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WCU ECO 252 - Output for the Last Take-home Problem

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252y0821a 3/31/08Output for the last Take-home problemAbout 60 Pages – You may want to print only your problem.————— 4/4/2008 9:04:29 PM ———————————————————— Welcome to Minitab, press F1 for help.MTB > WOpen "C:\Documents and Settings\RBOVE\My Documents\Minitab\252x0821-02V1.MTW". Version 1 – Only data printouts are shown.Retrieving worksheet from file: 'C:\Documents and Settings\RBOVE\MyDocuments\Minitab\252x0821-02V1.MTW'Worksheet was saved on Wed Apr 02 2008Results for: 252x0821-02V1.MTWMTB > Execute "C:\Documents and Settings\RBOVE\My Documents\Minitab\252x0822.mtb" 1.Executing from file: C:\Documents and Settings\RBOVE\My Documents\Minitab\252x0822.mtb Descriptive Statistics: Fat, Fit, diff Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3Fat 13 0 4.613 0.197 0.711 3.120 4.140 4.740 5.200Fit 13 0 6.411 0.123 0.442 5.710 6.100 6.380 6.605diff 13 0 -1.798 0.211 0.761 -2.960 -2.505 -2.000 -1.195Variable MaximumFat 5.530Fit 7.320diff -0.400 Covariances: Fat, Fit Diagonal Items are Variances. Fat FitFat 0.505090Fit 0.060514 0.195241 Data Display Row Fat fatsq Fit fitsq diff diffsq 1 4.24 17.9776 6.42 41.2164 -2.18 4.7524 2 4.74 22.4676 7.32 53.5824 -2.58 6.6564 3 4.93 24.3049 6.38 40.7044 -1.45 2.1025 4 4.16 17.3056 6.16 37.9456 -2.00 4.0000 5 5.53 30.5809 5.93 35.1649 -0.40 0.1600 6 4.12 16.9744 7.08 50.1264 -2.96 8.7616 7 5.10 26.0100 6.37 40.5769 -1.27 1.6129 8 4.47 19.9809 6.53 42.6409 -2.06 4.2436 9 5.30 28.0900 6.68 44.6224 -1.38 1.9044 10 3.12 9.7344 5.71 32.6041 -2.59 6.7081 11 3.77 14.2129 6.20 38.4400 -2.43 5.9049 12 5.09 25.9081 6.04 36.4816 -0.95 0.9025 13 5.40 29.1600 6.52 42.5104 -1.12 1.2544 Sum of Fat Sum of Fat = 59.97 Sum of Squares of Fat Sum of squares (uncorrected) of Fat = 282.707Sum of fatsq Sum of fatsq = 282.707Sum of Fit Sum of Fit = 83.341252y0821a 3/31/08Sum of Squares of Fit Version 1Sum of squares (uncorrected) of Fit = 536.616Sum of fitsq Sum of fitsq = 536.616Sum of diff Sum of diff = -23.37 Sum of Squares of diff Sum of squares (uncorrected) of diff = 48.9637 Sum of diffsq Sum of diffsq = 48.9637Two-Sample T-Test and CI: Fat, Fit Two-sample T for Fat vs Fit N Mean StDev SE MeanFat 13 4.613 0.711 0.20Fit 13 6.411 0.442 0.12Difference = mu (Fat) - mu (Fit)Estimate for difference: -1.79895% upper bound for difference: -1.401T-Test of difference = 0 (vs <): T-Value = -7.75 P-Value = 0.000 DF = 24Both use Pooled StDev = 0.5917 Two-Sample T-Test and CI: Fat, Fit Two-sample T for Fat vs Fit N Mean StDev SE MeanFat 13 4.613 0.711 0.20Fit 13 6.411 0.442 0.12Difference = mu (Fat) - mu (Fit)Estimate for difference: -1.79895% upper bound for difference: -1.397T-Test of difference = 0 (vs <): T-Value = -7.75 P-Value = 0.000 DF = 20 Test for Equal Variances: Fat, Fit 95% Bonferroni confidence intervals for standard deviations N Lower StDev UpperFat 13 0.487243 0.710697 1.27091Fit 13 0.302933 0.441861 0.79016F-Test (Normal Distribution)Test statistic = 2.59, p-value = 0.113Levene's Test (Any Continuous Distribution)Test statistic = 3.40, p-value = 0.078Test for Equal Variances for Fat, Fit All graphs are at end of printout.. Covariances: diff, diff Diagonal Items are Variances. diff diffdiff 0.579303diff 0.579303 0.579303 Probability Plot of diff Probability Plot of diff Probability Plot of diff 2252y0821a 3/31/08Data Display Columns and Ranks for Wilcoxon-Mann-Whitney TestRow Fat C7_Fat Fit C7_Fit 1 4.24 5 6.42 21 2 4.74 7 7.32 26 3 4.93 8 6.38 20 4 4.16 4 6.16 17 5 5.53 13 5.93 15 6 4.12 3 7.08 25 7 5.10 10 6.37 19 8 4.47 6 6.53 23 9 5.30 11 6.68 24 10 3.12 1 5.71 14 11 3.77 2 6.20 18 12 5.09 9 6.04 16 13 5.40 12 6.52 22 Sum of C7_Fat Version 1Sum of C7_Fat = 91 Sum of C7_Fit Sum of C7_Fit = 260Mann-Whitney Test and CI: Fat, Fit N MedianFat 13 4.7400Fit 13 6.3800Point estimate for ETA1-ETA2 is -1.750095.4 Percent CI for ETA1-ETA2 is (-2.2598,-1.2297)W = 91.0Test of ETA1 = ETA2 vs ETA1 < ETA2 is significant at 0.0000 Paired T-Test and CI: Fat, Fit Paired T for Fat - Fit N Mean StDev SE MeanFat 13 4.613 0.711 0.197Fit 13 6.411 0.442 0.123Difference 13 -1.798 0.761 0.21195% upper bound for mean difference: -1.421T-Test of mean difference = 0 (vs < 0): T-Value = -8.52 P-Value = 0.000 Wilcoxon Signed Rank Test: diff Test of median = 0.000000 versus median < 0.000000 N for Wilcoxon Estimated N Test Statistic P Mediandiff 13 13 0.0 0.001 -1.780 3252y0821a 3/31/08Data Display Table for Wilcoxon Signed Rank Test. Version 1 Sgnd Last two columns give Signed Rank Row Fat Fit diff C11 rank C13 1 4.24 6.42 -2.18 2.18 9 -1 2 4.74 7.32 -2.58 2.58 11 -1 3 4.93 6.38 -1.45 1.45 6 -1 4 4.16 6.16 -2.00 2.00 7 -1 5 5.53 5.93 -0.40 0.40 1 -1 6 4.12 7.08 -2.96 2.96 13 -1 7 5.10 6.37 -1.27 1.27 4 -1 8 4.47 6.53 -2.06 2.06 8 -1 9 5.30 6.68 -1.38 1.38 5 -1 10 3.12 5.71 -2.59 2.59 12 -1 11 3.77 6.20 -2.43 2.43 10 -1 12 5.09 6.04 -0.95 0.95 2 -1 13 5.40 6.52 -1.12 1.12 3 -1Data Display Table for Wilcoxon Signed Rank Test for Median of 2. Sgnd Last two columns give Signed RankRow diff C14 C15 C11 rank C13 1 -2.18 -2 -0.18 0.18 3 -1 2 -2.58 -2 -0.58 0.58 6 -1 3 -1.45 -2 0.55 0.55 5 1 4 -2.00 -2 0.00 0.00 1 0 5 -0.40 -2 1.60 1.60 13 1 6 -2.96 -2 -0.96 0.96 11 -1 7 -1.27 -2 0.73 0.73 9 1 8 -2.06 -2 -0.06 0.06 2 -1 9 -1.38 -2 0.62 0.62 8 1 10 -2.59 -2 -0.59 0.59 7 -1 11 -2.43 -2 -0.43 0.43 4 -1 12 -0.95 -2 1.05 1.05 12 1 13 -1.12 -2 0.88 0.88 10 1 Wilcoxon Signed Rank Test: C15 Test of median = 0.000000 versus median not = 0.000000


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