{"id":3242,"date":"2023-07-18T12:20:42","date_gmt":"2023-07-18T12:20:42","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d8%a7%d8%ae%d8%aa%d8%a8%d8%a7%d8%b1-%d9%81%d8%b1%d8%b6%d9%8a%d8%a9-%d8%a8%d8%a7%d9%8a%d8%ab%d9%88%d9%86\/"},"modified":"2023-07-18T12:20:42","modified_gmt":"2023-07-18T12:20:42","slug":"%d8%a7%d8%ae%d8%aa%d8%a8%d8%a7%d8%b1-%d9%81%d8%b1%d8%b6%d9%8a%d8%a9-%d8%a8%d8%a7%d9%8a%d8%ab%d9%88%d9%86","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d8%a7%d8%ae%d8%aa%d8%a8%d8%a7%d8%b1-%d9%81%d8%b1%d8%b6%d9%8a%d8%a9-%d8%a8%d8%a7%d9%8a%d8%ab%d9%88%d9%86\/","title":{"rendered":"\u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0627\u062a \u0641\u064a \u0644\u063a\u0629 \u0628\u0627\u064a\u062b\u0648\u0646 (\u0645\u0639 \u0623\u0645\u062b\u0644\u0629)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p style=\";text-align:right;direction:rtl\"><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ar\/\u0627\u062e\u062a\u0628\u0627\u0631-\u0627\u0644\u0641\u0631\u0636\u064a\u0627\u062a-1\/\" target=\"_blank\" rel=\"noopener\">\u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0629<\/a> \u0647\u0648 \u0627\u062e\u062a\u0628\u0627\u0631 \u0625\u062d\u0635\u0627\u0626\u064a \u0631\u0633\u0645\u064a \u0646\u0633\u062a\u062e\u062f\u0645\u0647 \u0644\u0631\u0641\u0636 \u0623\u0648 \u0627\u0644\u0641\u0634\u0644 \u0641\u064a \u0631\u0641\u0636 \u0641\u0631\u0636\u064a\u0629 \u0625\u062d\u0635\u0627\u0626\u064a\u0629.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0634\u0631\u062d \u0647\u0630\u0627 \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u064a \u0643\u064a\u0641\u064a\u0629 \u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631\u0627\u062a \u0627\u0644\u0641\u0631\u0636\u064a\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0641\u064a \u0628\u0627\u064a\u062b\u0648\u0646:<\/span><\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0639\u064a\u0646\u0629 \u0645\u0646 \u0627\u062e\u062a\u0628\u0627\u0631 t<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0627\u062e\u062a\u0628\u0627\u0631 T \u0644\u0639\u064a\u0646\u062a\u064a\u0646<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0627\u062e\u062a\u0628\u0627\u0631 t \u0644\u0644\u0639\u064a\u0646\u0627\u062a \u0627\u0644\u0645\u0642\u062a\u0631\u0646\u0629<\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062f\u0639\u0646\u0627 \u0646\u0630\u0647\u0628!<\/span><\/p>\n<h2 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0645\u062b\u0627\u0644 1: \u0645\u062b\u0627\u0644 \u0644\u0627\u062e\u062a\u0628\u0627\u0631 t \u0641\u064a \u0628\u0627\u064a\u062b\u0648\u0646<\/strong><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 <a href=\"https:\/\/statorials.org\/ar\/\u0639\u064a\u0646\u0629-\u0645\u0646-\u0627\u062e\u062a\u0628\u0627\u0631-t\/\" target=\"_blank\" rel=\"noopener\">\u0627\u062e\u062a\u0628\u0627\u0631 t \u0644\u0639\u064a\u0646\u0629 \u0648\u0627\u062d\u062f\u0629<\/a> \u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0645\u062a\u0648\u0633\u0637 \u0627\u0644\u0645\u062c\u062a\u0645\u0639 \u064a\u0633\u0627\u0648\u064a \u0642\u064a\u0645\u0629 \u0645\u0639\u064a\u0646\u0629 \u0623\u0645 \u0644\u0627.