In an Analysis of Variance Summary Table, if the Mean Square Between $= 33$ and the Mean Square Within $= 29$, then the null hypothesis of the groups having the same mean is
A) Accepted because $33 29$
B) Rejected because $33 29$
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)

Question

In an Analysis of Variance Summary Table, if the Mean Square Between $= 33$ and the Mean Square Within $= 29$, then the null hypothesis of the groups having the same mean is
A) Accepted because $33 > 29$
B) Rejected because $33 > 29$
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)

Quizplus · Accepted Answer

The decision to accept or reject the null hypothesis in ANOVA depends on the F-ratio, which requires both the Mean Squares and the Degrees of Freedom to calculate.

In an Analysis of Variance Summary Table, If the Mean =33= 33=33

In an Analysis of Variance Summary Table, If the Mean $= 33$