Chapter 13: Q2BSC (page 597)
Requirements Assume that we want to use the data from Exercise 1 with the Kruskal-Wallis test. Are the requirements satisfied? Explain.
Short Answer
Yes, both requirements of the Kruskal-Wallis test are satisfied.
Chapter 13: Q2BSC (page 597)
Requirements Assume that we want to use the data from Exercise 1 with the Kruskal-Wallis test. Are the requirements satisfied? Explain.
Yes, both requirements of the Kruskal-Wallis test are satisfied.
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Get started for freeUsing Nonparametric Tests. In Exercises 1–10, use a 0.05 significance level with the indicated test. If no particular test is specified, use the appropriate nonparametric test from this chapter.
Airline Fares Refer to the same data from the preceding exercise. Use the Wilcoxon signed ranks test to test the claim that differences between fares for flights scheduled 1 day in advance and those scheduled 30 days in advance have a median equal to 0. What do the results suggest?
Sign Test vs. Wilcoxon Signed-Ranks Test Using the data in Exercise 1, we can test for no difference between body temperatures at 8 AM and 12 AM 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?
Ages of Best Actresses and Best Actors Listed below are ages of Best Actresses and Best Actors at the times they won Oscars (from Data Set 14 “Oscar Winner Age” in Appendix B). Do these data suggest that there is a correlation between ages of Best Actresses and Best Actors?
Actress | 61 | 32 | 33 | 45 | 29 | 62 | 22 | 44 | 54 |
Actor | 45 | 50 | 48 | 60 | 50 | 39 | 55 | 44 | 33 |
Using Nonparametric Tests. In Exercises 1–10, use a 0.05 significance level with the indicated test. If no particular test is specified, use the appropriate nonparametric test from this chapter.
Presidents, Popes, Monarchs Listed below are numbers of years that U.S. presidents, popes, and British monarchs lived after their inauguration, election, or coronation, respectively. Assume that the data are samples randomly selected from larger populations. Test the claim that the three samples are from populations with the same median.
Presidents | 10 | 29 | 26 | 28 | 15 | 23 | 17 | 25 | 0 | 20 | 4 | 1 | 24 | 16 | 12 |
4 | 10 | 17 | 16 | 0 | 7 | 24 | 12 | 4 | 18 | 21 | 11 | 2 | 9 | 36 | |
12 | 28 | 3 | 16 | 9 | 25 | 23 | 32 | ||||||||
Popes | 2 | 9 | 21 | 3 | 6 | 10 | 18 | 11 | 6 | 25 | 23 | 6 | 2 | 15 | 32 |
25 | 11 | 8 | 17 | 19 | 5 | 15 | 0 | 26 | |||||||
Monarchs | 17 | 6 | 13 | 12 | 13 | 33 | 59 | 10 | 7 | 63 | 9 | 25 | 36 | 15 |
Efficiency Refer to Table 13-2 on page 600 and identify the efficiency of the Wilcoxon rank-sum test. What does that value tell us about the test?
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