Consider the following: Test the main hypothesis of interest using α = 0.05
A)Because F = 15.65 critical F = 3.0,we reject the null hypothesis and conclude that the four populations do not have the same mean.
B)Because F = 15.65 critical F = 3.0,we do not reject the null hypothesis and conclude that the four populations have the same mean.
C)Because F = 125.82 critical F = 3.0,we reject the null hypothesis and conclude that the four populations do not have the same mean.
D)Because F = 125.82 critical F = 3.0,we do not reject the null hypothesis and conclude that the four populations have the same mean.

Question

Consider the following:   Test the main hypothesis of interest using α = 0.05
A)Because F = 15.65 > critical F = 3.0,we reject the null hypothesis and conclude that the four populations do not have the same mean. 
B)Because F = 15.65 > critical F = 3.0,we do not reject the null hypothesis and conclude that the four populations have the same mean. 
C)Because F = 125.82 > critical F = 3.0,we reject the null hypothesis and conclude that the four populations do not have the same mean. 
D)Because F = 125.82 > critical F = 3.0,we do not reject the null hypothesis and conclude that the four populations have the same mean.

Quizplus · Accepted Answer

The question refers to a hypothesis test involving multiple populations and their means. The F statistic is used to test if the variances of the populations are equal, which is the null hypothesis. A high F statistic indicates that the variances are different, which suggests that the means may also be different. In this case, the F statistic is given as 15.65, which is higher than the critical value of 3.0 at the 0.05 level of significance. Therefore, we reject the null hypothesis and conclude that the four populations do not have the same mean. Choice A is the correct answer.

Consider the Following: Test the Main Hypothesis of Interest