The Following Table Entries Are Test Scores for Males and Females

question 31

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. $$\begin{array}{l}\begin{array} { l | c c c c } & 6 \text { a.m. } - 9 \text { a.m. } &9 \text { a.m. } - 12 \text { p.m. } &12 \text { p.m. } - 3 \text { p.m.}& 3 p.m. - 6 \text { p.m. } \\\hline \text { Male } & 87 & 89 & 92 & 85 \\\text { Female } & 72 & 84 & 94 & 89\end{array}\\\begin{array} { l c l l c c } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { p } \\\text { Gender } & 1 & 24.5 & 24.5 & 0.6652 & 0.4745 \\\text { Time } & 3 & 183 & 61 & 1.6561 & 0.3444 \\\text { Error } & 3 & 110.5 & 36.83 & & \\\text { Total } & 7 & 318 & & &\end{array}\end{array}$$

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Definitions:

Problem Solving

Moving from the point at which we initially realize that we have a difficulty which requires our attention to that point where we regard the difficulty as being sufficiently resolved for the current time and circumstances.

Expectations

Beliefs or anticipations about the way something should be or how future events will unfold.

Baccalaureate

An academic degree conferred on someone who has completed undergraduate studies.

6-year Graduation Rate

The percentage of students who complete their degree program within six years of enrolling, often used as a metric in academic settings.