252y0821a 3 31 08 Output for the last Take home problem About 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 252x082102V1 MTW Version 1 Only data printouts are shown Retrieving worksheet from file C Documents and Settings RBOVE My Documents Minitab 252x0821 02V1 MTW Worksheet was saved on Wed Apr 02 2008 Results for 252x0821 02V1 MTW MTB 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 Fat Fit diff N 13 13 13 N 0 0 0 Variable Fat Fit diff Maximum 5 530 7 320 0 400 Mean 4 613 6 411 1 798 SE Mean 0 197 0 123 0 211 Covariances Fat Fit Fat Fit Fat 0 505090 0 060514 Fat 4 24 4 74 4 93 4 16 5 53 4 12 5 10 4 47 5 30 3 12 3 77 5 09 5 40 Minimum 3 120 5 710 2 960 Q1 4 140 6 100 2 505 Median 4 740 6 380 2 000 Q3 5 200 6 605 1 195 Diagonal Items are Variances Fit 0 195241 Data Display Row 1 2 3 4 5 6 7 8 9 10 11 12 13 StDev 0 711 0 442 0 761 fatsq 17 9776 22 4676 24 3049 17 3056 30 5809 16 9744 26 0100 19 9809 28 0900 9 7344 14 2129 25 9081 29 1600 Fit 6 42 7 32 6 38 6 16 5 93 7 08 6 37 6 53 6 68 5 71 6 20 6 04 6 52 fitsq 41 2164 53 5824 40 7044 37 9456 35 1649 50 1264 40 5769 42 6409 44 6224 32 6041 38 4400 36 4816 42 5104 diff 2 18 2 58 1 45 2 00 0 40 2 96 1 27 2 06 1 38 2 59 2 43 0 95 1 12 diffsq 4 7524 6 6564 2 1025 4 0000 0 1600 8 7616 1 6129 4 2436 1 9044 6 7081 5 9049 0 9025 1 2544 Sum of Fat Sum of Fat 59 97 Sum of Squares of Fat Sum of squares uncorrected of Fat 282 707 Sum of fatsq Sum of fatsq 282 707 Sum of Fit Sum of Fit 83 34 1 252y0821a 3 31 08 Version 1 Sum of Squares of Fit Sum of squares uncorrected of Fit 536 616 Sum of fitsq Sum of fitsq 536 616 Sum 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 9637 Two Sample T Test and CI Fat Fit Two sample T for Fat vs Fit N Mean StDev SE Mean Fat 13 4 613 0 711 0 20 Fit 13 6 411 0 442 0 12 Difference mu Fat mu Fit Estimate for difference 1 798 95 upper bound for difference 1 401 T Test of difference 0 vs T Value 7 75 Both use Pooled StDev 0 5917 P Value 0 000 DF 24 P Value 0 000 DF 20 Two Sample T Test and CI Fat Fit Two sample T for Fat vs Fit N Mean StDev SE Mean Fat 13 4 613 0 711 0 20 Fit 13 6 411 0 442 0 12 Difference mu Fat mu Fit Estimate for difference 1 798 95 upper bound for difference 1 397 T Test of difference 0 vs T Value 7 75 Test for Equal Variances Fat Fit 95 Bonferroni confidence intervals for standard deviations N Lower StDev Upper Fat 13 0 487243 0 710697 1 27091 Fit 13 0 302933 0 441861 0 79016 F Test Normal Distribution Test statistic 2 59 p value 0 113 Levene s Test Any Continuous Distribution Test statistic 3 40 p value 0 078 Test for Equal Variances for Fat Fit Covariances diff diff diff diff diff 0 579303 0 579303 All graphs are at end of printout Diagonal Items are Variances diff 0 579303 Probability Plot of diff Probability Plot of diff Probability Plot of diff 2 252y0821a 3 31 08 Data Display Row 1 2 3 4 5 6 7 8 9 10 11 12 13 Fat 4 24 4 74 4 93 4 16 5 53 4 12 5 10 4 47 5 30 3 12 3 77 5 09 5 40 Columns and Ranks for Wilcoxon Mann Whitney Test C7 Fat 5 7 8 4 13 3 10 6 11 1 2 9 12 Fit 6 42 7 32 6 38 6 16 5 93 7 08 6 37 6 53 6 68 5 71 6 20 6 04 6 52 C7 Fit 21 26 20 17 15 25 19 23 24 14 18 16 22 Sum of C7 Fat Version 1 Sum of C7 Fat 91 Sum of C7 Fit Sum of C7 Fit 260 Mann Whitney Test and CI Fat Fit N Median Fat 13 4 7400 Fit 13 6 3800 Point estimate for ETA1 ETA2 is 1 7500 95 4 Percent CI for ETA1 ETA2 is 2 2598 1 2297 W 91 0 Test 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 Mean Fat 13 4 613 0 711 0 197 Fit 13 6 411 0 442 0 123 Difference 13 1 798 0 761 0 211 95 upper bound for mean difference 1 421 T 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 Median diff 13 13 0 0 0 001 1 780 3 252y0821a 3 31 08 Table for Wilcoxon Signed Rank Test Version 1 Sgnd Last two columns give Signed Rank Data Display Row 1 2 3 4 5 6 7 8 9 10 11 12 13 Fat 4 24 4 74 4 93 4 16 5 53 4 12 5 10 4 47 5 30 3 12 3 77 5 09 5 40 Fit 6 42 7 32 6 38 6 16 5 93 7 08 6 37 6 53 6 68 5 71 6 20 6 04 6 52 diff 2 18 2 58 1 45 2 00 0 40 2 96 1 27 2 06 1 38 2 59 2 43 0 95 1 12 C11 2 18 2 58 1 45 2 00 0 40 2 96 1 27 2 06 1 38 2 59 2 43 0 95 1 12 Data Display Row 1 2 3 4 5 6 7 8 9 10 11 12 13 diff 2 18 2 58 1 45 2 00 0 40 2 96 1 27 2 06 1 38 2 59 2 43 0 95 1 12 rank 9 11 6 7 1 13 4 8 …
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