A Medical Researcher Wishes to Try Three Different Techniques to Lower

Essay

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 assigned an exercise program and Group 3 is assigned a dietary regimen. At the end of six weeks, the reduction in each subject's blood pressure is recorded. The results (in $\mathrm { mmHg }$ ) are shown in the table. Use the Kruskal-Wallis H-test to test whether the distributions of the blood pressure reductions differ among the three groups. Be sure to specify the null and alternative hypotheses. Use $\alpha = 0.05$ .

$\begin{array}{c|c|c}\text { Group 1 } & \text { Group 2 } & \text { Group 3 } \\\hline 14 & 11 & 9 \\15 & 8 & 15 \\12 & 5 & 7 \\18 & 6 & 11 \\16 & 7 & 12 \\11 & 3 & 7\end{array}$