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Use the Data in the Given Table and the Corresponding

Question 137

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.  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 | 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}

 Source  DF  SS  MS  F  p  Gender 124.524.50.66520.4745 Time 3183611.65610.3444 Error 3110.536.83 Total 7318\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}

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H0 : There is no effect due to the time ...

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