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Unformatted text preview: 21.3 H0: The two populations are the same. H1: The location of population 1 is to the left of the location of populatio Wilcoxon Rank Sum Test Rank Sumobservations Sample 1 19 5 Rejection region: Sample 2 36 5 z Stat1.78 z Stat=1.7756 < z Critical=1.6449 P(Z<=z) onetail 0.04 z Critical onetail 1.64 P(Z<=z) twotail 0.08 z Critical twotail 1.96 Conclusion: There's enough evidence to infer that the location of population 1 is t left of the location of population 2. 21.4 H0: The two populations are the same. H1: The two populations differ. Wilcoxon Rank Sum Test Rank SumObservations Sample 1 118 10 Rejection region: Sample 2 92 10 z Stat < z Critical (twotail)=1.96 z Stat 0.98 or z Stat < z Critical (twotail)=1.96 P(Z<=z) onetail 0.16 z Critical onetail 1.64 but z Stat=0.9827<1.96 P(Z<=z) twotail 0.33 z Critical twotail 1.96 Conclusion: There's not enough evidence to infer that the two locations differ. 21.5 a. H0: The two beer are equally rated. H1: The new beer is less highly rated than the leading brand. Wilcoxon Rank Sum Test Rank SumObservations New 623.5 25 Rejection region: Leading 651.5 25 z Stat < z Critical (twotail)=1.96 z Stat0.27 or z Stat > z Critical (twotail)=1.96 P(Z<=z) onetail 0.39 z Critical onetail 1.64 but z Stat=0.2716>0.7858 P(Z<=z) twotail 0.79 z Critical twotail 1.96 Conclusion: There's not enough evidence to infer that the new beer is less highly than the leading brand. b. H0: The two beers are equally rated. H1: The new beer is less highly rated than the leading brand. Wilcoxon Rank Sum Test Rank SumObservations Statistics Assignment CH 21 � 11 9670103 New 623.5 25 Rejection region: Leading 651.5 25 z Stat0.27 z Stat < z Critical (onetail)=1.6449 P(Z<=z) onetail 0.39 but z Stat=0.2716>1.6449 z Critical onetail 1.64 P(Z<=z) twotail 0.79 z Critical twotail 1.96 Conclusion: There's not enough evidence to infer that the new beer is less highly than the leading brand. c. Because the order of the codes remain the same, the result will be equ 21.6 a. H0: The satisfaction ratings of business class and economy class are th H1: The satisfaction ratings of business class and economy class differ. Wilcoxon Rank Sum Test Rank SumObservations Business 4004 40 Rejection region: Economy 8086 115 z Stat < z Critical (twotail)=1.96 z Stat 3.61 r z Stat=3.6149 > z Critical (twotail)=1.9 P(Z<=z) onetail z Critical onetail 1.64 P(Z<=z) twotail z Critical twotail 1.96 Conclusion: There's enough evidence to infer that business and economy class d their degree of satisfaction with the servi b. H0: The satisfaction ratings of business class and economy class are th H1: The satisfaction ratings of business class and economy class differ....
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 Spring '10
 Hsu
 Statistical tests, Nonparametric statistics, rejection region, rank sum

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