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Be very careful to report numerical answers to the number of decimal places indicated. To receive full credit, your answersmustbe correct to the number of decimal places specified. To ensure this, use maximum precision values in all calculations. Round only for the purpose of entering answers into Moodle. Do not use rounded answers in subsequent calculations. Always use full-precision values in calculations that involve multiple steps.

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. Kruskal-Wallace Test This is a continuation of the previous set of problems and uses the same data. In this set of problems you will use the Kruskal-Wallace test to answer the question: Is there sufficient evidence to conclude that Population A and Population B differ in location? Kruskal-Wallace Test Select the appropriate hypotheses to answer this question. Select one: O O O o O O H! HUI H()I H(]: HUZ HI Population A and Population B are the same with regard to location v H; : Population A and Population B differ in location Population A is shifted to the right of Population B VS H; : Population A and Population B are the same with regard to location Population A and Population B differ in location VS H; : Population A and Population B are the same with regard to location Population A and Population B are the same with regard to location vs H, : Population A is shifted to the left of Population B Population A is shifted to the left of Population B v H; : Population A and Population B are the same with regard to location Population A and Population B are the same with regard to location VS H; : Population A is shifted to the right of Population B Kruskal-Wallace Test Determine the critical point for the test at the o = 0.05 level of significance. Round the value to three decimal places. Answer: Kruskal-Wallace Test Compute the test statistic. Round the value to three decimal places. Answer: Kruskal-Wallace Test What is the conclusion at the o = 0.05 level of significance? Select one: O o O O O O There is insufficient evidence to conclude that Population A is shifted to the left of Population B There is insufficient evidence to conclude that Population A is shifted to the right of Population B There is sufficient evidence to conclude that the populations differ in location There is sufficient evidence to conclude that Population A is shifted to the right of Population B There is sufficient evidence to conclude that Population A is shifted to the left of Population B There is insufficient evidence to conclude that the populations differ in location Kruskal-Wallace Test Determine the critical point for the test at the o = 0.025 level of significance. Round the value to three decimal places. Answer: Kruskal-Wallace Test What is the conclusion at the = 0.025 level of significance? Select one: O o O O O O There is sufficient evidence to conclude that Population A is shifted to the right of Population B There is insufficient evidence to conclude that Population A is shifted to the right of Population B There is sufficient evidence to conclude that the populations differ in location There is insufficient evidence to conclude that Population A is shifted to the left of Population B There is insufficient evidence to conclude that the populations differ in location There is sufficient evidence to conclude that Population A is shifted to the left of Population B Kruskal-Wallace Test In which of the ranges listed below does p-value of the Kruskal-Wallace test lie? O p-value