As part of a study of corporate employees, the director of human resources for PNC, Inc., wants to compare the mean distance travelled to work by employees in downtown Cincinnati with that of the employees in downtown Pittsburgh. A sample of 30 Cincinnati employees has a mean distance of 350 miles per month. A sample of 42 Pittsburgh employees has a mean distance of 365 miles per month. The sample standard deviation for the Cincinnati and Pittsburgh employees are 17 and 26 miles, respectively. Assuming the population variances are not equal, can the human resources director conclude that the mean distance travelled to work by Cincinnati employees is less than that of the Pittsburgh employees at the 1% significance level? Select the appropriate alternative hypothesis.

 

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