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646\u0646\u0627 \u0646\u0631\u064a\u062f \u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0645\u062a\u0648\u0633\u0637 \u0648\u0632\u0646 \u0646\u0648\u0639 \u0645\u0639\u064a\u0646 \u0645\u0646 \u0627\u0644\u0633\u0644\u0627\u062d\u0641 \u0647\u0648 310 \u0631\u0637\u0644 \u0623\u0645 \u0644\u0627.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0648\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0630\u0644\u0643 \u0642\u0645\u0646\u0627 \u0628\u062c\u0645\u0639 \u0639\u064a\u0646\u0629 \u0639\u0634\u0648\u0627\u0626\u064a\u0629 \u0628\u0633\u064a\u0637\u0629 \u0645\u0646 \u0627\u0644\u0633\u0644\u0627\u062d\u0641 \u0628\u0627\u0644\u0623\u0648\u0632\u0627\u0646 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u0648\u0632\u0646<\/strong> : 300\u060c 315\u060c 320\u060c 311\u060c 314\u060c 309\u060c 300\u060c 308\u060c 305\u060c 303\u060c 305\u060c 301\u060c 303<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0648\u0636\u062d \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0629 \u0627\u0644\u0628\u0631\u0645\u062c\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 <a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.stats.ttest_1samp.html\" target=\"_blank\" rel=\"noopener noreferrer\">tttest_1samp()<\/a> \u0641\u064a \u0645\u0643\u062a\u0628\u0629 <strong>scipy.stats<\/strong> \u0644\u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631 t \u0644\u0639\u064a\u0646\u0629 \u0648\u0627\u062d\u062f\u0629:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import<\/span> scipy.stats <span style=\"color: #107d3f;\">as<\/span> stats\n\n<span style=\"color: #008080;\">#define data<\/span>\ndata = <span style=\"color: #000000;\">[300, 315, 320, 311, 314, 309, 300, 308, 305, 303, 305, 301, 303]<\/span>\n\n<span style=\"color: #008080;\">#perform one sample t-test<\/span>\nstats. <span style=\"color: #3366ff;\">ttest_1samp<\/span> (a=data, popmean= <span style=\"color: #008000;\">310<\/span> )\n\nTtest_1sampResult(statistic=-1.5848116313861254, pvalue=0.1389944275158753)\n<\/strong><\/pre>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a \u0627\u062e\u062a\u0628\u0627\u0631 t \u0647\u064a <strong>-1.5848<\/strong> \u0648\u0627\u0644\u0642\u064a\u0645\u0629 p \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629 \u062b\u0646\u0627\u0626\u064a\u0629 \u0627\u0644\u0637\u0631\u0641 \u0647\u064a <strong>0.1389<\/strong> .<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0627\u0644\u0641\u0631\u0636\u064a\u062a\u064a\u0646 \u0644\u0647\u0630\u0627 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 t \u0639\u0644\u0649 \u0639\u064a\u0646\u0629 \u0645\u0639\u064a\u0646\u0629 \u0647\u064a \u0643\u0645\u0627 \u064a\u0644\u064a:<\/span><\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc = 310 (\u0645\u062a\u0648\u0633\u0637 \u0648\u0632\u0646 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0633\u0644\u0627\u062d\u0641 310 \u0631\u0637\u0644)<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <strong style=\"color: #000000;\">H <sub>A<\/sub> :<\/strong> <span style=\"color: #000000;\">\u03bc \u2260310 (\u0645\u062a\u0648\u0633\u0637 \u0627\u0644\u0648\u0632\u0646 \u0644\u064a\u0633<\/span> <em style=\"color: #000000;\">310<\/em> <span style=\"color: #000000;\">\u0631\u0637\u0644)<\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0646\u0638\u0631\u064b\u0627 \u0644\u0623\u0646 \u0627\u0644\u0642\u064a\u0645\u0629 p \u0644\u0644\u0627\u062e\u062a\u0628\u0627\u0631 <strong>(0.1389)<\/strong> \u0623\u0643\u0628\u0631 \u0645\u0646 alpha = 0.05\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u0641\u0634\u0644 \u0641\u064a \u0631\u0641\u0636 \u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0639\u062f\u0645 \u0644\u0644\u0627\u062e\u062a\u0628\u0627\u0631.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0644\u064a\u0633 \u0644\u062f\u064a\u0646\u0627 \u0623\u062f\u0644\u0629 \u0643\u0627\u0641\u064a\u0629 \u0644\u0646\u0642\u0648\u0644 \u0623\u0646 \u0645\u062a\u0648\u0633\u0637 \u0648\u0632\u0646 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0628\u0627\u0644\u0630\u0627\u062a \u0645\u0646 \u0627\u0644\u0633\u0644\u0627\u062d\u0641 \u0647\u0648 \u0623\u0643\u062b\u0631 \u0645\u0646 310 \u0631\u0637\u0644.<\/span><\/p>\n<h2 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0645\u062b\u0627\u0644 2: \u0627\u062e\u062a\u0628\u0627\u0631 t \u0645\u0646 \u0639\u064a\u0646\u062a\u064a\u0646 \u0641\u064a \u0628\u0627\u064a\u062b\u0648\u0646<\/strong><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 <a href=\"https:\/\/statorials.org\/ar\/\u0627\u062e\u062a\u0628\u0627\u0631-\u0639\u064a\u0646\u062a\u064a\u0646-\u0627\u0644\u062e\u0627\u0635-\u0628\u0643\/\" target=\"_blank\" rel=\"noopener\">\u0627\u062e\u062a\u0628\u0627\u0631 t \u0627\u0644\u0645\u0643\u0648\u0646 \u0645\u0646 \u0639\u064a\u0646\u062a\u064a\u0646<\/a> \u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0645\u062a\u0648\u0633\u0637\u0627\u062a \u0645\u062c\u062a\u0645\u0639\u064a\u0646 \u0645\u062a\u0633\u0627\u0648\u064a\u062a\u064a\u0646 \u0623\u0645 \u0644\u0627.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646\u0646\u0627 \u0646\u0631\u064a\u062f \u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0645\u062a\u0648\u0633\u0637 \u0648\u0632\u0646 \u0646\u0648\u0639\u064a\u0646 \u0645\u062e\u062a\u0644\u0641\u064a\u0646 \u0645\u0646 \u0627\u0644\u0633\u0644\u0627\u062d\u0641 \u0645\u062a\u0633\u0627\u0648\u064a\u064b\u0627 \u0623\u0645 \u0644\u0627.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0648\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0630\u0644\u0643 \u0642\u0645\u0646\u0627 \u0628\u062c\u0645\u0639 \u0639\u064a\u0646\u0629 \u0639\u0634\u0648\u0627\u0626\u064a\u0629 \u0628\u0633\u064a\u0637\u0629 \u0645\u0646 \u0627\u0644\u0633\u0644\u0627\u062d\u0641 \u0645\u0646 \u0643\u0644 \u0646\u0648\u0639 \u0628\u0627\u0644\u0623\u0648\u0632\u0627\u0646 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u0639\u064a\u0646\u0629 1<\/strong> : 300\u060c 315\u060c 320\u060c 311\u060c 314\u060c 309\u060c 300\u060c 308\u060c 305\u060c 303\u060c 305\u060c 301\u060c 303<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u0639\u064a\u0646\u0629 2<\/strong> : 335\u060c 329\u060c 322\u060c 321\u060c 324\u060c 319\u060c 304\u060c 308\u060c 305\u060c 311\u060c 