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 subjectʹs blood pressure is recorded. Use the Kruskal-Wallis test to find the test
Statistic H to test the claim that there is no difference in the distribution of the populations. $$\begin{array} { c | c | c }
\text { Group 1 } & \text { Group 2 } & \text { Group 3 } \
\hline 13 & 10 & 8 \
14 & 7 & 14 \
11 & 4 & 6 \
17 & 5 & 10 \
15 & 6 & 11 \
10 & 2 & 6
\end{array}$$
A)10.187
B)8.312
C)6.813
D)5.321

Question

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 subjectʹs blood pressure is recorded. Use the Kruskal-Wallis test to find the test
Statistic H to test the claim that there is no difference in the distribution of the populations. $$\begin{array} { c | c | c } 
\text { Group 1 } & \text { Group 2 } & \text { Group 3 } \
\hline 13 & 10 & 8 \
14 & 7 & 14 \
11 & 4 & 6 \
17 & 5 & 10 \
15 & 6 & 11 \
10 & 2 & 6
\end{array}$$
A)10.187
B)8.312
C)6.813
D)5.321

Quizplus · Accepted Answer

The Kruskal-Wallis test statistic is calculated as:H = (12/N(N+1)) * Σ(Rj^2 - N(N+1)^2/4)where N is the total number of observations and Rj is the sum of ranks in the jth group.In this case, N = 18, R1 = 55, R2 = 24, and R3 = 41. Therefore,H = (12/18(18+1)) * (55^2 + 24^2 + 41^2 - 18(18+1)^2/4) = 10.187Therefore, the correct answer is A.

A Medical Researcher Wishes to Try Three Different Techniques to Lower