Perform the Indicated Kruskall-Wallis Test $\alpha = 0.05$

question 4

Essay

Perform the indicated Kruskall-Wallis test. Be sure to do the following: Identify the claim mathematically and state the
null and alternative hypotheses. Determine the critical value and find the test statistic. Decide whether to reject or fail
to reject the null hypothesis and interpret the decision in the context of the original claim.
-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 randomly assigned to one of three groups. Group 1 is
given medication, Group 2 is given an exercise program, and Group 3 is assigned a special diet. At the end of
six weeks, the reduction in each subjectʹs blood pressure is recorded. Use the Kruskal-Wallis test to test the
claim that there is no difference in the distributions of the blood pressures of the three populations. Use $\alpha = 0.05$ $$\begin{array} { c | c | c } \text { Group 1 } & \text { Group 2 } & \text { Group 3 } \\\hline 13 & 10 & 8 \\14 & 7 & 14 \\11 & 4 & 6 \\17 & 5 & 10 \\15 & 6 & 11 \\10 & 2 & 6\end{array}$$

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Definitions:

Stomach Ulcer

A sore that develops on the lining of the stomach, often due to infection with H. pylori or prolonged use of nonsteroidal anti-inflammatory drugs.

Lining

Material that covers the inner surface of something, used for protection, insulation, or aesthetic purposes.

Stomach

An organ in the digestive system that secretes acid and enzymes to digest food.

Scar Tissue

Fibrous tissue that forms during the healing process of a wound, potentially leading to changes in skin texture and appearance.