{"id":4911,"date":"2023-07-06T13:25:56","date_gmt":"2023-07-06T13:25:56","guid":{"rendered":"https:\/\/statorials.org\/my\/%e1%80%a5%e1%80%95%e1%80%99%e1%80%ac-t-test-%e1%80%a5%e1%80%95%e1%80%99%e1%80%ac-%e1%80%95%e1%80%bc%e1%80%bf-%e1%80%94%e1%80%ac%e1%80%90%e1%80%85%e1%80%ba%e1%80%81%e1%80%af\/"},"modified":"2023-07-06T13:25:56","modified_gmt":"2023-07-06T13:25:56","slug":"%e1%80%a5%e1%80%95%e1%80%99%e1%80%ac-t-test-%e1%80%a5%e1%80%95%e1%80%99%e1%80%ac-%e1%80%95%e1%80%bc%e1%80%bf-%e1%80%94%e1%80%ac%e1%80%90%e1%80%85%e1%80%ba%e1%80%81%e1%80%af","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/%e1%80%a5%e1%80%95%e1%80%99%e1%80%ac-t-test-%e1%80%a5%e1%80%95%e1%80%99%e1%80%ac-%e1%80%95%e1%80%bc%e1%80%bf-%e1%80%94%e1%80%ac%e1%80%90%e1%80%85%e1%80%ba%e1%80%81%e1%80%af\/","title":{"rendered":"T test \u1010\u1005\u103a\u1001\u102f\u104f \u1025\u1015\u1019\u102c- \u1025\u1015\u1019\u102c \u1015\u103c\u103f\u1014\u102c \u1043 \u1001\u102f"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a\u104a <a href=\"https:\/\/statorials.org\/my\/\u101c\u1030\u1025\u102e\u1038\u101b\u1031\u1014\u103e\u1004\u1037\u103a-\u1014\u1019\u1030\u1014\u102c-1\/\" target=\"_blank\" rel=\"noopener\">\u101c\u1030\u1026\u1038\u101b\u1031\u104f<\/a> \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u101b\u103e\u102d\u104a \u1019\u101b\u103e\u102d \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a <a href=\"https:\/\/statorials.org\/my\/\u1014\u1019\u1030\u1014\u102c-t-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\/\" target=\"_blank\" rel=\"noopener\">\u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f t-test \u1000\u102d\u102f<\/a> \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1010\u100a\u103a\u1038 t-tests \u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u101e\u102f\u1036\u1038\u1019\u103b\u102d\u102f\u1038\u101c\u102f\u1036\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1021\u1019\u103c\u102e\u1038\u1014\u103e\u1005\u103a\u1001\u103b\u1031\u102c\u1004\u103a\u1038 \u1014\u1019\u1030\u1014\u102c t-test<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u100a\u102c\u1018\u1000\u103a\u1021\u1019\u103c\u102e\u1038\u1010\u1005\u103a\u1015\u102d\u102f\u1004\u103a\u1038\u1014\u1019\u1030\u1014\u102c t-test<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1014\u1019\u1030\u1014\u102c t-test \u1010\u1005\u103a\u1001\u102f\u1015\u1032 \u1000\u103b\u1014\u103a\u1001\u1032\u1037\u1010\u101a\u103a\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u101e\u103d\u102c\u1038\u1000\u103c\u101b\u1021\u1031\u102c\u1004\u103a!<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c 1- \u1021\u1019\u103c\u102e\u1038\u1014\u103e\u1005\u103a\u1001\u103b\u1031\u102c\u1004\u103a\u1038 \u1014\u1019\u1030\u1014\u102c T \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u101c\u102d\u1015\u103a\u1019\u103b\u102d\u102f\u1038\u1005\u102d\u1010\u103a\u1021\u1001\u103b\u102d\u102f\u1037\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u101e\u100a\u103a \u1015\u1031\u102b\u1004\u103a \u1043\u1041\u1040 \u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u104e\u1004\u103a\u1038\u1000\u102d\u102f\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1006\u1004\u1037\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u03b1 = 0.05 \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1010\u103d\u1004\u103a \u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f t-test \u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 1: \u1014\u1019\u1030\u1014\u102c\u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1005\u102f\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1000\u103b\u1015\u1014\u103a\u1038\u101c\u102d\u1015\u103a\u1014\u1019\u1030\u1014\u102c\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1005\u102f\u1006\u1031\u102c\u1004\u103a\u1038\u101e\u100a\u103a<\/span> <span style=\"color: #000000;\">\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037<\/span> \u104b<\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038 n = 