Assignment:
Given the following data:
| Group 1 |
Group 2 |
Group 3 |
Group 4 |
| 20 |
28 |
17 |
21 |
| 27 |
26 |
15 |
23 |
| 26 |
21 |
18 |
19 |
| 22 |
29 |
20 |
17 |
| 25 |
30 |
14 |
20 |
| 30 |
25 |
|
|
| 23 |
|
|
|
a. State the appropriate null and alternative hypotheses for determining whether a difference exists in the median value for the four populations.
b. Based on the sample data, use the Kruskal–Wallis one-way ANOVA procedure to test the null hypothesis. What conclusion should be reached using a significance level of 0.10? Discuss.
c. Determine the H-value adjusted for ties.
d. Given the results in part b, is it necessary to use the H-value adjusted for ties? If it is, conduct the hypothesis test using this adjusted value of H. If not, explain why not.
Provide complete and step by step solution for the question and show calculations and use formulas.