Question

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

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. You may calculate these differences in StatCrunch.

4. Obtain the mean of these differences and the standard deviation of these differences in StatCrunch. You may copy and paste the box that you obtain from StatCrunch or list the values. 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 (please type your work).

6. Use StatCrunch Stat à T Stats à Paired and enter 5 Day for Sample 1 and 4 Day for Sample 2 to verify your test statistic value and to obtain your p-value. Please correctly present your p-value using probability notation. Copy and paste your output into your document and make it only includes the mean and standard deviation.

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.

Answer 1