Perform a Kruskal-Wallis Test Using the Critical-Value Approach $\text { Use } \alpha = 0.05$

question 37

Essay

Perform a Kruskal-Wallis test using the critical-value approach.
-A medical researcher wishes to try three different techniques to lower blood pressure of patients with high blood pressure. The subjects are randomly selected and assigned to one of three groups. Group 1 is given medication, Group 2 is given an exercise program, and Group 3 is assigned a diet program. At the end of six weeks, the reduction in each subject's blood pressure is recorded. Use the Kruskal-Wallis test to test the claim that there is no difference in the distribution of the populations. Us $\text { Use } \alpha = 0.05$ $\begin{array} { c | c | c } \text { Group 1 } & \text { Group 2 } & \text { Group 3 } \\ \hline 16 & 13 & 11 \\ 17 & 10 & 17 \\ 14 & 7 & 9 \\ 20 & 8 & 13 \\ 18 & 9 & 14 \\ 13 & 5 & 9 \end{array}$

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Definitions:

Friedman Test

A test that doesn't rely on parameter-specific data, used to identify treatment variances across several trials.

One-tail

A type of hypothesis test that determines the significance of one end, or tail, of the data distribution.

Two-tail

Pertains to hypothesis tests that consider extreme outcomes in both tails of the distribution, allowing for tests of deviation in two opposite directions.

7-point Scale

A survey response scale that offers seven possible answers, often used to measure opinion or intensity.