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# Use the following to answer the questions below:A small university is concerned with monitoring its ...

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Use the following to answer the questions below:

A small university is concerned with monitoring its electricity usage in its Student Center. Specifically, its officials want to know if the amount of electricity used differs by day of the week. They collected data for nearly a year, and the relevant summary statistics are provided. Note that electricity usage is measured in kilowatt hours.

 Day of Week n ​ s Sunday 45 86.48 34.89 Monday 45 109.29 27.37 Tuesday 45 110.96 28.64 Wednesday 44 115.03 31.68 Thursday 44 114.97 33.26 Friday 45 108.58 32.22 Saturday 45 87.07 38.56 ​ 313 104.56 34.25

Use the F-distribution to find the p-value for the test. Using α = 0.05, does the mean electricity usage differ significantly by day of the week? Make a conclusion in context.

▸ There is very strong evidence that mean electricity usage differs significantly by day of the week (i.e., some days of the week use more electricity than others).

▸ There is not enough evidence to conclude that mean electricity usage differs significantly by day of the week (i.e., some days of the week use more electricity than others).
Textbook

## Statistics: Unlocking the Power of Data

Edition: 3rd
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gamblawcgamblawc
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