A particular county’s Health Department experimented with a flexible four-day workweek.  For a year, the department recorded the mileage driven by 11 field workers on an ordinary five-day workweek.  Then, it changed to a flexible four-day workweek and recorded the mileage for another year for the same 11 field workers.  Test the hypothesis that the five-day workweek has a greater average mileage.  Assume all conditions are satisfied in this problem.  The data set used for this problem is called “Flexible Work Schedule.”   Use a significance level of 0.10.

1. Define the population parameter in context in one sentence.

2. State the null and alternative hypotheses using correct notation.

3. Calculate the difference between miles by subtracting ( 5 Day – 4 Day ).  List the difference for each of the 11 pairs in your document.

4. Obtain the mean of these differences and the standard deviation of these differences. Please round these values to four decimal places.  

5. Calculate the test statistic.  Please do this “by hand” using the formula and showing your work and to obtain your p-value.

7. State whether you reject or do not reject the null hypothesis and the reason for your decision in one sentence.

8. State your conclusion in context of the problem (i.e. interpret your results and/or answer the question being posed) in one or two complete sentences.

Data:

Name	5 Day	4 Day
Jeff	2798	2914
Betty	7724	6112
Roger	7505	6177
Ali	838	1102
Sera	4592	3281
Claire	8107	4997
Lida	1228	1695
Perez	8718	6606
Enzo	1097	1063
Greg	8089	6392
Martin	3807	3362