307\u060c 300\u060c 305<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0648\u0636\u062d \u0627\u0644\u0643\u0648\u062f \u0627\u0644\u062a\u0627\u0644\u064a \u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 <a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.stats.ttest_ind.html\" target=\"_blank\" rel=\"noopener\">tttest_ind()<\/a> \u0641\u064a \u0645\u0643\u062a\u0628\u0629 <strong>scipy.stats<\/strong> \u0644\u0625\u062c\u0631\u0627\u0621 \u0647\u0630\u064a\u0646 \u0627\u0644\u0645\u062b\u0627\u0644\u064a\u0646 \u0644\u0627\u062e\u062a\u0628\u0627\u0631 t:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">as<\/span> stats<\/span>\n\n#define array of turtle weights for each sample\n<span style=\"color: #000000;\">sample1 = [300, 315, 320, 311, 314, 309, 300, 308, 305, 303, 305, 301, 303]<\/span>\n<span style=\"color: #000000;\">sample2 = [335, 329, 322, 321, 324, 319, 304, 308, 305, 311, 307, 300, 305]<\/span>\n\n#perform two sample t-tests<\/span>\nstats. <span style=\"color: #3366ff;\">ttest_ind<\/span> (a=sample1, b=sample2) \n\nTtest_indResult(statistic=-2.1009029257555696, pvalue=0.04633501389516516)<\/strong><\/pre>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a \u0627\u062e\u062a\u0628\u0627\u0631 t \u0647\u064a <strong>-2.1009<\/strong> \u0648\u0627\u0644\u0642\u064a\u0645\u0629 p \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629 \u062b\u0646\u0627\u0626\u064a\u0629 \u0627\u0644\u0637\u0631\u0641 \u0647\u064a <strong>0.0463<\/strong> .<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636\u0627\u0646 \u0627\u0644\u062e\u0627\u0635\u0627\u0646 \u0628\u0627\u062e\u062a\u0628\u0627\u0631 t \u0627\u0644\u0645\u0643\u0648\u0646 \u0645\u0646 \u0639\u064a\u0646\u062a\u064a\u0646 \u0647\u0645\u0627:<\/span><\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc <sub>1<\/sub> = \u03bc <sub>2<\/sub> (\u0645\u062a\u0648\u0633\u0637 \u0627\u0644\u0648\u0632\u0646 \u0628\u064a\u0646 \u0627\u0644\u0646\u0648\u0639\u064a\u0646 \u0645\u062a\u0633\u0627\u0648\u064a)<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <strong style=\"color: #000000;\">H <sub>A<\/sub> :<\/strong> <span style=\"color: #000000;\">\u03bc<\/span> <sub style=\"color: #000000;\">1<\/sub> <span style=\"color: #000000;\">\u2260 \u03bc<\/span> <sub style=\"color: #000000;\">2<\/sub> <span style=\"color: #000000;\">(\u0645\u062a\u0648\u0633\u0637 \u0627\u0644\u0648\u0632\u0646 \u0628\u064a\u0646 \u0627\u0644\u0646\u0648\u0639\u064a\u0646 \u063a\u064a\u0631 \u0645\u062a\u0633\u0627\u0648\u064a)<\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0648\u0628\u0645\u0627 \u0623\u0646 \u0627\u0644\u0642\u064a\u0645\u0629 p \u0644\u0644\u0627\u062e\u062a\u0628\u0627\u0631 (0.0463) \u0623\u0642\u0644 \u0645\u0646 0.05\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u0631\u0641\u0636 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0635\u0641\u0631\u064a\u0629.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0648\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0644\u062f\u064a\u0646\u0627 \u0645\u0627 \u064a\u0643\u0641\u064a \u0645\u0646 \u0627\u0644\u0623\u062f\u0644\u0629 \u0644\u0646\u0642\u0648\u0644 \u0623\u0646 \u0645\u062a\u0648\u0633\u0637 \u0627\u0644\u0648\u0632\u0646 \u0628\u064a\u0646 \u0627\u0644\u0646\u0648\u0639\u064a\u0646 \u0644\u064a\u0633 \u0645\u062a\u0633\u0627\u0648\u064a\u0627.