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Sign Test vs. Wilcoxon Signed-Ranks TestUsing the data in

Problem 3BSC Chapter 13.3

Elementary Statistics | 12th Edition

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Problem 3BSC

Sign Test vs. Wilcoxon Signed-Ranks TestUsing the data in Exercise, we can test for no difference between September weights and April weights by using the sign test or the Wilcoxon signed-ranks test. In what sense does the Wilcoxon signed-ranks test incorporate and use more information than the sign test? Exercise Wilcoxon Signed-Ranks Test for Freshman 15The 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 signed-ranks 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 signed-ranks test a “distribution-free test”?

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Solution 3BSC Step 1 : While the Wilcoxon signed rank test uses magnitude and sign of the paired difference ranks because sign test only uses the sign of paired difference. Then by using...

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