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Information v Flag question Mann-Whitney Test Independent random samples were selected from two populations, Population A and Population B. The samples are provided in the tables below. Table A: Sample from Population A 115.7 105.7 103.0 85.3 96.1 95.5 88.0 87.7 96.2 96.0 87.0 104.4 114.0 100.0 Table B: Sample from Population B 109.2 116.7 105.6 105.4 130.6 101.4 97.9 112.6 116.0 99.8 1273 92.7 Is there sufficient evidence, at the o = 0.025 level of significance, to conclude that Population B is shifted to the right of Population A? Use the Mann-Whitney Test to answer this question. Notes: 1. Use the exact test. 2. 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. Information v Flag question Large-Sample Approximation to the Mann-Whitney Test This is a continuation of the previous set of problems and uses the same data. Use the approximation to the Mann-Whitney Test to answer the same question: Is there sufficient evidence, at the o = 0.025 level of significance, to conclude that Population B is shifted to the right of Population A? Note: You must use the same approach as presented in the lecture videos. Large-Sample Approximation to the Mann-Whitney Test Using the same "1-2" labeling as in the previous set of problems, select the appropriate hypotheses to answer this question. Select one: Ho : Population 1 = Population 2 vs H1 : Population 1 Population 2 Ho : Population 1 = Population 2 vS H1 : Population 1 * Population 2Large-Sample Approximation to the Mann-Whitney Test Compute 47, the mean of the sampling distribution of the test statistic, 7. Answer: Juestion 32 ot yet answered Points out of 5.00 v Flag question Large-Sample Approximation to the Mann-Whitney Test Compute or, the standard deviation of the sampling distribution of the test statistic, 7. Round the value to four decimal places. Answer: Large-Sample Approximation to the Mann-Whitney Test Compute T, the (unstandardized) test statistic. Answer: Question 34 ot yet answered Points out of 5.00 | Flag question Large-Sample Approximation to the Mann-Whitney Test Compute Zo, the (standardized) test statistic. Round the value to two decimal places. Answer:Large-Sample Approximation to the Mann-Whitney Test Compute the p-value of the test. Round the value to five decimal places. Answer:Large-Sample Approximation to the Mann-Whitney Test What is the conclusion at the o = 0.025 level of significance? Select one: O O O O O O There is sufficient 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 insufficient evidence to conclude that the populations differ in terms of location 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 Population 1 is shifted to the right of Population 2