Refer to the following partial ANOVA results from Excel (some information is missing). ANOVA table $$\begin{array} { | l | c | c | c | c | c | }
\hline \text { Source } & \text { SS } & d f & M S & F & p \text {-value } \
\hline \text { Treatment } & 717.40 & 3 & & & .0442 \
\hline \text { Error } & & & 70.675 & & \
\hline \text { Total } & 1,848.20 & 19 & & & \
\hline
\end{array}$$ Our decision about the hypothesis of equal treatment means is that the null hypothesis:
A)cannot be rejected at ? = .05.
B)can be rejected at ? = .05.
C)can be rejected for any typical value of ?.
D)cannot be assessed from the given information.

Question

Refer to the following partial ANOVA results from Excel (some information is missing). ANOVA table $$\begin{array} { | l | c | c | c | c | c | } 
\hline \text { Source } & \text { SS } & d f & M S & F & p \text {-value } \
\hline \text { Treatment } & 717.40 & 3 & & & .0442 \
\hline \text { Error } & & & 70.675 & & \
\hline \text { Total } & 1,848.20 & 19 & & & \
\hline
\end{array}$$ Our decision about the hypothesis of equal treatment means is that the null hypothesis:
A)cannot be rejected at ? = .05.
B)can be rejected at ? = .05.
C)can be rejected for any typical value of ?.
D)cannot be assessed from the given information.

Quizplus · Accepted Answer

The p-value associated with treatment is .0442, which is less than the traditional significance level of .05. Thus, we reject the null hypothesis of equal treatment means in favor of the alternative hypothesis that they are not all equal.

Refer to the Following Partial ANOVA Results from Excel (Some