The SAS System 13:46 Friday, August 26, 2011 13 Obs number weight x 1 1 9.99959 1 2 2 9.99960 1 3 3 9.99959 1 4 4 9.99960 1 5 5 9.99960 1 6 6 9.99959 1 7 7 9.99960 1 8 8 9.99960 1 9 9 9.99960 1 10 10 9.99960 1 11 11 9.99960 1 12 12 9.99960 1 13 13 9.99959 1 14 14 9.99960 1 15 15 9.99960 1 16 16 9.99960 1 17 17 9.99960 1 18 18 9.99960 1 19 19 9.99960 1 20 20 9.99960 1 21 21 9.99959 1 22 22 9.99960 1 23 23 9.99960 1 24 24 9.99960 1 25 25 9.99960 1 26 26 9.99960 1 27 27 9.99959 1 28 28 9.99960 1 29 29 9.99960 1 30 30 9.99960 1 31 31 9.99960 1 32 32 9.99960 1 33 33 9.99959 1 34 34 9.99960 1 35 35 9.99959 1 36 36 9.99958 1 37 37 9.99959 1 38 38 9.99959 1 39 39 9.99960 1 40 40 9.99960 1 41 41 9.99960 1 42 42 9.99959 1 43 43 9.99960 1 44 44 9.99960 1 45 45 9.99959 1 46 46 9.99959 1 47 47 9.99959 1 48 48 9.99959 1 49 49 9.99960 1 50 50 9.99960 1 51 51 9.99960 1 52 52 9.99959 1 The SAS System 13:46 Friday, August 26, 2011 14 Obs number weight x 53 53 9.99959 1 54 54 9.99960 1 55 55 9.99959 1 56 56 9.99959 1 57 57 9.99959 1 58 58 9.99959 1 59 59 9.99960 1 60 60 9.99960 1 61 61 9.99960 1 62 62 9.99960 1 63 63 9.99961 1 64 64 9.99959 1 65 65 9.99959 1 66 66 9.99960 1 67 67 9.99960 1 68 68 9.99959 1 69 69 9.99960 1 70 70 9.99959 1 71 71 9.99959 1 72 72 9.99959 1 73 73 9.99959 1 74 74 9.99960 1 75 75 9.99959 1 76 76 9.99960 1 77 77 9.99960 1 78 78 9.99960 1 79 79 9.99959 1 80 80 9.99959 1 81 81 9.99959 1 82 82 9.99959 1 83 83 9.99960 1 84 84 9.99959 1 85 85 9.99961 1 86 86 9.99956 1 87 87 9.99958 1 88 88 9.99959 1 89 89 9.99960 1 90 90 9.99960 1 91 91 9.99960 1 92 92 9.99959 1 93 93 9.99959 1 94 94 9.99963 1 95 95 9.99959 1 96 96 9.99959 1 97 97 9.99960 1 98 98 9.99959 1 99 99 9.99960 1 100 100 9.99960 1 The SAS System 13:46 Friday, August 26, 2011 15 The MEANS Procedure Analysis Variable : weight N Mean Std Dev Minimum Maximum ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ 100 9.9995954 6.4668463E-6 9.9995630 9.9996250 ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ The SAS System 13:46 Friday, August 26, 2011 16 The UNIVARIATE Procedure Variable: weight Moments N 100 Sum Weights 100 Mean 9.99959541 Sum Observations 999.959541 Std Deviation 6.46685E-6 Variance 4.182E-11 Skewness -0.5529405 Kurtosis 9.86858653 Uncorrected SS 9999.19084 Corrected SS 4.14019E-9 Coeff Variation 0.00006467 Std Error Mean 6.46685E-7 Basic Statistical Measures Location Variability Mean 9.999595 Std Deviation 6.46685E-6 Median 9.999596 Variance 4.182E-11 Mode 9.999594 Range 0.0000620 Interquartile Range 6E-6 Note: The mode displayed is the smallest of 2 modes with a count of 12. Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 15462862 Pr > |t| <.0001 Sign M 50 Pr >= |M| <.0001 Signed Rank S 2525 Pr >= |S| <.0001 Tests for Normality Test --Statistic--- -----p Value------ Shapiro-Wilk W 0.843961 Pr < W <0.0001 Kolmogorov-Smirnov D 0.133682 Pr > D <0.0100 Cramer-von Mises W-Sq 0.449739 Pr > W-Sq <0.0050 Anderson-Darling A-Sq 3.033749 Pr > A-Sq <0.0050 Quantiles (Definition 5) Quantile Estimate 100% Max 9.99963 99% 9.99962 95% 9.99960 90% 9.99960 75% Q3 9.99960 50% Median 9.99960 The SAS System 13:46 Friday, August 26, 2011 17 The UNIVARIATE Procedure Variable: weight Quantiles (Definition 5) Quantile Estimate 25% Q1 9.99959 10% 9.99959 5% 9.99959 1% 9.99957 0% Min 9.99956 Extreme Observations ------Lowest----- -----Highest----- Value Obs Value Obs 9.99956 86 9.99960 97 9.99958 36 9.99960 26 9.99958 87 9.99961 85 9.99959 88 9.99961 63 9.99959 47 9.99963 94 Stem Leaf # Boxplot 999962 5 1 * 999962 999961 999961 999960 78 2 | 999960 00001111111223 14 | 999959 5555566666666677777788888888999999999999 40 +--+--+ 999959 0000111112222233333333444444444444 34 +-----+ 999958 578889 6 | 999958 2 1 0 999957 7 1 0 999957 999956 999956 3 1 * ----+----+----+----+----+----+----+----+ Multiply Stem.Leaf by 10**-5 The SAS System 13:46 Friday, August 26, 2011 18 The UNIVARIATE Procedure Variable: weight Normal Probability Plot 9.999628+ | * | | +++ | ++++*+*+ | +++******** | ************ | *********** | *******++ | ++++**+ |++ * | | 9.999563+* +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2 The SAS System 13:46 Friday, August 26, 2011 19 The UNIVARIATE Procedure Fitted Normal Distribution for weight Parameters for Normal Distribution Parameter Symbol Estimate Mean Mu 9.999595 Std Dev Sigma 6.467E-6 Goodness-of-Fit Tests for Normal Distribution Test ----Statistic----- ------p Value------ Kolmogorov-Smirnov D 0.13368163 Pr > D <0.010 Cramer-von Mises W-Sq 0.44973880 Pr > W-Sq <0.005 Anderson-Darling A-Sq 3.03374878 Pr > A-Sq <0.005 Quantiles for Normal Distribution ------Quantile------ Percent Observed Estimated 1.0 9.99957 9.999580 5.0 9.99959 9.999585 10.0 9.99959 9.999587 25.0 9.99959 9.999591 50.0 9.99960 9.999595 75.0 9.99960 9.999600 90.0 9.99960 9.999604 95.0 9.99960 9.999606 99.0 9.99962 9.999610