{"id":595,"date":"2023-07-29T09:23:58","date_gmt":"2023-07-29T09:23:58","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e5%b0%8e%e9%80%9a%e8%a3%9c%e6%ad%a3\/"},"modified":"2023-07-29T09:23:58","modified_gmt":"2023-07-29T09:23:58","slug":"%e5%b0%8e%e9%80%9a%e8%a3%9c%e6%ad%a3","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e5%b0%8e%e9%80%9a%e8%a3%9c%e6%ad%a3\/","title":{"rendered":"\u7d71\u8a08\u306b\u304a\u3051\u308b\u9023\u7d9a\u6027\u88dc\u6b63\u306e\u7c21\u5358\u306a\u8aac\u660e"},"content":{"rendered":"

<\/p>\n

\n

\u9023\u7d9a\u6027\u88dc\u6b63\u306f\u3001<\/strong>\u9023\u7d9a\u5206\u5e03\u3092\u4f7f\u7528\u3057\u3066\u96e2\u6563\u5206\u5e03\u3092\u8fd1\u4f3c\u3059\u308b\u5834\u5408\u306b\u9069\u7528\u3055\u308c\u307e\u3059\u3002<\/span>\u4e00\u822c\u306b\u3001\u6b63\u898f\u5206\u5e03\u3092<\/a>\u4f7f\u7528\u3057\u3066\u4e8c\u9805\u5206\u5e03<\/a>\u3092\u8fd1\u4f3c\u3057\u305f\u3044\u5834\u5408\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n

1 \u56de\u306e\u8a66\u884c\u3067\u306e\u6210\u529f\u78ba\u7387\u304cp<\/em>\u3067\u3042\u308b\u3068\u3059\u308b\u3068\u3001\u4e8c\u9805\u5206\u5e03\u306fn<\/em>\u56de\u306e\u8a66\u884c\u3067x \u306e<\/em>\u6210\u529f\u3092\u9054\u6210\u3059\u308b\u78ba\u7387\u3092\u793a\u3057\u3066\u3044\u308b\u3053\u3068\u3092\u601d\u3044\u51fa\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/span>\u4e8c\u9805\u5206\u5e03\u306b\u3088\u308b\u78ba\u7387\u306b\u95a2\u3059\u308b\u8cea\u554f\u306b\u7b54\u3048\u308b\u306b\u306f\u3001\u5358\u306b\u4e8c\u9805\u5206\u5e03\u8a08\u7b97\u6a5f<\/a>\u3092\u4f7f\u7528\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u304c\u3001\u9023\u7d9a\u6027\u88dc\u6b63\u3092\u5099\u3048\u305f\u6b63\u898f\u5206\u5e03\u3092\u4f7f\u7528\u3057\u3066\u78ba\u7387\u3092\u8fd1\u4f3c\u3059\u308b<\/em>\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n

\u9023\u7d9a\u6027\u88dc\u6b63\u306f\u3001\u96e2\u6563 x \u5024\u306b<\/strong>0.5 \u3092\u52a0\u7b97\u307e\u305f\u306f\u6e1b\u7b97\u3059\u308b\u3053\u3068<\/strong>\u3092\u6307\u3059\u540d\u524d\u3067\u3059\u3002<\/span><\/p>\n

\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

\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\n\n\n\n\n\n\n\n
\u4e8c\u9805\u5206\u5e03\u3092\u4f7f\u7528\u3059\u308b<\/strong><\/span><\/th>\n\u9023\u7d9a\u6027\u88dc\u6b63\u3092\u4f34\u3046\u6b63\u898f\u5206\u5e03\u306e\u4f7f\u7528<\/strong><\/span><\/th>\n<\/tr>\n
X = 45<\/span><\/td>\n 44.5 < X < 45.5<\/span><\/td>\n<\/tr>\n
X \u2264 45<\/span><\/td>\n X < 45.5<\/span><\/td>\n<\/tr>\n
X < 45<\/span><\/td>\n X < 44.5<\/span><\/td>\n<\/tr>\n
X \u2265 45<\/span><\/td>\n X > 44.5<\/span><\/td>\n<\/tr>\n
X > 45<\/span><\/td>\n X > 45.5<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n

\u6ce8\u8a18\uff1a<\/strong><\/span><\/p>\n

n*p \u3068 n*(1-p) \u304c\u4e21\u65b9\u3068\u3082 5 \u4ee5\u4e0a\u3067\u3042\u308b\u5834\u5408\u306b\u306e\u307f\u3001\u6b63\u898f\u5206\u5e03\u306b\u9023\u7d9a\u6027\u88dc\u6b63\u3092\u9069\u7528\u3057\u3066\u4e8c\u9805\u5206\u5e03\u3092\u8fd1\u4f3c\u3059\u308b\u3053\u3068\u304c\u9069\u5207\u3067\u3059\u3002<\/span><\/p>\n

