Part of an ANOVA table is shown below. $$\begin{array} { l l l l l }
\text { Source of } & \text { Sum of } & \text { Degrees of } & \text { Mean } \
\text { Variation } & \text { Squares } & \text { Freedom } & \text { Square } & F \
\text { Between Treatments } & 64 & &&8 \
\text { Within Treatments (Error) } & &&2 & \
\text { TOTAL } &100
\end{array}$$ At a 5% level of significance, if we want to determine whether or not the means of the populations are equal, the conclusion of the test is that
A) all means are equal.
B) some means may be equal.
C) not all means are equal.
D) some means will never be equal.

Question

Part of an ANOVA table is shown below. $$\begin{array} { l l l l l } 
\text { Source of } & \text { Sum of } & \text { Degrees of } & \text { Mean } \
\text { Variation } & \text { Squares } & \text { Freedom } & \text { Square } & F \
\text { Between Treatments } & 64 & &&8 \
\text { Within Treatments (Error) } & &&2 & \
\text { TOTAL }  &100
\end{array}$$  At a 5% level of significance, if we want to determine whether or not the means of the populations are equal, the conclusion of the test is that
A) all means are equal.
B) some means may be equal.
C) not all means are equal.
D) some means will never be equal.

Quizplus · Accepted Answer

The F-statistic is 8, which is greater than the critical value of 4.07. Therefore, we reject the null hypothesis and conclude that not all means are equal.

Part of an ANOVA Table Is Shown Below At a 5% Level of Significance, If We Want to l