bc\/","title":{"rendered":"\u6b63\u898f\u4e8c\u9805\u8fd1\u4f3c: \u5b9a\u7fa9\u3068\u4f8b"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ja\/\u30e9\u30f3\u30bf\u3099\u30e0\u5909\u6570\/\" target=\"_blank\" rel=\"noopener\">_<\/a> <a href=\"https:\/\/statorials.org\/ja\/\u4e8c\u9805\u5206\u5e03-1\/\" target=\"_blank\" rel=\"noopener\">_<\/a> <em>_<\/em> <em>_<\/em><em>\u306e<\/em><em>\u5834\u5408<\/em><\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u03bc = np<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03c3 = \u221a <span style=\"border-top: 1px solid black;\">np(1-p)<\/span><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><em>n<\/em>\u304c\u5341\u5206\u306b\u5927\u304d\u3044\u5834\u5408\u3001<a href=\"https:\/\/statorials.org\/ja\/\u6b63\u898f\u5206\u5e03-1\/\" target=\"_blank\" rel=\"noopener\">\u6b63\u898f\u5206\u5e03<\/a>\u3092\u4f7f\u7528\u3057\u3066\u4e8c\u9805\u5206\u5e03\u306b\u95a2\u9023\u3059\u308b\u78ba\u7387\u3092\u8fd1\u4f3c\u3067\u304d\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u3001<strong>\u6b63\u898f\u4e8c\u9805\u8fd1\u4f3c<\/strong>\u3068\u547c\u3070\u308c\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>n<\/em>\u304c\u300c\u5341\u5206\u306b\u5927\u304d\u3044\u300d\u305f\u3081\u306b\u306f\u3001\u6b21\u306e\u57fa\u6e96\u3092\u6e80\u305f\u3057\u3066\u3044\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">np \u2267 5<\/span><\/li>\n<li> <span style=\"color: #000000;\">n(1-p) \u2265 5<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4e21\u65b9\u306e\u57fa\u6e96\u304c\u6e80\u305f\u3055\u308c\u308b\u5834\u5408\u3001\u6b63\u898f\u5206\u5e03\u3092\u4f7f\u7528\u3057\u3066\u3001\u4e8c\u9805\u5206\u5e03\u306b\u95a2\u9023\u3059\u308b\u78ba\u7387\u306e\u8cea\u554f\u306b\u7b54\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u305f\u3060\u3057\u3001\u6b63\u898f\u5206\u5e03\u306f\u9023\u7d9a\u78ba\u7387\u5206\u5e03\u3067\u3042\u308b\u306e\u306b\u5bfe\u3057\u3001\u4e8c\u9805\u5206\u5e03\u306f\u96e2\u6563\u78ba\u7387\u5206\u5e03\u3067\u3042\u308b\u305f\u3081\u3001\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u969b\u306b\u306f\u9023\u7d9a\u6027\u88dc\u6b63\u3092\u9069\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7c21\u5358\u306b\u8a00\u3046\u3068\u3001<strong>\u9023\u7d9a\u6027\u88dc\u6b63\u3068<\/strong>\u306f\u3001\u96e2\u6563 x \u5024\u306b 0.5 \u3092\u52a0\u7b97\u307e\u305f\u306f\u6e1b\u7b97\u3059\u308b\u3053\u3068\u3092\u6307\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u305f\u3068\u3048\u3070\u3001\u30b3\u30a4\u30f3\u3092 100 \u56de\u6295\u3052\u308b\u9593\u306b\u3001\u30b3\u30a4\u30f3\u304c 45 \u56de\u4ee5\u4e0b\u3067\u8868\u306b\u306a\u308b\u78ba\u7387\u3092\u6c42\u3081\u305f\u3044\u3068\u3057\u307e\u3059\u3002\u3064\u307e\u308a\u3001P(X \u2264 45) \u3092\u898b\u3064\u3051\u305f\u3044\u306e\u3067\u3059\u3002\u6b63\u898f\u5206\u5e03\u3092\u4f7f\u7528\u3057\u3066\u4e8c\u9805\u5206\u5e03\u3092\u8fd1\u4f3c\u3059\u308b\u306b\u306f\u3001\u4ee3\u308f\u308a\u306b P(X \u2264 45.5) \u3092\u898b\u3064\u3051\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u8868\u306f\u3001\u691c\u7d22\u3057\u3088\u3046\u3068\u3057\u3066\u3044\u308b\u78ba\u7387\u306e\u30bf\u30a4\u30d7\u306b\u5fdc\u3058\u3066\u3001\u3044\u3064 0.5 \u3092\u52a0\u7b97\u307e\u305f\u306f\u6e1b\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u304b\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th><span style=\"color: #000000;\"><strong>\u4e8c\u9805\u5206\u5e03\u3092\u4f7f\u7528\u3059\u308b<\/strong><\/span><\/th>\n<th><span style=\"color: #000000;\"><strong>\u9023\u7d9a\u6027\u88dc\u6b63\u3092\u4f34\u3046\u6b63\u898f\u5206\u5e03\u306e\u4f7f\u7528<\/strong><\/span><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">X = 45<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">44.5 &lt; X &lt; 45.5<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">X \u2264 45<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">X &lt; 45.5<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">X &lt; 45<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">X &lt; 44.5<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">X \u2265 45<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">X &gt; 44.5<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">X &gt; 45<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">X &gt; 45.5<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u6bb5\u968e\u7684\u306a\u4f8b\u306f\u3001\u6b63\u898f\u5206\u5e03\u3092\u4f7f\u7528\u3057\u3066\u4e8c\u9805\u5206\u5e03\u3092\u8fd1\u4f3c\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f8b: \u4e8c\u9805\u5f0f\u306e\u6b63\u898f\u8fd1\u4f3c<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u30b3\u30a4\u30f3\u3092 100 \u56de\u6295\u3052\u3066 43 \u56de\u4ee5\u4e0b\u3067\u8868\u304c\u51fa\u308b\u78ba\u7387\u3092\u77e5\u308a\u305f\u3044\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u72b6\u6cc1\u3067\u306f\u3001\u6b21\u306e\u5024\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n<\/strong> (\u8a66\u884c\u56de\u6570) = 100<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>X<\/strong> (\u6210\u529f\u6570) = 43<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>p<\/strong> (\u7279\u5b9a\u306e\u8a66\u884c\u3067\u306e\u6210\u529f\u78ba\u7387) = 0.50<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u30b3\u30a4\u30f3\u304c\u8868\u306b\u306a\u308b\u78ba\u7387\u304c 43 \u56de\u4ee5\u4e0b\u306b\u306a\u308b\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u624b\u9806\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 1: \u30b5\u30f3\u30d7\u30eb \u30b5\u30a4\u30ba\u304c\u6b63\u898f\u8fd1\u4f3c\u3092\u4f7f\u7528\u3059\u308b\u306e\u306b\u5341\u5206\u306a\u5927\u304d\u3055\u3067\u3042\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u307e\u305a\u6700\u521d\u306b\u3001\u6b21\u306e\u57fa\u6e96\u304c\u6e80\u305f\u3055\u308c\u3066\u3044\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">np \u2267 5<\/span><\/li>\n<li> <span style=\"color: #000000;\">n(1-p) \u2265 5<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3053\u306e\u5834\u5408\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">np = 100*0.5 = 50<\/span><\/li>\n<li> <span style=\"color: #000000;\">n(1-p) = 100*(1 \u2013 0.5) = 100*0.5 = 50<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3069\u3061\u3089\u306e\u6570\u5024\u3082 5 \u3088\u308a\u5927\u304d\u3044\u305f\u3081\u3001\u6b63\u898f\u306e\u8fd1\u4f3c\u3092\u5b89\u5168\u306b\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 2: \u9069\u7528\u3059\u308b\u9023\u7d9a\u6027\u88dc\u6b63\u3092\u6c7a\u5b9a\u3057\u307e\u3059\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e0a\u306e\u8868\u3092\u53c2\u7167\u3059\u308b\u3068\u3001X \u2264 43 \u306e\u5f62\u5f0f\u3067\u78ba\u7387\u3092\u6271\u3046\u5834\u5408\u306f 0.5 \u3092\u8ffd\u52a0\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001P(X&lt; 43.5) \u304c\u898b\u3064\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 3: \u4e8c\u9805\u5206\u5e03\u306e\u5e73\u5747 (\u03bc) \u3068\u6a19\u6e96\u504f\u5dee (\u03c3) \u3092\u6c42\u3081\u307e\u3059\u3002<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u03bc<\/strong> = n*p = 100*0.5 = 50<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u03c3<\/strong> = \u221a <span style=\"text-decoration: overline;\">n*p*(1-p)<\/span> = \u221a <span style=\"text-decoration: overline;\">100*.5*(1-.5)<\/span> = \u221a <span style=\"text-decoration: overline;\">25<\/span> = 5<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 4: \u524d\u306e\u30b9\u30c6\u30c3\u30d7\u3067\u898b\u3064\u304b\u3063\u305f\u5e73\u5747\u3068\u6a19\u6e96\u504f\u5dee\u3092\u4f7f\u7528\u3057\u3066 Z \u30b9\u30b3\u30a2\u3092\u898b\u3064\u3051\u307e\u3059\u3002<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>z<\/strong> = (x \u2013 \u03bc) \/ \u03c3 = (43.5 \u2013 50) \/ 5 = -6.5 \/ 5 = -1.3\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 5: Z \u30b9\u30b3\u30a2\u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u78ba\u7387\u3092\u898b\u3064\u3051\u307e\u3059\u3002<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ja\/\u9ad8\u901f\u6b63\u898f\u7d2f\u7a4d\u5206\u5e03\u95a2\u6570\u8a08\u7b97\u6a5f\/\" target=\"_blank\" rel=\"noopener\">\u6b63\u898f CDF \u8a08\u7b97\u30c4\u30fc\u30eb<\/a>\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001-1.3 \u306e\u5de6\u5074\u306e\u6a19\u6e96\u6b63\u898f\u66f2\u7dda\u306e\u4e0b\u306e\u9762\u7a4d\u304c<strong>0.0968<\/strong>\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3057\u305f\u304c\u3063\u3066\u3001\u30b3\u30a4\u30f3\u3092 100 \u56de\u6295\u3052\u3066\u8868\u304c 43 \u56de\u4ee5\u4e0b\u306b\u306a\u308b\u78ba\u7387\u306f<strong>0.0968<\/strong>\u3067\u3059\u3002<\/span><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u3053\u306e\u4f8b\u306f\u6b21\u306e\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u78ba\u7387\u5909\u6570\u304c\u4e8c\u9805\u5206\u5e03\u306b\u5f93\u3046\u72b6\u6cc1\u304c\u3042\u308a\u307e\u3057\u305f\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u3053\u306e\u78ba\u7387\u5909\u6570\u306b\u5bfe\u3057\u3066\u7279\u5b9a\u306e\u5024\u304c\u5f97\u3089\u308c\u308b\u78ba\u7387\u3092\u898b\u3064\u3051\u305f\u3044\u3068\u8003\u3048\u307e\u3057\u305f\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u30b5\u30f3\u30d7\u30eb \u30b5\u30a4\u30ba (n = 100 \u8a66\u884c) \u304c\u5341\u5206\u306b\u5927\u304d\u304b\u3063\u305f\u305f\u3081\u3001\u6b63\u898f\u5206\u5e03\u3092\u4f7f\u7528\u3057\u3066\u4e8c\u9805\u5206\u5e03\u3092\u8fd1\u4f3c\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3053\u308c\u306f\u3001\u6b63\u898f\u8fd1\u4f3c\u3092\u4f7f\u7528\u3057\u3066\u4e8c\u9805\u5206\u5e03\u306b\u95a2\u9023\u3059\u308b\u78ba\u7387\u3092\u898b\u3064\u3051\u308b\u65b9\u6cd5\u306e\u5b8c\u5168\u306a\u4f8b\u3067\u3059\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>_ _ _ _\u306e\u5834\u5408 \u03bc = np \u03c3 = \u221a np(1-p) 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