based on the following ANOVA summary table (fixed effects):
$\begin{array}{cccc}
\hline \text { Source } & d f & M S & F \
\hline \mathrm{A} & 5 & 18.0 & 6.0 \
\mathrm{~B} & 1 & 13.5 & 4.5 \
\mathrm{AB} & 5 & 15.0 & 5.0 \
\text { Within } & 60 & 3.0 & \
\hline
\end{array}$
-For which source of variation is the null hypothesis rejected at the .05 level of significance?
A) A
B) B
C) AB
D) All of the above.

Question

based on the following ANOVA summary table (fixed effects):
 $\begin{array}{cccc}
\hline \text { Source } & d f & M S & F \
\hline \mathrm{A} & 5 & 18.0 & 6.0 \
\mathrm{~B} & 1 & 13.5 & 4.5 \
\mathrm{AB} & 5 & 15.0 & 5.0 \
\text { Within } & 60 & 3.0 & \
\hline
\end{array}$
-For which source of variation is the null hypothesis rejected at the .05 level of significance?
A) A
B) B
C) AB
D) All of the above.

Quizplus · Accepted Answer

To determine if the null hypothesis is rejected for each source of variation (A, B, AB), we compare the F-values to the critical F-value at the .05 level of significance for their respective degrees of freedom. Without the exact critical values provided, we generally know that F-values greater than 4 are likely to be significant at the .05 level for typical degrees of freedom involved in ANOVA tests. Here, all sources of variation (A, B, AB) have F-values (6.0, 4.5, 5.0 respectively) that suggest significance, implying the null hypothesis is rejected for each.

Based on the Following ANOVA Summary Table (Fixed Effects) -For Which Source of Variation Is the Null Hypothesis Rejected