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:

Market Segment

A subgroup of people or organizations sharing one or more characteristics that cause them to have similar product needs, allowing for more targeted marketing strategies.

Consumer Income

The total earnings of consumers, influencing their purchasing power and spending habits.

Consumer Tastes

Preferences and likes of consumers, which can vary widely and influence their purchasing decisions.

Similar Products

Items or services that share common features, functions, or characteristics with others, often within the same category.