perform two non-parametric tests. For each hypothesis test make sure to report the following steps: Identify why you choose to perform the statistical test (Sign test, Wilcoxon test, Kruskal-Wallis test). Identify the null hypothesis, Ho, and the alternative hypothesis, Ha. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Find the critical value(s) and identify the rejection region(s). Find the appropriate standardized test statistic. If convenient, use technology. Decide whether
perform two non-parametric tests. For each hypothesis test make sure to report the following steps:
- Identify why you choose to perform the statistical test (Sign test, Wilcoxon test, Kruskal-Wallis test).
- Identify the null hypothesis, Ho, and the alternative hypothesis, Ha.
- Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.
- Find the critical value(s) and identify the rejection region(s).
- Find the appropriate standardized test statistic. If convenient, use technology.
- Decide whether to reject or fail to reject the null hypothesis.
- Interpret the decision in the context of the original claim.
1) A convenience store owner believes that the
27 43 54 59 26 50 65 22 28 33
42 49 49 39 39 44 44 54 49 33
2) A researcher wants to know if the length of sentences received for a particular type of crime was the same for men and women. The length of sentence received was recorded for a random sample of men and women. The data, in years, are listed below. Use the Wilcoxon rank sum test to test the claim that there is no difference between the sentences received by men and the sentences received by women. Use α = 0.05.
|
Men |
6 |
18 |
12 |
14 |
15 |
22 |
10 |
18 |
8 |
15 |
19 |
20 |
|
Women |
5 |
8 |
5 |
10 |
22 |
8 |
30 |
4 |
6 |
9 |
13 |
23 |
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