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# Solution: Using the Wilcoxon Signed-Ranks Test.Refer to the

ISBN: 9780321836960 18

## Solution for problem 6 BSC Chapter 13.3

Elementary Statistics | 12th Edition

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Problem 6 BSC

Problem 6BSC

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.

Oscar Winners Repeat Exercise using all of the 82 pairs of ages in Data Set 11 from Appendix B. For that data set, there are 16 positive signs, 64 negative signs, and 2 ties.

Exercise

Use the sign test for the data consisting of matched pairs.

Oscar Winners Listed below are ages of actresses and actors at the times that they won Oscars. These 10 matched pairs are the first 10 from Data Set 11 in Appendix B. The data are paired according to the years that they won. Use a 0.05 significance level to test the claim that there is no difference between the ages of best actresses and the ages of best actors at the time that the awards were presented.

Step-by-Step Solution:
Step 1 of 3

Solution 6BSC

The value of the test statistic T is equal to the smaller of the two sums.

So the value of the test statistic is 5.5 that is T = 5.5

The sample size for the Wilcoxon signed rank test is equal to the number of pairs with

d ? 0, so here n = 10.

For n = 10, with a significance of 0.05 that is  the...

Step 2 of 3

Step 3 of 3

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