Suppose you had four populations with equal means and equal variances. You could make an F distribution for situations with samples of 10 each by:
A)applying the test formula to each pair of samples and squaring, then repeating this process a large number of times
B)applying the ANOVA formula to a set of four samples (one from each of the four populations)of 10 each, figuring df, and repeating this process a large number of times
C)taking 10 samples from one of the populations, figuring the F ratio, and repeating this a large number of times
D)taking samples of 10 from each of the four populations, figuring an F ratio for each set of samples, and repeating this a large number of times

Question

Quizplus · Accepted Answer

To construct an F distribution for situations with samples of 10 each, samples of 10 from each of the four populations should be taken and an F ratio should be computed for each set of samples. This process should be repeated a large number of times to create an F distribution. This is because the F distribution is based on the ratio of variances between two populations, and taking samples from four populations allows us to compare all possible combinations of pairs.

Suppose You Had Four Populations with Equal Means and Equal