At a Local Community College, the Head of the Math

Multiple Choice

At a local community college, the head of the math department is interested in determining the effects of two factors on the final exam performance.The two factors are: (1) whether the student completed all the suggested exercises (yes or no) , and (2) how many cups of coffee the student took the morning of the exam (0, 1, or 2) .Analysis of the data is summarized in the following ANOVA table: $$\begin{array} { | c | c | c | c | c | } \hline \text { Source of Variation } & 3 \mathrm {~S} & \mathrm { df } & \mathrm { Ms } & F \\\hline \text { Rows (exercises) } & \mathbf { 2 3 3 4 . 7 2 } & 1 & \mathbf { 2 3 3 4 . 7 2 } & 11.36 \\\hline \text { Colurnu (coffee) } & 2936.11 & 2 & 1486.06 & 7.14 \\\hline \text { Irteraction } & 2569.45 & 2 & 1284.73 & 6.25 \\\hline \text { Withirl } & 2466.66 & 12 & 205.56 & \\\hline \text { Total } & 10306.94 & 17 & & \\\hline\end{array}$$ Using $\alpha$ = .05, the conclusions are: _____________.

A) a significant effect of completing the exercises but not of drinking coffee and no significant interaction
B) a significant effect of drinking coffee but not of completing the exercises and no significant interaction
C) a significant effect of both completing the exercises and drinking coffee but no significant interaction
D) a significant effect of both completing the exercises and drinking coffee as well as a significant interaction
E) no significant effect of completing the exercises or drinking coffee and no significant interaction