Use the Data in the Given Table and the Corresponding

Essay

Use the data in the given table and the corresponding Minitab display to test the hypothesis._
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. $\begin{array} { l | c c c c c c } & \text { 6 a.m. } - \mathbf { 9 } & \text { a.m. } & \mathbf { 9 } \text { a.m. } - \mathbf { 1 2 } & \text { p.m. } & \mathbf { 1 2 } \text { p.m. } - \mathbf { 3 } \text { p.m. } & \mathbf { 3 } \text { p.m. } - \mathbf { 6 } \text { p.m. } \\\hline \text { Male } & 87 & & 89 & & 92 & 85 \\\text { Female } & 72 & & 84 & & 94 & 89 \\\\\end{array}$

$\begin{array} { l | c c c c c c } { \text { Source } } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { p } & \\\text { Gender } & 1 & 24.5 & 24.5 & 0.6652 & 0.4745 & \\\text { Time } & 3 & 183 & 61 & 1.6561 & 0.3444 & \\\text { Error } & 3 & 110.5 & 36.83 & & & \\\text { Total } & 7 & 318 & & & &\end{array}$