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The Following Table Entries Are Test Scores for Males and Females

question 104

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 males and females perform the same on
the test. Use a 0.05 significance level. 6 a.m. 9 a.m. 9 a.m. - 12 p.m. 12 p.m. - 3 p.m. 3 p.m. - 6 p.m.  Male 87899285 Female 72849489\begin{array}{l|cccc} & 6 \text { a.m. }-9 \text { a.m. } 9 \text { a.m. - } 12 \text { p.m. } 12 \text { p.m. - 3 p.m. 3 p.m. - 6 p.m. } \\\hline \text { Male } & 87 & 89 & 92 & 85 \\\text { Female } & 72 & 84 & 94 & 89\end{array}

 Source  DF  SS  MS  F  p  Gender 124.524.50.66520.4745 Time 3183611.65610.3444 Error 3110.536.83\begin{array}{lcllcc}\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 & &\end{array}

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