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Information Flag question Mann-Whitney Test Independent samples were randomly selected from two populations, which will be labeled Population A and Population B. The question of interest is whether the populations are the same with regard to location, or whether they differ in location. The two samples are given in the tables below. Sample A 64.2 79'3 75.9 53.1 74.3 81.1 53.2 65.7 66.8 76.4 Sample B 70.2 95.9 87.9 68.9 90.0 94.5 99.7 70.8 e 70.3 85.7 70.7 Is there a difference in the locations of the two populations? Using the Mann-Whitney test (specifically, the exact test). Note: Be sure to use the same type of "1-2" sample & population relabeling that was used in the lectures. Some of the answers will be based on that relabeling. Mann-Whitney Test Select the appropriate hypotheses to test to answer this question. Select one; O 0O O o O O H(): HZ Hoi Hy H(]I H: Population 1 is shifted to the right of Population 2 vs H; : Population 1 and Population 2 are the same with regard to location Population 1 and Population 2 are the same with regard to location vS H; : Population 1 is shifted to the right of Population 2 Population 1 and Population 2 are the same with regard to location vs H,; : Population 1 is shifted to the left of Population 2 : Population 1 and Population 2 are the same with regard to location V H, : Population 1 and Population 2 differ in location Population 1 is shifted to the left of Population 2 vS H; : Population 1 and Population 2 are the same with regard to location Population 1 and Population 2 differ in location vs H; : Population 1 and Population 2 are the same with regard to location Mann-Whitney Test Determine the critical point for performing this test at the o = 0.05 level of significance Answer: \f\f\f\f\fMann-Whitney Test What is the conclusion at the o = 0.05 level of significance? Select one: O O O O O O There is sufficient evidence to conclude that the populations differ in terms of location There is sufficient evidence to conclude that Population 1 is shifted to the left of Population 2 There is insufficient evidence to conclude that the populations differ in terms of location There is insufficient evidence to conclude that Population 1 is shifted to the right of Population 2 There is insufficient evidence to conclude that Population 1 is shifted to the left of Population 2 There is sufficient evidence to conclude that Population 1 is shifted to the right of Population 2 Mann-Whitney Test Determine the critical point for performing the test at the o = 0.01 level of significance Answer: Mann-Whitney Test What is the conclusion at the o = 0.01 level of significance? Select one: O There is insufficient evidence to conclude that Population 1 is shifted to the left of Population 2 There is insufficient evidence to conclude that Population 1 is shifted to the right of Population 2 There is sufficient evidence to conclude that the populations differ in terms of location O O O There is insufficient evidence to conclude that the populations differ in terms of location O There is sufficient evidence to conclude that Population 1 is shifted to the right of Population 2 O There is sufficient evidence to conclude that Population 1 is shifted to the left of Population 2 Mann-Whitney Test In which of the ranges listed below does the p-value of the exact Mann-Whitney test reside? O p-value 0 O Ho : MA - MB > 0 VS H1 : MA - MB 0 There is sufficient evidence to conclude that pa s >0 There is insufficient evidence to conclude that 4 g # 0 There is insufficient evidence to conclude that p4 s 0 There is insufficient evidence to conclude that s ug > 0 There is insufficient evidence to conclude that p4 s