英文补习班学生两次托福模拟测试分数.doc

英文補習班學生兩次托福模擬測試分數第一組“補習前”的資料為學生補習前測試實力的分數(設定亂數資料：N=100,M=450,S=50)第二組“補習後”的資料為學生補習後再次測試的分數(設定亂數資料：N=1000,M=500,S=30)類組別、年齡層亂數設定如下類別機率年齡層機率1(文組)0.3135歲以下0.612(理組)0.233(法組)0.2735歲以上0.394(商組)0.19分析結果：(電腦分析數值資料附在檔案最下面)年齡類組人數35歲以前1(文組)1812(理組)1403(法組)1814(商組)12635歲以後1(文組)1262(理組)1033(法組)784(商組)65補習前補習後補習後標準差差異95%信賴區間年齡類組平均標準差平均標準差35歲以前1(文組)447.2551.50500.2829.9153.03(46.8870, 52.6008)2(理組)453.8749.15498.6029.8444.73(41.3648, 48.1082)3(法組)454.2652.43500.3327.1046.06(42.3059, 49.8319)4(商組)449.9447.09499.6931.5149.74(46.8870, 52.6008)35歲以後1(文組)445.7750.27503.3530.3957.58(53.9137, 61.2482)2(理組)445.4049.94506.4631.0261.06(57.2288, 64.9005)3(法組)453.8548.04498.2530.2944.40(39.8658, 48.9380)4(商組)449.5750.14506.0031.1256.42(51.3051, 61.5384)結論分析：補習前35歲以前法組平均最好，補習後36遂以後理組最好，補習前後平均進步最多36遂以後理組。附錄電腦數據分析結果：Paired T-Test and CI: 1351, 0351 Paired T for 0351 1351 N Mean StDev SE Mean0351 181 447.252 51.504 3.8281351 181 500.287 29.918 2.224Difference 181 -53.0350 21.8493 1.624095% CI for mean difference: (-56.2396, -49.8304)T-Test of mean difference = 0 (vs not = 0): T-Value = -32.66 P-Value = 0.000Paired T-Test and CI: 1352, 0352 Paired T for 1352 - 0352 N Mean StDev SE Mean1352 140 498.608 29.849 2.5230352 140 453.871 49.157 4.154Difference 140 44.7365 20.1773 1.705395% CI for mean difference: (41.3648, 48.1082)T-Test of mean difference = 0 (vs not = 0): T-Value = 26.23 P-Value = 0.000Paired T-Test and CI: 1353, 0353 Paired T for 1353 - 0353 N Mean StDev SE Mean1353 181 500.331 27.107 2.0150353 181 454.262 52.434 3.897Difference 181 46.0689 25.6566 1.907095% CI for mean difference: (42.3059, 49.8319)T-Test of mean difference = 0 (vs not = 0): T-Value = 24.16 P-Value = 0.000Paired T-Test and CI: 1354, 0354 Paired T for 1354 - 0354 N Mean StDev SE Mean1354 126 499.690 31.511 2.8070354 126 449.946 47.090 4.195Difference 126 49.7439 16.2033 1.443595% CI for mean difference: (46.8870, 52.6008)T-Test of mean difference = 0 (vs not = 0): T-Value = 34.46 P-Value = 0.000Paired T-Test and CI: 1361, 0361 Paired T for 1361 - 0361 N Mean StDev SE Mean1361 126 503.351 30.395 2.7080361 126 445.770 50.272 4.479Difference 126 57.5809 20.7993 1.853095% CI for mean difference: (53.9137, 61.2482)T-Test of mean difference = 0 (vs not = 0): T-Value = 31.08 P-Value = 0.000Paired T-Test and CI: 1362, 0362 Paired T for 1362 - 0362 N Mean StDev SE Mean1362 103 506.467 31.026 3.0570362 103 445.402 49.944 4.921Difference 103 61.0647 19.6269 1.933995% CI for mean difference: (57.2288, 64.9005)T-Test of mean difference = 0 (vs not = 0): T-Value = 31.58 P-Value = 0.000 Paired T-Test and CI: 1363, 0363 Paired T for 1363 - 0363 N Mean StDev SE Mean1363 78 498.257 30.295 3.4300363 78 453.855 48.040 5.439Difference 78 44.4019 20.1190 2.278095% CI for mean difference: (39.8658, 48.9380)T-Test of mean difference = 0 (vs not = 0): T-Value = 19.49 P-Value = 0.000Paired T-Test and CI: 1364, 0364 Paired T for 1364 - 0364 N Mean StDev SE Mean1364 65 506.001 31.123 3.8600364 65 449.579 50.141 6.219