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06 - 2_Sample_Tests - 2-Sample Independent Mean/Dispersion...

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2-Sample Independent Mean/Dispersion Tests Data Sample1Sample2 Name1 Name2 Descriptives 95% Confidence Intervals 1 1547 1366 Sample 1Sample 2 LL PE UL 2 1299 1547 Sample Size 27 27 n Mean 1 1338.97 1381.30 1423.63 3 1508 1530 Mean 1381.30 1374.96 x-bar Mean 2 1337.14 1374.96 1412.78 4 1323 1500 Variance ### 9140.42 Variance 1 7101.12 ### ### 5 1294 1411 Std Dev. 107.00 95.61 Variance 2 5668.73 9140.42 ### 6 1566 1290 Mean Difference 6.3333 Std Dev 1 84.27 107.00 146.64 7 1318 1313 Significance 5% α Std Dev 2 75.29 95.61 131.02 8 1349 1390 Diff Means (Eq Var) -49.08 6.33 61.75 9 1254 1466 Diff Means (Uneq Var) -49.11 6.33 61.77 10 1465 1528 11 1474 1369 Test Statistic 1.2527 F 12 1271 1239 df1 26 13 1325 1293 df2 26 14 1238 1316 15 1340 1518 Null Hypothesi Decision 16 1333 1435 0.4557 2.1943 0.5698 17 1239 1264 0.5183 NA 0.7151 18 1314 1293 NA 1.9292 0.2849 19 1436 1359 20 1342 1280 21 1524 1352 22 1490 1426 Assuming Population Variances are Equal 23 1400 1302 Pooled Variance ### 24 1533 1271 Test Statistic 0.2293 t 25 1535 1326 df 52 26 1290 1267 27 1288 1473 Null Hypothesis t-critical Decision 0 2.0066 0.8195 0 1.6747 0.5902 0 -1.6747 0.4098 Assuming Population Variances are Unequal Test Statistic 0.2293 t df 51.3539 Null Hypothesis t-critical Decision 0 2.0076 0.8195 0 1.6753 0.5902 0 -1.6753 0.4098 x x s s s s s s x - x x - x F -Test for Equality of Variances ν ν F F p -value H : σ - σ = 0 H : σ - σ ≥ 0 H : σ - σ ≤ 0 t -Test for Difference in Population Means s p -value H : μ = H : μ H : μ p -value H : μ = H : μ H : μ
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2-Sample Independent Mean/Dispersion Tests Descriptives 95% Confidence Intervals Sample 1Sample 2 LL PE UL Sample Size 27 27 n Mean 1 1338.97 1381.30 1423.63 Mean 1381.30 1374.96 x-bar Mean 2 1337.14 1374.96 1412.78 Variance ### 9140.42 Variance 1 7101.12 ### ### Std Dev. 107.00 95.61 Variance 2 5668.73 9140.42 ### Mean Difference 6.3333 Std Dev 1 84.27 107.00 146.64 Significance 5% α Std Dev 2 75.29 95.61 131.02 Diff Means (Eq Var) -49.08 6.33 61.75 Diff Means (Uneq Var) -49.11 6.33 61.77 Test Statistic 1.2527 F df1 26 df2 26 Null Hypothesi Decision 0.4557 2.1943 0.5698 0.5183 NA 0.7151 NA 1.9292 0.2849 Assuming Population Variances are Equal Pooled Variance ### Test Statistic 0.2293 t df 52 Null Hypothesis t-critical Decision 0 2.0066 0.8195 0 1.6747 0.5902 0 -1.6747 0.4098 Assuming Population Variances are Unequal
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