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Solved: Using the Wilcoxon Signed-Ranks Test.Refer to the
Chapter 13, Problem 7BSC(choose chapter or problem)
Using the Wilcoxon Signed-Ranks Test.?Refer to the sample data for the given exercise .Use the Wilcoxon signed-ranks 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 level. Exercise Use the sign test for the data consisting of matched pairs. Heights of Presidents Refer to Data Set 12 in Appendix B and use the heights of U.S. presidents and their main opponents in the presidential campaigns to test the claim that there is no difference. Use a 0.05 significance level.
Questions & Answers
QUESTION:
Using the Wilcoxon Signed-Ranks Test.?Refer to the sample data for the given exercise .Use the Wilcoxon signed-ranks 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 level. Exercise Use the sign test for the data consisting of matched pairs. Heights of Presidents Refer to Data Set 12 in Appendix B and use the heights of U.S. presidents and their main opponents in the presidential campaigns to test the claim that there is no difference. Use a 0.05 significance level.
ANSWER:Solution 7BSC Step 1 The given problem explain about heights of U.S. presidents. From the given information we use the Wilcoxon signed-ranks test to test the claim that the matched pairs have differences that come from a population with a median equal to zero. Here we are choosing randomly the heights of the presidents of U.S. from the data given in Data Set – 12 of appendix B taken 13 in total , then the first requirement of the test is fulfilled. So,the given data are a simple random sample. we have to check the symmetry. Then we have to find the differences for each of the matched pairs by subtracting the heights of the main opponents from that of the president's heights as shown: .so we subtracting the heights of presidents (cm) and heights of opponents (cm). Here difference is d and the table as shown in below.