\u305f\u3068\u3048\u3070\u3001n = 15 \u304a\u3088\u3073 p = 0.6 \u3068\u4eee\u5b9a\u3057\u307e\u3059\u3002\u3053\u306e\u5834\u5408\uff1a<\/span><\/p>\n

n*p = 15 * 0.6 = 9<\/span><\/p>\n

n*(1-p) = 15 * (1 \u2013 0.6) = 15 * (0.4) = 6<\/span><\/p>\n

\u3053\u308c\u3089\u306e\u6570\u5024\u306f\u4e21\u65b9\u3068\u3082 5 \u4ee5\u4e0a\u3067\u3042\u308b\u305f\u3081\u3001\u3053\u306e\u30b7\u30ca\u30ea\u30aa\u3067\u306f\u9023\u7d9a\u6027\u88dc\u6b63\u3092\u9069\u7528\u3057\u3066\u3082\u554f\u984c\u3042\u308a\u307e\u305b\u3093\u3002<\/span><\/p>\n<\/blockquote>\n

\u6b21\u306e\u4f8b\u306f\u3001\u6b63\u898f\u5206\u5e03\u306b\u9023\u7d9a\u6027\u88dc\u6b63\u3092\u9069\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

\u9023\u7d9a\u6027\u88dc\u6b63\u306e\u9069\u7528\u4f8b<\/strong><\/span><\/h2>\n

\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\u3053\u306e\u5834\u5408\uff1a<\/span><\/p>\n

n = \u8a66\u884c\u56de\u6570 = 100<\/span><\/p>\n

X = \u6210\u529f\u6570 = 43<\/span><\/p>\n

p = \u7279\u5b9a\u306e\u8a66\u884c\u306b\u304a\u3051\u308b\u6210\u529f\u78ba\u7387 = 0.50<\/span><\/p>\n

\u3053\u308c\u3089\u306e\u6570\u5024\u3092\u4e8c\u9805\u5206\u5e03\u8a08\u7b97\u30c4\u30fc\u30eb<\/a>\u306b\u4ee3\u5165\u3059\u308b\u3068\u3001\u30b3\u30a4\u30f3\u304c 43 \u56de\u4ee5\u4e0b\u306e\u8868\u306b\u5f53\u305f\u308b\u78ba\u7387\u304c0.09667<\/strong>\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span> <\/p>\n

\"\u5c0e\u901a\u88dc\u6b63\u4f8b\"<\/p>\n

\u6b63\u898f\u5206\u5e03\u306b\u9023\u7d9a\u6027\u88dc\u6b63\u3092\u9069\u7528\u3057\u3066\u4e8c\u9805\u5206\u5e03\u3092\u8fd1\u4f3c\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u624b\u9806\u3092\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n

\u30b9\u30c6\u30c3\u30d7 1: n*p \u3068 n*(1-p) \u304c\u4e21\u65b9\u3068\u3082 5 \u4ee5\u4e0a\u3067\u3042\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3057\u307e\u3059<\/strong>\u3002<\/span><\/p>\n

n*p = 100*0.5 = 50<\/p>\n

n*(1-p) = 100*(1 \u2013 0.5) = 100*0.5 = 50<\/p>\n

\u3069\u3061\u3089\u306e\u6570\u5024\u3082 5 \u4ee5\u4e0a\u3067\u3042\u308b\u305f\u3081\u3001\u7d9a\u884c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n

\u30b9\u30c6\u30c3\u30d7 2: 0.5 \u3092\u52a0\u7b97\u3059\u308b\u304b\u6e1b\u7b97\u3059\u308b\u304b\u3092\u6c7a\u5b9a\u3057\u307e\u3059\u3002<\/strong><\/span><\/p>\n

\u4e0a\u306e\u8868\u3092\u53c2\u7167\u3059\u308b\u3068\u3001X \u2264 43 \u306e\u5f62\u5f0f\u3067\u78ba\u7387\u3092\u6271\u3046\u5834\u5408\u3001 0.5<\/strong>\u3092\u8ffd\u52a0\u3059\u308b<\/strong>\u5fc5\u8981\u304c\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001P(X< 43.5) \u304c\u898b\u3064\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n

\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

\u03bc<\/strong> = n*p = 100*0.5 = 50<\/span><\/p>\n

\u03c3<\/strong> = \u221a n*p*(1-p)<\/span> = \u221a 100*.5*(1-.5)<\/span> = \u221a 25<\/span> = 5<\/span><\/p>\n

