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252y0521s 3 25 05 First take home problem based on 9 26 on page E 48 3 25 2005 1 54 04 AM Welcome to Minitab press F1 for help MTB WOpen C Documents and Settings rbove My Documents Minitab 252x05021 MTW Retrieving worksheet from file C Documents and Settings rbove My Documents Minitab 252x0502 1 MTW Worksheet was saved on Fri Mar 25 2005 Results for 252x0502 1 MTW MTB print c1 c4 Data Display Row 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 x1 45 14 10 11 29 38 19 65 16 25 29 46 8 13 45 63 24 49 12 71 37 04 x2 9 55 38 76 16 65 19 00 17 00 29 01 12 34 11 18 12 15 14 40 8 00 16 19 33 46 18 37 9 86 rx1 10 2 7 5 4 8 1 11 6 3 9 rx2 2 15 9 12 10 13 6 4 5 7 1 8 14 11 3 Descriptive Statistics x1 x2 Variable x1 x2 N 11 15 N 0 0 Mean 25 27 17 73 SE Mean 4 02 2 35 StDev 13 33 9 11 Minimum 8 13 8 00 Q1 12 71 11 18 Median 24 49 16 19 Q3 37 04 19 00 Maximum 45 63 38 7 MTB TwoSample c1 c2 SUBC Pooled Two Sample T Test and CI x1 x2 Two sample T for x1 vs x2 x1 x2 N 11 15 Mean 25 3 17 73 StDev 13 3 9 11 SE Mean 4 0 2 4 Difference mu x1 mu x2 Estimate for difference 7 54382 95 CI for difference 1 52083 16 60847 T Test of difference 0 vs not T Value 1 72 Both use Pooled StDev 11 0641 P Value 0 099 DF 24 MTB TwoSample c1 c2 Two Sample T Test and CI x1 x2 Two sample T for x1 vs x2 x1 x2 N 11 15 Mean 25 3 17 73 StDev 13 3 9 11 SE Mean 4 0 2 4 1 252y0521s 3 25 05 Difference mu x1 mu x2 Estimate for difference 7 54382 95 CI for difference 2 32775 17 41539 T Test of difference 0 vs not T Value 1 62 P Value 0 125 DF 16 MTB VarTest c1 c2 SUBC Unstacked Test for Equal Variances x1 x2 95 Bonferroni confidence intervals for standard deviations x1 x2 N 11 15 Lower 8 87606 6 39055 StDev 13 3313 9 1054 Upper 25 6219 15 4332 F Test normal distribution Test statistic 2 14 p value 0 187 Levene s Test any continuous distribution Test statistic 2 96 p value 0 098 Test for Equal Variances for x1 x2 Test for Equal Variances for x1 x2 F Test Test Statistic P Value x1 2 14 0 187 Levene s Test Test Statistic P Value x2 5 10 15 20 95 Bonferroni Confidence I ntervals for StDevs 2 96 0 098 25 x1 x2 10 20 30 Data 40 50 MTB Mann Whitney 95 0 c1 c2 SUBC Alternative 0 Mann Whitney Test and CI x1 x2 x1 x2 N 11 15 Median 24 49 16 19 Point estimate for ETA1 ETA2 is 6 87 2 252y0521s 3 25 05 95 1 Percent CI for ETA1 ETA2 is 2 12 17 31 W 178 0 Test of ETA1 ETA2 vs ETA1 not ETA2 is significant at 0 1323 MTB NormTest c2 SUBC KSTest Probability Plot of x2 Probability Plot of x2 Normal 99 Mean StDev N KS P Value 95 90 17 73 9 105 15 0 244 0 024 Percent 80 70 60 50 40 30 20 10 5 1 0 10 20 30 40 x2 MTB NormTest c1 SUBC KSTest Probability Plot of x1 Probability Plot of x1 Normal 99 Mean StDev N KS P Value 95 90 25 27 13 33 11 0 118 0 150 Percent 80 70 60 50 40 30 20 10 5 1 0 10 20 30 40 50 60 x1 MTB 3 252y0521s 3 25 05 First take home problem based on 9 26 on page E 48 Lilliefors computations 4 7 2005 10 01 12 PM Welcome to Minitab press F1 for help MTB WOpen C Documents and Settings rbove My Documents Minitab notmuch MTW Retrieving worksheet from file C Documents and Settings rbove My Documents Minitab notmuch MTW Worksheet was saved on Fri Jan 21 2005 Results for 252x0502 1 MTW MTB MTB MTB MTB MTB let c10 c1 let c11 c10 c10 let k10 sum c10 let k11 sum c11 print k10 k11 Data Display K10 K11 277 990 8802 55 MTB let k10 k10 11 MTB print k10 Data Display K10 25 2718 MTB let k12 11 k10 k10 MTB print k11 k12 Data Display K11 K12 8802 55 7025 31 MTB let k11 k12 k11 MTB print k11 Data Display K11 1777 24 MTB describe c10 Descriptive Statistics x Variable x N 11 N 0 Mean 25 27 SE Mean 4 02 StDev 13 33 Minimum 8 13 Q1 12 71 Median 24 49 Q3 37 04 Maximum 45 63 MTB let k11 k11 10 MTB print k11 Data Display K11 177 724 MTB let k11 sqrt k11 MTB print k11 Data Display K11 13 3313 MTB Center c10 c13 4 252y0521s 3 25 05 MTB describe c13 Descriptive Statistics C13 Variable C13 Variable C13 N N Mean 11 0 1 11022E 16 Maximum 1 527 SE Mean 0 302 StDev 1 000 Minimum 1 286 Q1 0 942 Median 0 0586 Q1 12 71 Median 24 49 Q3 37 04 Minimum 17 14 Q1 12 56 Median 0 782 Q3 0 883 MTB describe c10 Descriptive Statistics x Variable x N 11 N 0 Mean 25 27 SE Mean 4 02 StDev 13 33 Minimum 8 13 Maximum 45 63 MTB print k10 k11 Data Display K10 K11 25 2718 13 3313 MTB let c12 c10 k10 MTB describe c12 Descriptive Statistics C12 Variable C12 Variable C12 N N Mean 11 0 1 11022E 15 Maximum 20 36 SE Mean 4 02 StDev 13 33 Q3 11 77 MTB let c12 c10 k10 MTB print k11 Data Display K11 MTB MTB MTB MTB MTB MTB MTB MTB MTB SUBC MTB SUBC MTB SUBC MTB 13 3313 let c12 c12 k11 let c12 c12 10000 let c12 c12 100 let c14 c12 round c12 c14 let c12 c14 100 let c15 c14 let c16 c15 11 CDF c13 c17 Normal 0 0 1 0 Sort c10 c11 c12 c17 c10 c11 c12 c17 By c10 sort c13 c13 by c1 let c18 c16 c17 MTB let c18 abs c18 MTB print c10 c11 c12 c14 c15 c16 c17 c18 Data Display Row 1 2 3 4 5 6 7 8 9 10 11 x 8 13 10 11 12 71 16 25 19 65 24 49 29 38 29 46 37 04 45 14 45 63 xsq 66 10 102 21 161 54 264 06 386 12 599 76 863 18 867 89 1371 96 2037 62 2082 10 zrnd 1 29 1 14 …


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WCU ECO 252 - ECO 252 First Take-Home Problem

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