{"id":3771,"date":"2023-07-15T15:42:15","date_gmt":"2023-07-15T15:42:15","guid":{"rendered":"https:\/\/statorials.org\/my\/t-%e1%80%85%e1%80%ac%e1%80%99%e1%80%b1%e1%80%b8%e1%80%95%e1%80%bd%e1%80%b2%e1%80%a1%e1%80%90%e1%80%bd%e1%80%80%e1%80%ba-%e1%80%9c%e1%80%bd%e1%80%90%e1%80%ba%e1%80%9c%e1%80%95%e1%80%ba%e1%80%99\/"},"modified":"2023-07-15T15:42:15","modified_gmt":"2023-07-15T15:42:15","slug":"t-%e1%80%85%e1%80%ac%e1%80%99%e1%80%b1%e1%80%b8%e1%80%95%e1%80%bd%e1%80%b2%e1%80%a1%e1%80%90%e1%80%bd%e1%80%80%e1%80%ba-%e1%80%9c%e1%80%bd%e1%80%90%e1%80%ba%e1%80%9c%e1%80%95%e1%80%ba%e1%80%99","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/t-%e1%80%85%e1%80%ac%e1%80%99%e1%80%b1%e1%80%b8%e1%80%95%e1%80%bd%e1%80%b2%e1%80%a1%e1%80%90%e1%80%bd%e1%80%80%e1%80%ba-%e1%80%9c%e1%80%bd%e1%80%90%e1%80%ba%e1%80%9c%e1%80%95%e1%80%ba%e1%80%99\/","title":{"rendered":"T \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u102d\u102f\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038"},"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 \u1021\u101e\u102f\u1036\u1038\u1019\u103b\u102c\u1038\u101e\u1031\u102c t-test \u101e\u102f\u1036\u1038\u1001\u102f\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/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<\/a> : \u101c\u1030\u1026\u1038\u101b\u1031\u104f \u1006\u102d\u102f\u101c\u102d\u102f\u101b\u1004\u103a\u1038\u1000\u102d\u102f \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/my\/\u101e\u1004\u103a\u104f\u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u102d\u102f-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1015\u102b\u104b\/\" target=\"_blank\" rel=\"noopener\">\u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f t-test<\/a> : \u101c\u1030\u1026\u1038\u101b\u1031\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/my\/\u1010\u103d\u1032\u1011\u102c\u1038\u101e\u1031\u102c-\u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038-t-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\/\" target=\"_blank\" rel=\"noopener\">\u1010\u103d\u1032\u1011\u102c\u1038\u101e\u1031\u102c\u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038 t-test<\/a> \u2212 \u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u101b\u103e\u102d \u101b\u103e\u102f\u1019\u103c\u1004\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1010\u103d\u1004\u103a \u1021\u1001\u103c\u102c\u1038\u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1019\u103e \u1005\u1030\u1038\u1005\u1019\u103a\u1038\u101c\u1031\u1037\u101c\u102c\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1006\u1000\u103a\u1005\u1015\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c\u1021\u1001\u102b \u101c\u1030\u1026\u1038\u101b\u1031\u1014\u103e\u1005\u103a\u1001\u102f\u104f\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1000\u102d\u102f \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">t-test \u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f run \u101e\u1031\u102c\u1021\u1001\u102b\u104a \u101e\u1004\u103a\u101e\u100a\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u101e\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u101b\u102c <strong>\u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e\u1000\u102d\u102f<\/strong> \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u101e\u100a\u103a\u1019\u103e\u102c \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f t-test- df = n-1<\/strong> \u1014\u1031\u101b\u102c\u1010\u103d\u1004\u103a <em>n<\/em> \u101e\u100a\u103a \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1031\u1037\u101c\u102c\u1001\u103b\u1000\u103a\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f t-test- df = n <sub>1<\/sub> + n <sub>2<\/sub> \u2013 2<\/strong> \u1014\u1031\u101b\u102c\u1010\u103d\u1004\u103a <em>n <sub>1<\/sub><\/em> \u104a <em>n <sub>2<\/sub><\/em> \u101e\u100a\u103a \u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u104f \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1031\u1037\u101c\u102c\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1001\u103b\u1000\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1010\u103d\u1032\u1011\u102c\u1038\u101e\u1031\u102c \u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038 t-test- n-1<\/strong> \u1014\u1031\u101b\u102c\u1010\u103d\u1004\u103a <em>n<\/em> \u101e\u100a\u103a \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u1021\u1010\u103d\u1032\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1016\u103c\u1005\u103a\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 \u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1010\u103d\u1004\u103a t-test \u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c 1- \u1014\u1019\u1030\u1014\u102c t-test \u1021\u1010\u103d\u1000\u103a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e<\/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;\">\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;\">\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;\">H <sub>0<\/sub> : \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;\">H <sub>A<\/sub> : \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;\">\u1015\u1011\u1019\u1026\u1038\u1005\u103d\u102c \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u1019\u100a\u103a-<\/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;\">\u1006\u1000\u103a\u101c\u1000\u103a\u104d <strong>\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u1019\u100a\u103a-<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">df = n -1 = 40 \u2013 1 = 39<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1014\u1031\u102c\u1000\u103a\u1006\u102f\u1036\u1038\u1010\u103d\u1004\u103a\u104a p-value \u101e\u100a\u103a <strong>0.00149<\/strong> \u1016\u103c\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1014\u103a <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 T-score \u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a<\/a> \u1010\u103d\u1004\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1001\u103b\u102d\u1010\u103a\u1006\u1000\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/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- \u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f t-test \u1021\u1010\u103d\u1000\u103a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u101c\u102d\u1015\u103a\u1019\u103b\u102d\u102f\u1038\u1005\u102d\u1010\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u101e\u100a\u103a \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u101b\u103e\u102d\u104a \u1019\u101b\u103e\u102d \u101e\u102d\u101c\u102d\u102f\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/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 \u101c\u1030\u1026\u1038\u101b\u1031\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1019\u103e \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\u1011\u102c\u1038\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1014\u1019\u1030\u1014\u102c 1-<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038 n <sub>1<\/sub> = 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> <sub>1<\/sub> = 300<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1014\u1019\u1030\u1014\u102c\u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a s <sub>1<\/sub> = 18.5<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>\u1014\u1019\u1030\u1014\u102c 2-<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038 n <sub>2<\/sub> = 38<\/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> <sub>2<\/sub> = 305<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1014\u1019\u1030\u1014\u102c\u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a s <sub>2<\/sub> = 16.7<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1014\u1019\u1030\u1014\u102c t-test \u1014\u103e\u1005\u103a\u1001\u102f\u1000\u102d\u102f \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;\">H <sub>0<\/sub> : \u03bc <sub>1<\/sub> = \u03bc <sub>2<\/sub> (\u101c\u1030\u1026\u1038\u101b\u1031 \u1014\u103e\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1010\u1030\u100a\u102e\u101e\u100a\u103a)<\/span><\/li>\n<li> <span style=\"color: #000000;\">H <sub>A<\/sub> : \u03bc <sub>1<\/sub> \u2260 \u03bc <sub>2<\/sub> (\u101c\u1030\u1026\u1038\u101b\u1031 \u1014\u103e\u1005\u103a\u1001\u102f \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1019\u103e\u102c \u1019\u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1015\u1011\u1019\u1026\u1038\u1005\u103d\u102c\u104a \u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f s <sub>p<\/sub> \u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">s <sub>p<\/sub> = \u221a <span style=\"border-top: 1px solid black;\">(n <sub>1<\/sub> -1)s <sub>1<\/sub> <sup>2<\/sup> + (n <sub>2<\/sub> -1)s <sub>2<\/sub> <sup>2<\/sup> \/ (n <sub>1<\/sub> +n <sub>2<\/sub> -2) = \u221a (<\/span> <span style=\"border-top: 1px solid black;\">40-1)18.5 <sup>2<\/sup> + (38-1) 16.7 <sup>2\u104a<\/sup> \/(40+38-2)<\/span> = 17.647<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a <em>t<\/em> -test statistic \u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">t = ( <span style=\"border-top: 1px solid black;\">x<\/span> <sub>1<\/sub> \u2013 <span style=\"border-top: 1px solid black;\">x<\/span> <sub>2<\/sub> ) \/ s <sub>p<\/sub> (\u221a <span style=\"border-top: 1px solid black;\">1\/n <sub>1<\/sub> + 1\/n <sub>2<\/sub><\/span> ) = (300-305) \/ 17.647(\u221a <span style=\"border-top: 1px solid black;\">1\/40 + 1\/38<\/span> ) = -1.2508<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1006\u1000\u103a\u101c\u1000\u103a\u104d <strong>\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u1019\u100a\u103a-<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">df = n <sub>1<\/sub> + n <sub>2<\/sub> \u2013 2 = 40 + 38 \u2013 2 = 76<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1014\u1031\u102c\u1000\u103a\u1006\u102f\u1036\u1038\u1010\u103d\u1004\u103a\u104a p-value \u101e\u100a\u103a <strong>0.21484<\/strong> \u1016\u103c\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1014\u103a <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 T-score \u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a<\/a> \u1010\u103d\u1004\u103a \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1001\u103b\u102d\u1010\u103a\u1006\u1000\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/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\u101c\u1030\u1026\u1038\u101b\u1031\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u101c\u102d\u1015\u103a\u1019\u103b\u102c\u1038\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u101e\u100a\u103a \u1000\u103d\u102c\u1001\u103c\u102c\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>\u1025\u1015\u1019\u102c 3- \u1010\u103d\u1032\u1011\u102c\u1038\u101e\u1031\u102c \u1014\u1019\u1030\u1014\u102c t-test \u1021\u1010\u103d\u1000\u103a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u1000\u1031\u102c\u101c\u102d\u1015\u103a\u1018\u1010\u103a\u1005\u1000\u1000\u103a\u1018\u1031\u102c\u1000\u1005\u102c\u1038\u101e\u1019\u102c\u1038\u1019\u103b\u102c\u1038\u104f \u1021\u1019\u103c\u1004\u1037\u103a\u1006\u102f\u1036\u1038\u1012\u1031\u102b\u1004\u103a\u101c\u102d\u102f\u1000\u103a\u1001\u102f\u1014\u103a\u1001\u103c\u1004\u103a\u1038 (\u101c\u1000\u103a\u1019\u1021\u1010\u103d\u1004\u103a\u1038) \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u101b\u1031\u1038\u1021\u1005\u102e\u1021\u1005\u1009\u103a\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u101e\u102d\u1001\u103b\u1004\u103a\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\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1000\u1031\u102c\u101c\u102d\u1015\u103a\u1018\u1010\u103a\u1005\u1000\u1010\u103a\u1018\u1031\u102c\u1000\u1005\u102c\u1038\u101e\u1019\u102c\u1038 20 \u1026\u1038\u104f <a href=\"https:\/\/statorials.org\/my\/\u1014\u1019\u1030\u1014\u102c\u101a\u1030\u1014\u100a\u103a\u1038\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener\">\u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c\u1000\u103b\u1015\u1014\u103a\u1038\u1014\u1019\u1030\u1014\u102c<\/a> \u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1005\u102f\u1006\u1031\u102c\u1004\u103a\u1038\u1000\u102c \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u104f \u1021\u1019\u103b\u102c\u1038\u1006\u102f\u1036\u1038\u1012\u1031\u102b\u1004\u103a\u101c\u102d\u102f\u1000\u103a\u1001\u102f\u1014\u103a\u1001\u103c\u1004\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a \u1000\u1005\u102c\u1038\u101e\u1019\u102c\u1038\u1010\u1005\u103a\u1026\u1038\u1005\u102e\u1021\u102c\u1038 \u1010\u1005\u103a\u101c\u1000\u103c\u102c \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u101b\u1031\u1038\u1021\u1005\u102e\u1021\u1005\u1009\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1000\u102c \u101c\u1000\u102f\u1014\u103a\u1010\u103d\u1004\u103a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u104f\u1021\u1019\u103c\u1004\u1037\u103a\u1006\u102f\u1036\u1038\u1012\u1031\u102b\u1004\u103a\u101c\u102d\u102f\u1000\u103a\u1001\u102f\u1014\u103a\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f \u1011\u1015\u103a\u1019\u1036\u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7956 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/jumelet1.png\" alt=\"Paired T Test Dataset \u1014\u1019\u1030\u1014\u102c\" width=\"348\" height=\"443\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u101b\u1031\u1038\u1021\u1005\u102e\u1021\u1005\u1009\u103a\u101e\u100a\u103a \u1021\u1019\u103c\u1004\u1037\u103a\u1006\u102f\u1036\u1038\u1012\u1031\u102b\u1004\u103a\u101c\u102d\u102f\u1000\u103a\u1001\u102f\u1014\u103a\u1001\u103c\u1004\u103a\u1038\u1021\u1015\u1031\u102b\u103a \u1021\u1019\u103e\u1014\u103a\u1010\u1000\u101a\u103a\u1021\u1000\u103b\u102d\u102f\u1038\u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a\u104a \u1010\u103d\u1032\u1011\u102c\u1038\u101e\u1031\u102c\u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u1000\u102d\u102f t-test \u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1015\u1011\u1019\u1026\u1038\u1005\u103d\u102c\u104a \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1000\u103b\u1009\u103a\u1038\u1001\u103b\u102f\u1015\u103a\u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><span style=\"text-decoration: overline;\">x<\/span> <sub>diff<\/sub> : \u1014\u1019\u1030\u1014\u102c \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e \u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038 = -0.95<\/span><\/li>\n<li> <span style=\"color: #000000;\">s: \u1014\u1019\u1030\u1014\u102c\u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f = 1.317<\/span><\/li>\n<li> <span style=\"color: #000000;\">n: \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038 (\u1021\u1010\u103d\u1032\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a) = 20<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1010\u103d\u1032\u1011\u102c\u1038\u101e\u1031\u102c \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<ul>\n<li> <span style=\"color: #000000;\">H <sub>0<\/sub> : \u03bc <sub>1<\/sub> = \u03bc <sub>2<\/sub> (\u101c\u1030\u1026\u1038\u101b\u1031 \u1014\u103e\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1010\u1030\u100a\u102e\u101e\u100a\u103a)<\/span><\/li>\n<li> <span style=\"color: #000000;\">H <sub>A<\/sub> : \u03bc <sub>1<\/sub> \u2260 \u03bc <sub>2<\/sub> (\u101c\u1030\u1026\u1038\u101b\u1031 \u1014\u103e\u1005\u103a\u1001\u102f \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1019\u103e\u102c \u1019\u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u1019\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\">t = <span style=\"text-decoration: overline;\">x<\/span> <sub>diff<\/sub> \/ (s <sub>diff<\/sub> \/\u221an) = -0.95 \/ (1.317\/\u221a20) = -3.226<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a\u104a <strong>\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f \u1012\u102e\u1002\u101b\u102e\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u1019\u100a\u103a<\/strong> \u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">df = n \u2013 1 = 20 \u2013 1 = 19<\/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 = -3.226 \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 = 20-1 = 19 \u101e\u100a\u103a <strong>0.00445<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/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 \u1000\u1005\u102c\u1038\u101e\u1019\u102c\u1038\u1019\u103b\u102c\u1038\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1019\u103c\u1004\u1037\u103a\u1006\u102f\u1036\u1038 \u1012\u1031\u102b\u1004\u103a\u101c\u102d\u102f\u1000\u103a\u1001\u102f\u1014\u103a\u1001\u103c\u1004\u103a\u1038\u101e\u100a\u103a \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u101b\u1031\u1038\u1021\u1005\u102e\u1021\u1005\u1009\u103a\u1010\u103d\u1004\u103a \u1019\u1015\u102b\u101d\u1004\u103a\u1019\u102e\u1014\u103e\u1004\u1037\u103a \u1021\u1015\u103c\u102e\u1038\u1010\u103d\u1004\u103a \u1000\u103d\u1032\u1015\u103c\u102c\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\u101b\u103e\u102d\u101e\u100a\u103a\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;\">\u101e\u1004\u103a\u1015\u1031\u1038\u101e\u1031\u102c\u1012\u1031\u1010\u102c\u1021\u1015\u1031\u102b\u103a\u1021\u1001\u103c\u1031\u1001\u1036\u104d t-tests \u1000\u102d\u102f\u1021\u101c\u102d\u102f\u1021\u101c\u103b\u1031\u102c\u1000\u103a\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <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\/ta-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1002\u100f\u1014\u103a\u1038\u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1000\u103a-\u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f\/\" target=\"_blank\" rel=\"noopener\">\u1014\u1019\u1030\u1014\u102c t-test \u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a \u1014\u103e\u1005\u103a\u1001\u102f<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/\u1010\u103d\u1032\u1011\u102c\u1038\u101e\u1031\u102c-\u1014\u1019\u1030\u1014\u102c-t-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1002\u100f\u1014\u103a\u1038\u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1000\u103a\/\" target=\"_blank\" rel=\"noopener\">Paired Samples t-Test Calculator<\/a><\/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 \u1021\u101e\u102f\u1036\u1038\u1019\u103b\u102c\u1038\u101e\u1031\u102c t-test \u101e\u102f\u1036\u1038\u1001\u102f\u101b\u103e\u102d\u101e\u100a\u103a\u104b \u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1010\u100a\u103a\u1038 t-test : \u101c\u1030\u1026\u1038\u101b\u1031\u104f \u1006\u102d\u102f\u101c\u102d\u102f\u101b\u1004\u103a\u1038\u1000\u102d\u102f \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b \u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f t-test : \u101c\u1030\u1026\u1038\u101b\u1031\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b \u1010\u103d\u1032\u1011\u102c\u1038\u101e\u1031\u102c\u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038 t-test \u2212 \u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u101b\u103e\u102d \u101b\u103e\u102f\u1019\u103c\u1004\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1010\u103d\u1004\u103a \u1021\u1001\u103c\u102c\u1038\u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1019\u103e \u1005\u1030\u1038\u1005\u1019\u103a\u1038\u101c\u1031\u1037\u101c\u102c\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1006\u1000\u103a\u1005\u1015\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c\u1021\u1001\u102b \u101c\u1030\u1026\u1038\u101b\u1031\u1014\u103e\u1005\u103a\u1001\u102f\u104f\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1000\u102d\u102f \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b t-test \u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f run \u101e\u1031\u102c\u1021\u1001\u102b\u104a \u101e\u1004\u103a\u101e\u100a\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u101e\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1024\u101e\u100a\u103a\u1019\u103e\u102c \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f t-test- df = n-1 \u1014\u1031\u101b\u102c\u1010\u103d\u1004\u103a n \u101e\u100a\u103a \u1005\u102f\u1005\u102f\u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1031\u1037\u101c\u102c\u1001\u103b\u1000\u103a\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f t-test- df [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u1019\u100a\u103a\u101e\u100a\u1037\u103a T-Test 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