The Following Table Entries Are Test Scores for Males and Females

Essay

The following table entries are test scores for males and females at different times of day. Assuming no effect from the interaction between gender and test time, test the claim that time of day does not affect test scores. Use a 0.05 significance level. $$\begin{array}{l}\begin{array} { l | c c c c } & 6 \text { a.m. } - 9 \text { a.m. } &9 \text { a.m. } - 12 \text { p.m. } &12 \text { p.m. } - 3 \text { p.m.}& 3 p.m. - 6 \text { p.m. } \\\hline \text { Male } & 87 & 89 & 92 & 85 \\\text { Female } & 72 & 84 & 94 & 89\end{array}\\\begin{array} { l c l l c c } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { p } \\\text { Gender } & 1 & 24.5 & 24.5 & 0.6652 & 0.4745 \\\text { Time } & 3 & 183 & 61 & 1.6561 & 0.3444 \\\text { Error } & 3 & 110.5 & 36.83 & & \\\text { Total } & 7 & 318 & & &\end{array}\end{array}$$