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Essay

$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\underline{\text { FACTOR B }}$
$\begin{array}{cccc}&\text { Level } & 1 & 2 & 3 \\\text { FACTOR A }&1 & 4.1,4.1 & 5.0,5.2 & 6.3,6.1 \\&2 & 5.8,5.6 & 5.0,5.4 & 8.8,9.0\end{array}$

a. Calculate the mean response for each treatment
b. The MINITAB ANOVA printout is shown here. Test for interaction at the $a$ =0.05 level of significance.

Analysis of variance for response.
$\begin{array} { l l l l l } \text { Source } & \text { df } & \text { SS } & \text { MS } & \text { F } \\\hline \text { A } & 1 & 0.53777 & 0.53777 & 0.11851 \\\text { B } & 2 & 5.02708 & 2.51334 & 0.55391 \\\text { AB } & 2 & 13.49334 & 6.74667 & 1.48678 \\\text { Error } & 6 & 27.22667 & 4.53778 & \\\hline \text { Total } & 11 & 46.28486 & &\end{array}$

c. Does the result warrant tests of the two factor mean effects?