9. As part of a study of corporate employees, the director ofhuman resources for PNC Inc. wants to compare the distance traveledto work by employees at its office in downtown Cincinnati with thedistance for those in downtown Pittsburgh. A sample of 35Cincinnati employees showed they travel a mean of 370 miles permonth. A sample of 40 Pittsburgh employees showed they travel amean of 380 miles per month. The population standard deviations forthe Cincinnati and Pittsburgh employees are 30 and 26 miles,respectively. By following the six-step procedure for hypothesistesting found below, answer the following: At the 0.05 significancelevel, is there a difference in the mean number of miles traveledper month between Cincinnati and Pittsburgh employees?
Step 1: State the Null Hypothesis (H_0) and the AlternateHypothesis (H_1)
Step 2: Determine the level of significance. (Note: It’s givenin this problem!)
Step 3: Select the Test Statistic
Step 4: Formulate the Decision Rule
Step 5: Make a Decision
Step 6: Interpret the Result