40<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1014\u1019\u1030\u1014\u102c\u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a <span style=\"text-decoration: overline;\">x<\/span> = 300<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1014\u1019\u1030\u1014\u102c\u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a s = 18.5<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 2- \u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1021\u101a\u1030\u1021\u1006\u1019\u103b\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1014\u1019\u1030\u1014\u102c t-test \u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc = 310 (\u101c\u1030\u1026\u1038\u101b\u1031 \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u101e\u100a\u103a \u1005\u102c\u1021\u102f\u1015\u103a 310 \u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u100a\u103a)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> :<\/strong> \u03bc \u2260 310 (\u101c\u1030\u1026\u1038\u101b\u1031 \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u101e\u100a\u103a \u1015\u1031\u102b\u1004\u103a 310 \u1014\u103e\u1004\u1037\u103a \u1019\u100a\u102e\u1019\u103b\u103e)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 3- <em>t<\/em> -test \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1000\u102d\u102f\u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>t<\/strong> = ( <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> ) = <strong>-3.4187<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 4- <em>t-<\/em> \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u104f p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/my\/t-\u1021\u1019\u103e\u1010\u103a-p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a\/\" target=\"_blank\" rel=\"noopener\">P Value calculator \u101e\u102d\u102f\u1037 T \u101b\u1019\u103e\u1010\u103a<\/a> \u1021\u101b t = -3.4817 \u1014\u103e\u1004\u1037\u103a \u1006\u1000\u103a\u1005\u1015\u103a\u101e\u1031\u102c p \u1010\u1014\u103a\u1016\u102d\u102f\u1038 \u1014\u103e\u1004\u1037\u103a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e = n-1 = 40-1 = 39 \u101e\u100a\u103a <strong>0.00149<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 5: \u1000\u1031\u102c\u1000\u103a\u1001\u103b\u1000\u103a\u1006\u103d\u1032\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024 p-value \u101e\u100a\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u104f \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a \u03b1 = 0.05 \u1021\u1031\u102c\u1000\u103a\u1016\u103c\u1005\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1012\u102e\u101c\u102d\u1015\u103a\u1019\u103b\u102d\u102f\u1038\u1005\u102d\u1010\u103a\u1010\u103d\u1031\u101b\u1032\u1037 \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u101f\u102c \u1015\u1031\u102b\u1004\u103a \u1043\u1041\u1040 \u1014\u1032\u1037 \u1019\u100a\u102e\u1019\u103b\u103e\u1018\u1030\u1038\u101c\u102d\u102f\u1037 \u1015\u103c\u1031\u102c\u1016\u102d\u102f\u1037 \u101c\u102f\u1036\u101c\u1031\u102c\u1000\u103a\u1010\u1032\u1037 \u1021\u1011\u1031\u102c\u1000\u103a\u1021\u1011\u102c\u1038\u101b\u103e\u102d\u1015\u102b\u1010\u101a\u103a\u104b<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c 2- \u1021\u1019\u103c\u102e\u1038\u1016\u103c\u1031\u102c\u1004\u1037\u103a\u1014\u1019\u1030\u1014\u102c\u1010\u103d\u1004\u103a T-test<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c \u1000\u1031\u102c\u101c\u102d\u1015\u103a\u101d\u1004\u103a\u1001\u103d\u1004\u1037\u103a\u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u101b\u1019\u103e\u1010\u103a\u101e\u100a\u103a \u101c\u1000\u103a\u1001\u1036\u1011\u102c\u1038\u101e\u1031\u102c \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u101b\u1019\u103e\u1010\u103a 82 \u1011\u1000\u103a \u1015\u102d\u102f\u1019\u103b\u102c\u1038\u101e\u100a\u103a\u101f\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u101e\u1036\u101e\u101a\u101b\u103e\u102d\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u104e\u1004\u103a\u1038\u1000\u102d\u102f\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1006\u1004\u1037\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u03b1 = 0.05 \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1010\u103d\u1004\u103a \u1019\u103e\u1014\u103a\u1000\u1014\u103a\u101e\u1031\u102c\u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f t-test \u1000\u102d\u102f\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 1: \u1014\u1019\u1030\u1014\u102c\u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1005\u102f\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u101b\u101c\u1012\u103a\u104f \u1000\u103b\u1015\u1014\u103a\u1038\u1014\u1019\u1030\u1014\u102c\u1000\u102d\u102f \u1005\u102f\u1006\u1031\u102c\u1004\u103a\u1038\u1019\u100a\u103a<\/span> <span style=\"color: #000000;\">\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037<\/span> \u104b<\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038 n = 60<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1014\u1019\u1030\u1014\u102c\u1006\u102d\u102f\u101c\u102d\u102f <span style=\"text-decoration: overline;\">x<\/span> = 84<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1014\u1019\u1030\u1014\u102c\u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a s = 8.1<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 2- \u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1021\u101a\u1030\u1021\u1006\u1019\u103b\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1014\u1019\u1030\u1014\u102c t-test \u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u00b5 \u2264 82<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> :<\/strong> \u03bc &gt; 82<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 3- <em>t<\/em> -test \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1000\u102d\u102f\u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>t<\/strong> = ( <span style=\"text-decoration: overline;\">X<\/span> \u2013 \u03bc) \/ (s\/ <span style=\"text-decoration: overline;\">\u221an<\/span> ) = (84-82) \/ (8.1\/ <span style=\"text-decoration: overline;\">\u221a60<\/span> ) = <strong>1.9125<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 4- <em>t-<\/em> \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u104f p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/my\/t-\u1021\u1019\u103e\u1010\u103a-p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a\/\" target=\"_blank\" rel=\"noopener\">P-value \u1021\u1010\u103d\u1000\u103a T-score \u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a<\/a> \u1021\u101b\u104a t = 1.9125 \u1014\u103e\u1004\u1037\u103a\u1006\u1000\u103a\u1005\u1015\u103a\u101e\u1031\u102c p-value \u1014\u103e\u1004\u1037\u103a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e = n-1 = 60-1 = 59 \u101e\u100a\u103a <strong>0.0303<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 5: \u1000\u1031\u102c\u1000\u103a\u1001\u103b\u1000\u103a\u1006\u103d\u1032\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024 p-value \u101e\u100a\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u104f \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a \u03b1 = 0.05 \u1021\u1031\u102c\u1000\u103a\u1016\u103c\u1005\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1024\u1021\u1011\u1030\u1038\u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1010\u103d\u1004\u103a \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u101b\u1019\u103e\u1010\u103a\u101e\u100a\u103a 82 \u1021\u1011\u1000\u103a\u101b\u103e\u102d\u101e\u100a\u103a\u101f\u102f\u1006\u102d\u102f\u101b\u1014\u103a \u101c\u102f\u1036\u101c\u1031\u102c\u1000\u103a\u101e\u1031\u102c \u1021\u1011\u1031\u102c\u1000\u103a\u1021\u1011\u102c\u1038\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c 3- \u1018\u101a\u103a\u1018\u1000\u103a\u101b\u103e\u102d \u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a T \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1015\u102b\u104b<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u1021\u1015\u1004\u103a\u1019\u103b\u102d\u102f\u1038\u1005\u102d\u1010\u103a\u1010\u1005\u103a\u1001\u102f\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1019\u103c\u1004\u1037\u103a\u101e\u100a\u103a \u101c\u1000\u103a\u1001\u1036\u1011\u102c\u1038\u101e\u1031\u102c \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1019\u103c\u1004\u1037\u103a 10 \u101c\u1000\u103a\u1019\u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u100a\u103a\u101f\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u1036\u101e\u101a\u101b\u103e\u102d\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u104e\u1004\u103a\u1038\u1000\u102d\u102f\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a\u104a \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b\u1021\u1006\u1004\u1037\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u03b1 = 0.05 \u1011\u1004\u103a\u101b\u103e\u102c\u1038\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1010\u103d\u1004\u103a \u1018\u101a\u103a\u1018\u1000\u103a\u1014\u1019\u1030\u1014\u102c t-test \u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 1: \u1014\u1019\u1030\u1014\u102c\u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1005\u102f\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1021\u1015\u1004\u103a\u1019\u103b\u102c\u1038\u104f \u1000\u103b\u1015\u1014\u103a\u1038\u1014\u1019\u1030\u1014\u102c\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1005\u102f\u1006\u1031\u102c\u1004\u103a\u1038\u1019\u100a\u103a<\/span> <span style=\"color: #000000;\">\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037<\/span> \u104b<\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038 n = 25<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1014\u1019\u1030\u1014\u102c\u1006\u102d\u102f\u101c\u102d\u102f <span style=\"text-decoration: overline;\">x<\/span> = 9.5<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1014\u1019\u1030\u1014\u102c\u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a s = 3.5<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 2- \u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1021\u101a\u1030\u1021\u1006\u1019\u103b\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1014\u1019\u1030\u1014\u102c t-test \u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u00b5 \u2265 10<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> :<\/strong> \u03bc &lt; 10<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 3- <em>t<\/em> -test \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1000\u102d\u102f\u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>t<\/strong> = ( <span style=\"text-decoration: overline;\">x<\/span> \u2013 \u03bc) \/ (s\/ <span style=\"text-decoration: overline;\">\u221an<\/span> ) = (9.5-10) \/ (3.5\/ <span style=\"text-decoration: overline;\">\u221a25<\/span> ) = <strong>-0.7143<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 4- <em>t-<\/em> \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u104f p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/my\/t-\u1021\u1019\u103e\u1010\u103a-p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a\/\" target=\"_blank\" rel=\"noopener\">P Value calculator \u101e\u102d\u102f\u1037 T \u101b\u1019\u103e\u1010\u103a<\/a> \u1021\u101b t = -0.7143 \u1014\u103e\u1004\u1037\u103a \u1006\u1000\u103a\u1005\u1015\u103a\u101e\u1031\u102c p \u1010\u1014\u103a\u1016\u102d\u102f\u1038 \u1014\u103e\u1004\u1037\u103a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e = n-1 = 25-1 = 24 \u101e\u100a\u103a <strong>0.24097<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1021\u1006\u1004\u1037\u103a 5: \u1000\u1031\u102c\u1000\u103a\u1001\u103b\u1000\u103a\u1006\u103d\u1032\u1015\u102b\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024 p-value \u101e\u100a\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u104f \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a \u03b1 = 0.05 \u1011\u1000\u103a \u1019\u1014\u102d\u1019\u1037\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101b\u1014\u103a \u1015\u103b\u1000\u103a\u1000\u103d\u1000\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1024\u1021\u1015\u1004\u103a\u1019\u103b\u102d\u102f\u1038\u1005\u102d\u1010\u103a\u1019\u103b\u102c\u1038\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1019\u103c\u1004\u1037\u103a\u1019\u103e\u102c \u1041\u1040 \u101c\u1000\u103a\u1019\u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u100a\u103a\u101f\u102f\u1006\u102d\u102f\u101b\u1014\u103a \u101c\u102f\u1036\u101c\u1031\u102c\u1000\u103a\u101e\u1031\u102c\u1021\u1011\u1031\u102c\u1000\u103a\u1021\u1011\u102c\u1038\u1019\u101b\u103e\u102d\u1015\u102b\u104b<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u1011\u1015\u103a\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u101b\u1004\u103a\u1038\u1021\u1019\u103c\u1005\u103a\u1019\u103b\u102c\u1038<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1014\u1031\u102c\u1000\u103a\u1011\u1015\u103a\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u1031\u1038\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/my\/\u1014\u1019\u1030\u1014\u102c-t-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\/\" target=\"_blank\" rel=\"noopener\">\u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1010\u100a\u103a\u1038 t-test \u1000\u102d\u102f \u1019\u102d\u1010\u103a\u1006\u1000\u103a\u1001\u103c\u1004\u103a\u1038\u104b<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/\u1014\u1019\u1030\u1014\u102c-t-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a\/\" target=\"_blank\" rel=\"noopener\">t-test calculator \u104f\u1025\u1015\u1019\u102c<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/\u1014\u1019\u1030\u1014\u102c-t-test-excel-\u1010\u1005\u103a\u1001\u102f\/\" target=\"_blank\" rel=\"noopener\">Excel \u1010\u103d\u1004\u103a \u1014\u1019\u1030\u1014\u102c t-test \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b<\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a\u104a \u101c\u1030\u1026\u1038\u101b\u1031\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u101b\u103e\u102d\u104a \u1019\u101b\u103e\u102d \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f t-test \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1010\u100a\u103a\u1038 t-tests \u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u101e\u102f\u1036\u1038\u1019\u103b\u102d\u102f\u1038\u101c\u102f\u1036\u1038\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a- \u1021\u1019\u103c\u102e\u1038\u1014\u103e\u1005\u103a\u1001\u103b\u1031\u102c\u1004\u103a\u1038 \u1014\u1019\u1030\u1014\u102c t-test \u100a\u102c\u1018\u1000\u103a\u1021\u1019\u103c\u102e\u1038\u1010\u1005\u103a\u1015\u102d\u102f\u1004\u103a\u1038\u1014\u1019\u1030\u1014\u102c t-test \u1014\u1019\u1030\u1014\u102c t-test \u1010\u1005\u103a\u1001\u102f\u1015\u1032 \u1000\u103b\u1014\u103a\u1001\u1032\u1037\u1010\u101a\u103a\u104b \u101e\u103d\u102c\u1038\u1000\u103c\u101b\u1021\u1031\u102c\u1004\u103a! \u1025\u1015\u1019\u102c 1- \u1021\u1019\u103c\u102e\u1038\u1014\u103e\u1005\u103a\u1001\u103b\u1031\u102c\u1004\u103a\u1038 \u1014\u1019\u1030\u1014\u102c T \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f \u101c\u102d\u1015\u103a\u1019\u103b\u102d\u102f\u1038\u1005\u102d\u1010\u103a\u1021\u1001\u103b\u102d\u102f\u1037\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u101e\u100a\u103a \u1015\u1031\u102b\u1004\u103a \u1043\u1041\u1040 \u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b \u104e\u1004\u103a\u1038\u1000\u102d\u102f\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1006\u1004\u1037\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u03b1 = 0.05 \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1010\u103d\u1004\u103a \u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f t-test \u1000\u102d\u102f \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1015\u102b\u1019\u100a\u103a\u104b \u1021\u1006\u1004\u1037\u103a 1: \u1014\u1019\u1030\u1014\u102c\u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1005\u102f\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u104b \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1016\u103c\u1004\u1037\u103a 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