Question

The following table shows the pesticide residue levels (ppb) in blood samples from
four populations of human subjects. Use the Kruskal-Wallis test to test at the
0:01 level of signicance the null hypothesis that there is no dierence among the
populations with respect to median level of pesticide residue.
Population
A B C D
10 4 15 7
37 35 5 11
12 32 10 10
31 19 12 8
11 33 6 2
9 18 6 5
44 11 9 4
12 7 11 5
15 32 9 2
42 17 14 6
23 8 15 3

Answer 1

Question #68502, Math / Statistics and Probability

The following table shows the pesticide residue levels (ppb) in blood samples from four populations of human subjects. Use the Kruskal-Wallis test to test at the 0.01 level of significance the null hypothesis that there is no difference among the populations with respect to median level of pesticide residue. Population

Answer.

Null hypothesis $\mathsf{H}_0$ : All medians are equal.

Alternative hypothesis $\mathsf{H}_1$ : At least one median is different.

Minitab output.

Kruskal-Wallis Test: ppb versus Population

Kruskal-Wallis Test on ppb

H = 19.55 DF = 3 P = 0.000

H = 19.61 DF = 3 P = 0.000 (adjusted for ties)

Since the P-value $(p < 0.001)$ is less than 0.01 we should reject the null hypothesis and conclude that there is a difference among the populations with respect to median level of pesticide residue.

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