An HR manager at a large agricultural equipment company is considering proposingputting the sales staff on 4 day - 10 hours/day work weeks, instead of their current 5day - 8 hours/day week. It is believed that this will decrease the amount of drivingthey must do during a typical work week. They put 16 of their sales people on the 4day week for one month, then on the 5 day week for one month, and have themrecord their driving distances. The data is recorded in the DrivingDistance dataset.Assume that all conditions for valid tests are met.

Question

An HR manager at a large agricultural equipment company is considering proposingputting the sales staff on 4 day - 10 hours/day work weeks, instead of their current 5day - 8 hours/day week. It is believed that this will decrease the amount of drivingthey must do during a typical work week. They put 16 of their sales people on the 4day week for one month, then on the 5 day week for one month, and have themrecord their driving distances. The data is recorded in the DrivingDistance dataset.Assume that all conditions for valid tests are met.
4-Day Week
2912
6112
6175
1102
3279
4997
1690
6606
1060
6392
3362
5555
1130
5771
8325
2376

5-Day Week
2798
7734
7505
844
4592
8117
1228
8728
1097
8099
3807
4128
989
6453
7012
3118

a. Test at the 5% level whether the 4 day work week shortens the driving distance.State the result of this test in terms of the data. Consider the confidence boundassociated with this test. Does it influence the decision to go to the 4-day week?Why or why not?
b. Compute the power of this test with a difference of 500. Does it influence thedecision?
c. Do a 2-sided test at the 5% level to test whether there is a statistically significantdifference in the driving distances. What is the probability of Type II error withthis test? Does this test influence the decision to go to the 4-day week? Whatfactors other than the data presented might the manager want to consider?
I know you use the Paired T test in minitab. Please explain each step.