In an Analysis of Variance Summary Table, if the Mean Square Between = 41 and the Mean Square Within = 27, then the null hypothesis of the groups having the same mean
Is
A) rejected because 41 27.
B) cannot be determined without knowing the Sums of Squares (between and within).
C) accepted because 41 27.
D) cannot be determined without knowing the Degrees of Freedom (between and within).

Question

In an Analysis of Variance Summary Table, if the Mean Square Between = 41 and the Mean Square Within = 27, then the null hypothesis of the groups having the same mean
Is
A) rejected because 41 > 27.
B) cannot be determined without knowing the Sums of Squares (between and within).
C) accepted because 41 > 27.
D) cannot be determined without knowing the Degrees of Freedom (between and within).

Quizplus · Accepted Answer

The decision to reject or accept the null hypothesis depends on the F-ratio, which requires the degrees of freedom to calculate.

In an Analysis of Variance Summary Table, If the Mean