<\/span><\/p>\n<h2 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0645\u062b\u0627\u0644 3: \u0627\u062e\u062a\u0628\u0627\u0631 t \u0644\u0644\u0639\u064a\u0646\u0627\u062a \u0627\u0644\u0645\u0642\u062a\u0631\u0646\u0629 \u0641\u064a \u0628\u0627\u064a\u062b\u0648\u0646<\/strong><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 <a href=\"https:\/\/statorials.org\/ar\/\u0627\u062e\u062a\u0628\u0627\u0631-t-\u0644\u0644\u0639\u064a\u0646\u0627\u062a-\u0627\u0644\u0645\u0642\u062a\u0631\u0646\u0629\/\" target=\"_blank\" rel=\"noopener\">\u0627\u062e\u062a\u0628\u0627\u0631 t \u0644\u0644\u0639\u064a\u0646\u0627\u062a \u0627\u0644\u0645\u0642\u062a\u0631\u0646\u0629<\/a> \u0644\u0645\u0642\u0627\u0631\u0646\u0629 \u0645\u062a\u0648\u0633\u0637\u064a \u0639\u064a\u0646\u062a\u064a\u0646 \u0639\u0646\u062f\u0645\u0627 \u064a\u0645\u0643\u0646 \u0631\u0628\u0637 \u0643\u0644 \u0645\u0644\u0627\u062d\u0638\u0629 \u0641\u064a \u0639\u064a\u0646\u0629 \u0648\u0627\u062d\u062f\u0629 \u0628\u0645\u0644\u0627\u062d\u0638\u0629 \u0641\u064a \u0627\u0644\u0639\u064a\u0646\u0629 \u0627\u0644\u0623\u062e\u0631\u0649.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646\u0646\u0627 \u0646\u0631\u064a\u062f \u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0628\u0631\u0646\u0627\u0645\u062c \u062a\u062f\u0631\u064a\u0628\u064a \u0645\u0639\u064a\u0646 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649 \u0632\u064a\u0627\u062f\u0629 \u0627\u0644\u062d\u062f \u0627\u0644\u0623\u0642\u0635\u0649 \u0644\u0644\u0642\u0641\u0632 \u0627\u0644\u0639\u0645\u0648\u062f\u064a (\u0628\u0627\u0644\u0628\u0648\u0635\u0629) \u0644\u0644\u0627\u0639\u0628\u064a \u0643\u0631\u0629 \u0627\u0644\u0633\u0644\u0629 \u0623\u0645 \u0644\u0627.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0648\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0630\u0644\u0643\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u0639\u064a\u064a\u0646 \u0639\u064a\u0646\u0629 \u0639\u0634\u0648\u0627\u0626\u064a\u0629 \u0628\u0633\u064a\u0637\u0629 \u0645\u0643\u0648\u0646\u0629 \u0645\u0646 12 \u0644\u0627\u0639\u0628 \u0643\u0631\u0629 \u0633\u0644\u0629 \u062c\u0627\u0645\u0639\u064a\u064b\u0627 \u0648\u0642\u064a\u0627\u0633 \u0643\u0644 \u0642\u0641\u0632\u0629 \u0645\u0646 \u0642\u0641\u0632\u0627\u062a\u0647\u0645 \u0627\u0644\u0639\u0645\u0648\u062f\u064a\u0629 \u0627\u0644\u0642\u0635\u0648\u0649. \u062b\u0645 \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u062c\u0639\u0644 \u0643\u0644 \u0644\u0627\u0639\u0628 \u064a\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c \u0627\u0644\u062a\u062f\u0631\u064a\u0628\u064a \u0644\u0645\u062f\u0629 \u0634\u0647\u0631 \u062b\u0645 \u0646\u0642\u064a\u0633 \u0623\u0642\u0635\u0649 \u0642\u0641\u0632\u0629 \u0639\u0645\u0648\u062f\u064a\u0629 \u0644\u0647 \u0645\u0631\u0629 \u0623\u062e\u0631\u0649 \u0641\u064a \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u0634\u0647\u0631.