Use a Kruskal-Wallis test to test the claim that the samples come from populations with equal medians. SAT scores for students selected randomly from three different schools are shown
Below. Use a significance level of 0.05 to test the claim that the students from the three
Schools had the same median SAT score. $\begin{array} { c c c | c c c | c c c }
{ \text { School 1 } } &&& { \text { School 2 } } &&& { \text { School 3 } } \
\hline 550 & 480 & 670 & 460 & 580 & 620 & 500 & 620 & 700 \
400 & 600 & 520 & 380 & 600 & 470 & 450 & 550 & 760
\end{array}$

What would be the value of $R _ { 1 }$ that would be used in finding $H$ ?
A) $R _ { 1 } = 54$
B) $R _ { 1 } = 52$
C) $R _ { 1 } = 9$
D) $R _ { 1 } = 6$

Question

Use a Kruskal-Wallis test to test the claim that the samples come from populations with equal medians. SAT scores for students selected randomly from three different schools are shown
Below. Use a significance level of 0.05 to test the claim that the students from the three
Schools had the same median SAT score. $\begin{array} { c c c | c c c | c c c } 
 { \text { School 1 } } &&& { \text { School 2 } } &&&  { \text { School 3 } } \
\hline 550 & 480 & 670 & 460 & 580 & 620 & 500 & 620 & 700 \
400 & 600 & 520 & 380 & 600 & 470 & 450 & 550 & 760
\end{array}$

What would be the value of $R _ { 1 }$ that would be used in finding $H$ ?
A) $R _ { 1 } = 54$
B) $R _ { 1 } = 52$
C) $R _ { 1 } = 9$
D) $R _ { 1 } = 6$

Quizplus · Accepted Answer

To find $R_1$, which is the sum of the ranks for School 1, we first rank all the SAT scores from all schools together from lowest to highest. Then, we sum the ranks for the scores that came from School 1.1. Rank all SAT scores from lowest to highest:   - 380 (1), 400 (2), 450 (3), 460 (4), 470 (5), 480 (6), 500 (7), 520 (8), 550 (9, 10 average because two 550s), 580 (11), 600 (12, 13 average because two 600s), 620 (14, 15, 16 average because three 620s), 670 (17), 700 (18), 760 (19).2. Sum the ranks for School 1:   - 400 (2), 480 (6), 550 (9.5), 600 (12.5), 520 (8), 670 (17).   - $R_1 = 2 + 6 + 9.5 + 12.5 + 8 + 17 = 55$.However, given the options provided and the process, it seems there might have been a mistake in the calculation or in the interpretation of the options. The correct calculation method involves ranking and summing as described, but none of the provided options exactly match the calculated sum based on the detailed ranking process. Given the closest option:A) $R _ { 1 } = 54$ is selected based on the closest approximation to the expected process of calculating $R_1$ despite the discrepancy in calculation. This indicates a need to reevaluate the calculation or the provided options for accuracy.

Use a Kruskal-Wallis Test to Test the Claim That the Samples