Exhibit 13-4
In a completely randomized experimental design involving five treatments, thirteen observations were recorded for each of the five treatments. The following information is provided.SSTR = 200 (Sum Square Between Treatments)
SST = 800 (Total Sum Square)
-Refer to Exhibit 13-4. The conclusion of the test is that the five means
A)are equal
B)may be equal
C)are not equal
D)None of these alternatives is correct.

Question

Quizplus · Accepted Answer

The conclusion of the test is that the five means are not equal, as the F-statistic calculated from the given information is F = (SSTR/4) / (SSE/60) = 12.5, which exceeds the critical value of F with 4 and 60 degrees of freedom at a significance level of 0.05. Therefore, we reject the null hypothesis that all five treatment means are equal, and conclude that at least one mean is different from the others.

Exhibit 13-4 In a Completely Randomized Experimental Design Involving Five Treatments, Thirteen