Exhibit 10-12
In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments (a total of 65 observations). The following information is provided.

-Refer to Exhibit 10-12. If at 95% confidence we want to determine whether or not the means of the five populations are equal, the p-value is
A)between 0.05 and 0.10
B)between 0.025 and 0.05
C)between 0.01 and 0.025
D)less than 0.01

Question

Exhibit 10-12
In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments (a total of 65 observations). The following information is provided.
 
-Refer to Exhibit 10-12. If at 95% confidence we want to determine whether or not the means of the five populations are equal, the p-value is
A)between 0.05 and 0.10 
B)between 0.025 and 0.05 
C)between 0.01 and 0.025 
D)less than 0.01

Quizplus · Accepted Answer

To determine whether or not the means of the five populations are equal, we need to conduct an ANOVA test. Based on the information provided, the calculated F-value is 11.45 with a corresponding p-value < 0.0001. Since the p-value is less than 0.01, we reject the null hypothesis and conclude that the means of the five populations are not equal. Therefore, the best choice is D.

Exhibit 10-12 In a Completely Randomized Experimental Design Involving Five Treatments, 13