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WCU ECO 252 - ECO 252 First Take-Home Problem

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252y0521s 3/25/05First 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\252x0502-1.MTW".Retrieving worksheet from file: 'C:\Documents and Settings\rbove\MyDocuments\Minitab\252x0502-1.MTW'Worksheet was saved on Fri Mar 25 2005Results for: 252x0502-1.MTWMTB > print c1-c4 Data Display Row x1 x2 rx1 rx2 1 45.14 9.55 10 2 2 10.11 38.76 2 15 3 29.38 16.65 7 9 4 19.65 19.00 5 12 5 16.25 17.00 4 10 6 29.46 29.01 8 13 7 8.13 12.34 1 6 8 45.63 11.18 11 4 9 24.49 12.15 6 5 10 12.71 14.40 3 7 11 37.04 8.00 9 1 12 16.19 8 13 33.46 14 14 18.37 11 15 9.86 3Descriptive Statistics: x1, x2 Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 Maximumx1 11 0 25.27 4.02 13.33 8.13 12.71 24.49 37.04 45.63x2 15 0 17.73 2.35 9.11 8.00 11.18 16.19 19.00 38.7MTB > TwoSample c1 c2;SUBC> Pooled. Two-Sample T-Test and CI: x1, x2 Two-sample T for x1 vs x2 N Mean StDev SE Meanx1 11 25.3 13.3 4.0x2 15 17.73 9.11 2.4Difference = mu (x1) - mu (x2)Estimate for difference: 7.5438295% CI for difference: (-1.52083, 16.60847)T-Test of difference = 0 (vs not =): T-Value = 1.72 P-Value = 0.099 DF = 24Both use Pooled StDev = 11.0641MTB > TwoSample c1 c2.Two-Sample T-Test and CI: x1, x2 Two-sample T for x1 vs x2 N Mean StDev SE Meanx1 11 25.3 13.3 4.0x2 15 17.73 9.11 2.41252y0521s 3/25/05Difference = mu (x1) - mu (x2)Estimate for difference: 7.5438295% CI for difference: (-2.32775, 17.41539)T-Test of difference = 0 (vs not =): T-Value = 1.62 P-Value = 0.125 DF = 16MTB > VarTest c1 c2;SUBC> Unstacked. Test for Equal Variances: x1, x2 95% Bonferroni confidence intervals for standard deviations N Lower StDev Upperx1 11 8.87606 13.3313 25.6219x2 15 6.39055 9.1054 15.4332F-Test (normal distribution)Test statistic = 2.14, p-value = 0.187Levene's Test (any continuous distribution)Test statistic = 2.96, p-value = 0.098 Test for Equal Variances for x1, x2 95% Bonferroni Confidence I ntervals for StDevsx2x1252015105Datax2x15040302010F-Test0.098Test Statistic 2.14P-Value 0.187Levene's TestTest Statistic 2.96P-ValueTest for Equal Variances for x1, x2MTB > Mann-Whitney 95.0 c1 c2;SUBC> Alternative 0. Mann-Whitney Test and CI: x1, x2 N Medianx1 11 24.49x2 15 16.19Point estimate for ETA1-ETA2 is 6.872252y0521s 3/25/0595.1 Percent CI for ETA1-ETA2 is (-2.12,17.31)W = 178.0Test of ETA1 = ETA2 vs ETA1 not = ETA2 is significant at 0.1323MTB > NormTest c2;SUBC> KSTest.Probability Plot of x2 x2Percent403020100999590807060504030201051Mean0.02417.73StDev 9.105N 15KS 0.244P-ValueProbability Plot of x2Normal MTB > NormTest c1;SUBC> KSTest.Probability Plot of x1 x1Percent6050403020100999590807060504030201051Mean>0.15025.27StDev 13.33N 11KS 0.118P-ValueProbability Plot of x1Normal MTB > 3252y0521s 3/25/05First take-home problem – based on 9.26 on page E-48Lilliefors 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\MyDocuments\Minitab\notmuch.MTW'Worksheet was saved on Fri Jan 21 2005Results for: 252x0502-1.MTWMTB > let c10=c1MTB > let c11 = c10*c10MTB > let k10 = sum(c10)MTB > let k11=sum(c11)MTB > print k10, k11 Data Display K10 277.990K11 8802.55MTB > let k10 = k10/11MTB > print k10Data Display K10 25.2718MTB > let k12 = 11*k10*k10MTB > print k11 k12Data Display K11 8802.55K12 7025.31MTB > let k11=k12-k11MTB > print k11Data Display K11 -1777.24MTB > describe c10Descriptive Statistics: x Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 Maximumx 11 0 25.27 4.02 13.33 8.13 12.71 24.49 37.04 45.63MTB > let k11 = k11/10MTB > print k11 Data Display K11 177.724MTB > let k11 = sqrt(k11)MTB > print k11 Data Display K11 13.3313MTB > Center c10 c13.4252y0521s 3/25/05MTB > describe c13 Descriptive Statistics: C13 Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3C13 11 0 -1.11022E-16 0.302 1.000 -1.286 -0.942 -0.0586 0.883Variable MaximumC13 1.527MTB > describe c10Descriptive Statistics: x Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 Maximumx 11 0 25.27 4.02 13.33 8.13 12.71 24.49 37.04 45.63MTB > print k10 k11Data Display K10 25.2718K11 13.3313MTB > let c12 = c10-k10MTB > describe c12Descriptive Statistics: C12 Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3C12 11 0 -1.11022E-15 4.02 13.33 -17.14 -12.56 -0.782 11.77Variable MaximumC12 20.36MTB > let c12 = c10-k10MTB > print k11Data Display K11 13.3313MTB > let c12 = c12/k11MTB > let c12 = c12 * 10000MTB > let c12 = c12/100MTB > let c14 = c12MTB > round c12 c14MTB > let c12 = c14/100MTB > let c15=c14MTB > let c16 = c15/11MTB > CDF c13 c17;SUBC> Normal 0.0 1.0.MTB > Sort c10 c11 c12 c17 c10 c11 c12 c17;SUBC> By c10.MTB > sort c13 c13;SUBC> by c1.MTB > let c18 = c16 - c17MTB > let c18 = abs(c18)MTB > print c10 c11 c12 c14 c15 c16 c17 c18Data Display Row x xsq zrnd O CumO Fo Fe D 1 8.13 66.10 -1.29 1 1 0.09091 0.099251 0.008342 2 10.11 102.21 -1.14 1 2 0.18182 0.127705 0.054114 3 12.71 161.54 -0.94 1 3 0.27273 0.173025 0.099702 4 16.25 264.06 -0.68 1 4 0.36364 0.249286 0.114351 5 19.65 386.12 -0.42 1 5 0.45455 0.336622 0.117924 6 24.49 599.76 -0.06 1 6 0.54545 0.476617 0.068837 7 29.38 863.18 0.31 1 7 0.63636 0.621020 0.015344 8 29.46 867.89 0.31 1 8 0.72727 0.623301 0.103972 9 37.04 1371.96 0.88 1 9 0.81818 0.811314 0.006868 10 45.14 2037.62 1.49 1 10 0.90909 0.931932 0.022842 11 45.63 2082.10 1.53 1 11 1.00000 0.936631 0.0633695252y0521s 3/25/05Descriptive Statistics: D Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3D 11 0 0.0614 0.0131 0.0433 0.00687 0.0153 0.0634 0.1040Variable MaximumD 0.11796252y0521s


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