# Do flexible work schedules help reduce expenses

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## Stat 170 – Elementary Statistics Sample Questions for Test 3

Do flexible work schedules help reduce expenses? At the Lake County, IL, Health Department, the field workers are reimbursed for expenses incurred in driving from work site to work site at a rate of \$.31 per mile driven. The department experimented with a flexible four-day work week. For a year, the department recorded the mileage driven by 11 field workers on an ordinary fiveday work week. Then it changed to the flexible four-day work week and recorded mileage expenses for another year for the same workers. The data appears below.

a. Carry out a hypothesis test to investigate whether the flexible four-day work schedule reduces driving
mileage.
b. Describe what the p-value obtained in part (a) says about the likelihood of Ho being true.

c. If you conclude that the flexible four-day work week does reduce driving mileage, estimate the  average reduction with a 90% confidence interval. Interpret your interval estimate. How much
money can the department save on mileage expenses?

Here is the Data Table