A Researcher Wishes to Test $\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 } = \mu _ { 3 }$

Multiple Choice

A researcher wishes to test $\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 } = \mu _ { 3 }$ against $\mathrm { H } _ { 1 }$ :at least one of the means is different. Based on the ANOVA table below, what is the mean square due to error?
$\begin{array} { l c c c c c } \text { SOURCE } & \text { df } & \text { SS } & \text { MS } & \text { F } & p \\\hline \text { Treatments } & 2 & 86.22 & 43.11 & 13.15 & 0.0174 \\\text { Blocks } & 2 & 0.889 & 0.444 & 0.136 & 0.8767 \\\text { Error } & 4 & 13.11 & 3.28 & & \\\\\hline \text { Total } & 8 & 100.22 & & &\end{array}$

A) 3.28
B) 13.11
C) 0.444
D) 0.136