--------------------------------- group=a ---------------------------------- The UNIVARIATE Procedure Variable: x Moments N 7 Sum Weights 7 Mean 76.8571429 Sum Observations 538 Std Deviation 2.54483604 Variance 6.47619048 Skewness -0.0329387 Kurtosis -0.6276384 Uncorrected SS 41388 Corrected SS 38.8571429 Coeff Variation 3.31112496 Std Error Mean 0.96185761 Basic Statistical Measures Location Variability Mean 76.85714 Std Deviation 2.54484 Median 77.00000 Variance 6.47619 Mode 77.00000 Range 7.00000 Interquartile Range 5.00000 NOTE: The mode displayed is the smallest of 2 modes with a count of 2. Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 79.90491 Pr > |t| <.0001 Sign M 3.5 Pr >= |M| 0.0156 Signed Rank S 14 Pr >= |S| 0.0156 Tests for Normality Test --Statistic--- -----p Value------ Shapiro-Wilk W 0.932031 Pr < W 0.5683 Kolmogorov-Smirnov D 0.191902 Pr > D >0.1500 Cramer-von Mises W-Sq 0.040002 Pr > W-Sq >0.2500 Anderson-Darling A-Sq 0.274522 Pr > A-Sq >0.2500 Quantiles (Definition 5) Quantile Estimate 100% Max 80 99% 80 95% 80 90% 80 75% Q3 80 50% Median 77 25% Q1 75 --------------------------------- group=a ---------------------------------- The UNIVARIATE Procedure Variable: x Quantiles (Definition 5) Quantile Estimate 10% 73 5% 73 1% 73 0% Min 73 Extreme Observations ----Lowest---- ----Highest--- Value Obs Value Obs 73 7 76 2 75 1 77 4 76 2 77 6 77 6 80 3 77 4 80 5 --------------------------------- group=b ---------------------------------- The UNIVARIATE Procedure Variable: x Moments N 7 Sum Weights 7 Mean 82.7142857 Sum Observations 579 Std Deviation 3.14718317 Variance 9.9047619 Skewness -0.1713987 Kurtosis -0.9253513 Uncorrected SS 47951 Corrected SS 59.4285714 Coeff Variation 3.80488466 Std Error Mean 1.18952343 Basic Statistical Measures Location Variability Mean 82.71429 Std Deviation 3.14718 Median 82.00000 Variance 9.90476 Mode 82.00000 Range 9.00000 Interquartile Range 5.00000 NOTE: The mode displayed is the smallest of 2 modes with a count of 2. Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 69.53565 Pr > |t| <.0001 Sign M 3.5 Pr >= |M| 0.0156 Signed Rank S 14 Pr >= |S| 0.0156 Tests for Normality Test --Statistic--- -----p Value------ Shapiro-Wilk W 0.958273 Pr < W 0.8038 Kolmogorov-Smirnov D 0.194736 Pr > D >0.1500 Cramer-von Mises W-Sq 0.039022 Pr > W-Sq >0.2500 Anderson-Darling A-Sq 0.230488 Pr > A-Sq >0.2500 Quantiles (Definition 5) Quantile Estimate 100% Max 87 99% 87 95% 87 90% 87 75% Q3 85 50% Median 82 25% Q1 80 --------------------------------- group=b ---------------------------------- The UNIVARIATE Procedure Variable: x Quantiles (Definition 5) Quantile Estimate 10% 78 5% 78 1% 78 0% Min 78 Extreme Observations ----Lowest---- ----Highest--- Value Obs Value Obs 78 5 82 1 80 2 82 7 82 7 85 3 82 1 85 4 85 4 87 6 The TTEST Procedure Statistics Lower CL Upper CL Lower CL Variable group N Mean Mean Mean Std Dev Std Dev x a 7 74.504 76.857 79.211 1.6399 2.5448 x b 7 79.804 82.714 85.625 2.028 3.1472 x Diff (1-2) -9.19 -5.857 -2.524 2.0522 2.8619 Statistics Upper CL Variable group Std Dev Std Err Minimum Maximum x a 5.6039 0.9619 73 80 x b 6.9303 1.1895 78 87 x Diff (1-2) 4.7242 1.5298 T-Tests Variable Method Variances DF t Value Pr > |t| x Pooled Equal 12 -3.83 0.0024 x Satterthwaite Unequal 11.5 -3.83 0.0026 Equality of Variances Variable Method Num DF Den DF F Value Pr > F x Folded F 6 6 1.53 0.6189