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Use the Data in the Given Table and the Corresponding

question 91

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|cccc} & \text { 6 a.m. - 9 a.m. } & \text { 9 a.m. - 12 p.m. } & \text { 12 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}{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 & & \\\text { Total } & 7 & 318 & & &\end{array}


Definitions:

Half-Year Convention

A tax and accounting method that treats all assets acquired or disposed of during a year as being acquired or disposed at the midpoint of that year.

Sum-Of-The-Years'-Digits

An accelerated depreciation method that applies a decreasing fraction to the depreciable cost of an asset over its useful life.

Depreciation Expense

An accounting method for allocating the cost of a tangible asset over its useful life, reflecting the asset's decrease in value over time.

Impairment Review

An examination of assets to determine if their carrying value exceeds their recoverable amount, potentially leading to an impairment loss.

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