\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

z<\/strong> = (x \u2013 \u03bc) \/ \u03c3 = (43.5 \u2013 50) \/ 5 = -6.5 \/ 5 = -1.3\u3002<\/span><\/p>\n

\u30b9\u30c6\u30c3\u30d7 5: Z \u30c6\u30fc\u30d6\u30eb\u3092\u4f7f\u7528\u3057\u3066\u3001Z \u30b9\u30b3\u30a2\u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u78ba\u7387\u3092\u898b\u3064\u3051\u307e\u3059\u3002<\/strong><\/span><\/p>\n

\u8868 Z \u306b\u3088\u308b\u3068\u3001z = -1.3 \u306b\u95a2\u9023\u3059\u308b\u78ba\u7387\u306f0.0968<\/strong>\u3067\u3059\u3002<\/span> <\/p>\n

\"\u9023\u7d9a\u6027\u88dc\u6b63\u306e\u305f\u3081\u306e<\/p>\n

\u3057\u305f\u304c\u3063\u3066\u3001\u4e8c\u9805\u5206\u5e03\u3092\u4f7f\u7528\u3057\u3066\u6c42\u3081\u305f\u6b63\u78ba\u306a\u78ba\u7387\u306f0.09667<\/strong>\u3067\u3057\u305f\u304c\u3001\u6b63\u898f\u5206\u5e03\u306b\u3088\u308b\u9023\u7d9a\u6027\u88dc\u6b63\u3092\u4f7f\u7528\u3057\u3066\u6c42\u3081\u305f\u304a\u304a\u3088\u305d\u306e\u78ba\u7387\u306f0.0968<\/strong>\u3067\u3057\u305f\u3002\u3053\u308c\u3089 2 \u3064\u306e\u5024\u306f\u975e\u5e38\u306b\u8fd1\u3044\u3067\u3059\u3002<\/span><\/p>\n

\u9023\u7d9a\u6027\u88dc\u6b63\u3092\u4f7f\u7528\u3059\u308b\u5834\u5408<\/strong><\/span><\/h2>\n

\u6700\u65b0\u306e\u7d71\u8a08\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u304c\u5b58\u5728\u3057\u3001\u8a08\u7b97\u3092\u624b\u52d5\u3067\u884c\u3046\u5fc5\u8981\u304c\u3042\u308b\u524d\u306f\u3001\u96e2\u6563\u5206\u5e03\u3092\u542b\u3080\u78ba\u7387\u3092\u898b\u3064\u3051\u308b\u305f\u3081\u306b\u9023\u7d9a\u6027\u88dc\u6b63\u304c\u3088\u304f\u4f7f\u7528\u3055\u308c\u3066\u3044\u307e\u3057\u305f\u3002<\/span>\u73fe\u5728\u3001\u79c1\u305f\u3061\u306f\u901a\u5e38\u3001\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u3084\u8a08\u7b97\u6a5f\u306b\u78ba\u7387\u3092\u8a08\u7b97\u3057\u3066\u3082\u3089\u3046\u3053\u3068\u304c\u3067\u304d\u308b\u305f\u3081\u3001\u78ba\u7387\u306e\u8a08\u7b97\u306b\u304a\u3044\u3066\u9023\u7d9a\u6027\u88dc\u6b63\u304c\u679c\u305f\u3059\u5f79\u5272\u306f\u305d\u308c\u307b\u3069\u5927\u304d\u304f\u3042\u308a\u307e\u305b\u3093\u3002<\/span><\/p>\n

\u3080\u3057\u308d\u3001\u3053\u308c\u306f\u3001\u4e8c\u9805\u5206\u5e03\u3068\u6b63\u898f\u5206\u5e03\u306e\u95a2\u4fc2\u3092\u8aac\u660e\u3057\u3001\u9023\u7d9a\u6027\u88dc\u6b63\u3092\u9069\u7528\u3059\u308b\u3053\u3068\u3067\u6b63\u898f\u5206\u5e03\u304c\u4e8c\u9805\u5206\u5e03\u306b\u8fd1\u4f3c\u3067\u304d\u308b\u3053\u3068\u3092\u793a\u3059\u305f\u3081\u306b\u3001\u7d71\u8a08\u30b3\u30fc\u30b9\u3067\u6271\u308f\u308c\u308b\u30c8\u30d4\u30c3\u30af\u306b\u3059\u304e\u307e\u305b\u3093\u3002<\/span><\/p>\n

\u5c0e\u901a\u88dc\u6b63\u8a08\u7b97\u6a5f<\/strong><\/span><\/h2>\n

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