A Two-Way ANOVA Summary Table is shown below.
$\begin{array}{lrrrc}
\text { Source } &{\text { SS }} & \text { d.f. } & \text { MS } & \text { F } \
\text { Factor A } & 8.06 & 2 & 4.03 & 2.37 \
\text { Factor B } & 15.44 & 2 & 7.72 & 4.54 \
\text { Interaction A } \times \text { B } & 9.66 & 4 & 2.41 & 1.42 \
\text { Within (error) } & 45.90 & 27 & 1.7 & \
\text { Total } & 79.05 & 35 & &
\end{array}$
The critical value for the $F$-test using $\alpha = 0.05$, d.f.N. $= 2$, and d.f.D $= 27$ is $3.35$. Then,
A) only the null hypothesis concerning Factor A should be rejected.
B) only the null hypothesis concerning Factor B should be rejected.
C) all of the null hypotheses should be accepted.
D) only the null hypothesis concerning Factor A and the Interaction (A ×B) effect should be rejected.

Question

Quizplus · Accepted Answer

The critical value for the F-test is 3.35. Only Factor B has an F value (4.54) that exceeds this critical value, indicating that the null hypothesis concerning Factor B should be rejected. Factor A and the Interaction (A × B) have F values (2.37 and 1.42, respectively) that are below the critical value, so their null hypotheses should not be rejected.

A Two-Way ANOVA Summary Table Is Shown Below The Critical Value for The