A Professional Employee in a Large Corporation Receives an Average $\mu$

Multiple Choice

A professional employee in a large corporation receives an average of $\mu$ =44.2 e-mails per day. Most of these e-mails are from other employees in the company. Because of the large number of e-mails, employees find themselves distracted and are unable to concentrate when they return to their tasks. In an effort to reduce distraction caused by such interruptions, one company established a priority list that all employees were to use before sending an e-mail. One month after the new priority list was put into place, a random sample of 49 employees showed that they were receiving an average of x = 39.1 e-mails per day. The computer server through which the e-mails are routed showed that $\sigma$ = 16.7. Has the new policy had any effect? Use a 1% level of significance to test the claim that there has been a change (either way) in the average number of e-mails received per day per employee. Find (or estimate) the P-value.

A) 0.984
B) 0.033
C) 0.967
D) 0.008
E) 0.016