Solved: Using the Wilcoxon SignedRanks Test. In Exercises 58, refer to the sample data

Wilcoxon SignedRanks Test for Freshman 15 The following table lists some of the weights from Data Set 4 in Appendix B. Those weights were measured from college students in September and later in April of their freshman year. Assume that we plan to use the Wilcoxon signedranks test to test the claim of no difference between September weights and April weights. What requirements must be satisfied for this test? Is there any requirement that the populations must have a normal distribution or any other specific distribution? In what sense is this Wilcoxon signedranks test a distributionfree test? September weight 67 53 64 74 67 70 55 74 62 57 April weight 66 52 68 77 67 71 60 82 65 58

Freshman 15 For the matched pairs listed in Exercise 1, identify the following components used in the Wilcoxon signedranks test: a. Differences d b. The ranks corresponding to the nonzero values of | d | c. The signed ranks d. The sum of the positive ranks and the sum of the absolute values of the negative ranks e. The value of T f. The critical value of T (assuming a 0.05 significance level in a test of no difference between September weights and April weights)

Sign Test vs. Wilcoxon SignedRanks Test Using the data in Exercise 1, we can test for no difference between September weights and April weights by using the sign test or the Wilcoxon signedranks test. In what sense does the Wilcoxon signedranks test incorporate and use more information than the sign test?

Efficiency of the Wilcoxon SignedRanks Test Refer to Table 132 in Section 131 and identify the efficiency of the Wilcoxon signedranks test. What does that value tell us about the test?

Using the Wilcoxon SignedRanks Test. In Exercises 58, refer to the sample data for the given exercises in Section 13 2. Use the Wilcoxon signedranks test to test the claim that the matched pairs have differences that come from a population with a median equal to zero. Use a 0.05 significance leve Exercise 9

Using the Wilcoxon SignedRanks Test. In Exercises 58, refer to the sample data for the given exercises in Section 13 2. Use the Wilcoxon signedranks test to test the claim that the matched pairs have differences that come from a population with a median equal to zero. Use a 0.05 significance leve Exercise 10

Using the Wilcoxon SignedRanks Test. In Exercises 58, refer to the sample data for the given exercises in Section 13 2. Use the Wilcoxon signedranks test to test the claim that the matched pairs have differences that come from a population with a median equal to zero. Use a 0.05 significance leve Exercise 11

Using the Wilcoxon SignedRanks Test. In Exercises 58, refer to the sample data for the given exercises in Section 13 2. Use the Wilcoxon signedranks test to test the claim that the matched pairs have differences that come from a population with a median equal to zero. Use a 0.05 significance leve Exercise 12

Appendix B Data Sets. In Exercises 912, refer to the sample data for the given exercises in Section 13 2. Use the Wilcoxon signedranks test for the claim about the median of a population. Exercise 17

Appendix B Data Sets. In Exercises 912, refer to the sample data for the given exercises in Section 13 2. Use the Wilcoxon signedranks test for the claim about the median of a population.Exercise 18

Appendix B Data Sets. In Exercises 912, refer to the sample data for the given exercises in Section 13 2. Use the Wilcoxon signedranks test for the claim about the median of a population.Exercise 19

Appendix B Data Sets. In Exercises 912, refer to the sample data for the given exercises in Section 13 2. Use the Wilcoxon signedranks test for the claim about the median of a population.Exercise 20

Rank Sums a. If we have sample paired data with 75 nonzero differences, what are the smallest and largest possible values of T? b. If we have sample paired data with 75 nonzero differences, what is the expected value of T if the population consists of matched pairs with differences having a median of 0? c. If we have sample paired data with 75 nonzero differences and the sum of the positive ranks is 850, find the absolute value of the sum of the negative ranks. d. If we have sample paired data with n nonzero differences and one of the two rank sums is k, find an expression for the other rank sum.