# Comparing Distance Traveled to Work in Cincinnati and Pittsburgh

As part of a study of corporate employees, the Director of Human Resources for PNC, Inc. wants to compare the distance traveled to work by employees at their office in downtown Cincinnati with the distance for those in downtown Pittsburgh. A sample of 35 Cincinnati employees showed they travel a mean of 370 miles per month, with a standard deviation of 30 miles per month. A sample of 40 Pittsburgh employees showed they travel a mean of 380 miles per month, with a standard deviation of 26 miles per month. At the .05 significance level, is there a difference in the mean number of miles traveled per moth between Cincinnati and Pittsburgh employees? Use the five-step hypothesis-testing procedure.

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#### Solution Preview

Null hypothesis H0: µl = µ2

Alternative hypothesis H1: µ1 ≠ µ2

(2) at the a = .05 significance ...

#### Solution Summary

The solution provides detailed explanation on how to determine distance traveled to work for employees in both cities. Expert uses five-step hypothesis-testing procedure.