Assignment:
Given the following sample data:
| Group 1 |
Group 2 |
Group 3 |
| 10 |
8 |
13 |
| 9 |
6 |
12 |
| 11 |
8 |
12 |
| 12 |
9 |
11 |
| 13 |
10 |
13 |
| 12 |
10 |
15 |
a. State the appropriate null and alternative hypotheses for determining whether a difference exists in the median value for the three populations.
b. Based on the sample data, use the Kruskal–Wallis ANOVA procedure to test the null hypothesis using α = 0.05. What conclusion should be reached?
Provide complete and step by step solution for the question and show calculations and use formulas.