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062a\u0648\u0636\u062d \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0623\u0642\u0635\u0649 \u0627\u0631\u062a\u0641\u0627\u0639 \u0644\u0644\u0642\u0641\u0632 (\u0628\u0627\u0644\u0628\u0648\u0635\u0629) \u0642\u0628\u0644 \u0648\u0628\u0639\u062f \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c \u0627\u0644\u062a\u062f\u0631\u064a\u0628\u064a \u0644\u0643\u0644 \u0644\u0627\u0639\u0628:<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0627\u0644\u0627\u0645\u0627\u0645\u064a\u0629<\/strong> : 22, 24, 20, 19, 19, 20, 22, 25, 24, 23, 22, 21<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0628\u0639\u062f<\/strong> : 23\u060c 25\u060c 20\u060c 24\u060c 18\u060c 22\u060c 23\u060c 28\u060c 24\u060c 25\u060c 24\u060c 20<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0648\u0636\u062d \u0627\u0644\u0643\u0648\u062f \u0627\u0644\u062a\u0627\u0644\u064a \u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 <a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.stats.ttest_rel.html\" target=\"_blank\" rel=\"noopener\">\u0627\u0644\u062f\u0627\u0644\u0629 tttest_rel()<\/a> \u0641\u064a \u0645\u0643\u062a\u0628\u0629 <strong>scipy.stats<\/strong> \u0644\u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631 t \u0644\u0644\u0639\u064a\u0646\u0627\u062a \u0627\u0644\u0645\u0642\u062a\u0631\u0646\u0629:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">as<\/span> stats<\/span>\n\n#define before and after max jump heights\n<span style=\"color: #000000;\">before = [22, 24, 20, 19, 19, 20, 22, 25, 24, 23, 22, 21]<\/span>\n<span style=\"color: #000000;\">after = [23, 25, 20, 24, 18, 22, 23, 28, 24, 25, 24, 20]<\/span>\n\n#perform paired samples t-test<\/span>\nstats. <span style=\"color: #3366ff;\">ttest_rel<\/span> (a=before, b=after)\n\nTtest_relResult(statistic=-2.5289026942943655, pvalue=0.02802807458682508)\n<\/strong><\/pre>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a \u0627\u062e\u062a\u0628\u0627\u0631 t \u0647\u064a <strong>-2.5289<\/strong> \u0648\u0627\u0644\u0642\u064a\u0645\u0629 p \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629 \u062b\u0646\u0627\u0626\u064a\u0629 \u0627\u0644\u0637\u0631\u0641 \u0647\u064a <strong>0.0280<\/strong> .<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636\u0627\u0646 \u0644\u0647\u0630\u0627 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 t \u0644\u0644\u0639\u064a\u0646\u0627\u062a \u0627\u0644\u0645\u0642\u062a\u0631\u0646\u0629 \u0647\u0645\u0627:<\/span><\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc <sub>1<\/sub> = \u03bc <sub>2<\/sub> (\u0645\u062a\u0648\u0633\u0637 \u0627\u0631\u062a\u0641\u0627\u0639 \u0627\u0644\u0642\u0641\u0632\u0629 \u0642\u0628\u0644 \u0648\u0628\u0639\u062f \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c \u0645\u062a\u0633\u0627\u0648\u064a)<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <strong style=\"color: #000000;\">H <sub>A<\/sub> :<\/strong> <span style=\"color: #000000;\">\u03bc<\/span> <sub style=\"color: #000000;\">1<\/sub> <span style=\"color: #000000;\">\u2260 \u03bc<\/span> <sub style=\"color: #000000;\">2<\/sub> <span style=\"color: #000000;\">(\u0645\u062a\u0648\u0633\u0637 \u0627\u0631\u062a\u0641\u0627\u0639 \u0627\u0644\u0642\u0641\u0632\u0629 \u0642\u0628\u0644 \u0648\u0628\u0639\u062f \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c \u063a\u064a\u0631 \u0645\u062a\u0633\u0627\u0648\u064a)<\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0648\u0628\u0645\u0627 \u0623\u0646 \u0627\u0644\u0642\u064a\u0645\u0629 p \u0644\u0644\u0627\u062e\u062a\u0628\u0627\u0631 (0.0280) \u0623\u0642\u0644 \u0645\u0646 0.05\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u0631\u0641\u0636 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0635\u0641\u0631\u064a\u0629.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0648\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0644\u062f\u064a\u0646\u0627 \u0623\u062f\u0644\u0629 \u0643\u0627\u0641\u064a\u0629 \u0644\u0644\u0642\u0648\u0644 \u0628\u0623\u0646 \u0645\u062a\u0648\u0633\u0637 \u0627\u0631\u062a\u0641\u0627\u0639 \u0627\u0644\u0642\u0641\u0632\u0629 \u0642\u0628\u0644 \u0648\u0628\u0639\u062f \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c \u0627\u0644\u062a\u062f\u0631\u064a\u0628\u064a \u0644\u064a\u0633 \u0645\u062a\u0633\u0627\u0648\u064a\u0627.<\/span><\/p>\n<h3 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0645\u0635\u0627\u062f\u0631 \u0625\u0636\u0627\u0641\u064a\u0629<\/strong><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0645\u0643\u0646\u0643 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0622\u0644\u0627\u062a \u0627\u0644\u062d\u0627\u0633\u0628\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0639\u0628\u0631 \u0627\u0644\u0625\u0646\u062a\u0631\u0646\u062a \u0644\u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631\u0627\u062a t \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629 \u062a\u0644\u0642\u0627\u0626\u064a\u064b\u0627:<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <a href=\"https:\/\/statorials.org\/ar\/\u0646\u0645\u0648\u0630\u062c-\u062d\u0627\u0633\u0628\u0629-\u0644\u0627\u062e\u062a\u0628\u0627\u0631-t\/\" target=\"_blank\" rel=\"noopener\">\u0645\u062b\u0627\u0644 \u0639\u0644\u0649 \u0627\u0644\u0622\u0644\u0629 \u0627\u0644\u062d\u0627\u0633\u0628\u0629 \u0644\u0627\u062e\u062a\u0628\u0627\u0631 t<\/a><br \/> <a href=\"https:\/\/statorials.org\/ar\/\u0627\u062e\u062a\u0628\u0627\u0631-\u062a\u0627-\u0627\u0653\u0644\u0629-\u062d\u0627\u0633\u0628\u0629-\u0639\u064a\u0646\u062a\u064a\u0646\/\" target=\"_blank\" rel=\"noopener\">\u0622\u0644\u0629 \u062d\u0627\u0633\u0628\u0629 \u0644\u0627\u062e\u062a\u0628\u0627\u0631 t \u0644\u0639\u064a\u0646\u062a\u064a\u0646<\/a><br \/> <a href=\"https:\/\/statorials.org\/ar\/\u062d\u0627\u0633\u0628\u0629-\u0627\u062e\u062a\u0628\u0627\u0631-\u0627\u0644\u0639\u064a\u0646\u0627\u062a-\u0627\u0644\u0645\u0642\u062a\u0631\u0646\u0629\/\" target=\"_blank\" rel=\"noopener\">\u062d\u0627\u0633\u0628\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 t \u0644\u0644\u0639\u064a\u0646\u0627\u062a \u0627\u0644\u0645\u0642\u062a\u0631\u0646\u0629<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0627\u062e\u062a\u0628\u0627\u0631 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