In an Analysis of Variance Summary Table if the Mean Square

In an Analysis of Variance Summary Table, if the Mean Square Between = 13 and the Mean Square Within = 21, then the null hypothesis of the groups having the same mean is

a. accepted because 13 < 21.

b. rejected because 13 < 21.

c. cannot be determined without knowing the Sums of Squares (between and within).

d. cannot be determined without knowing the Degrees of Freedom (between and within).

Solution

(D) is correct because even though we can calculate the F-ratio, we cannot calculate F-critical without both degrees of freedoms.