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

Multiple Choice

A professional employee in a large corporation receives an average of $\mu$ = 40.8 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 31 employees showed that they were receiving an average of x = 32.2 e-mails per day. The computer server through which the e-mails are routed showed that $\sigma$ = 17.3. Has the new policy had any effect? Use a 5% 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. What are the null and alternate hypotheses?

A) H₀ : $\mu$$\neq$ 40.8 e-mails; H₁ : $\mu$ =40.8 e-mails
B) H₀ : $\mu$ =40.8 e-mails; H₁ : $\mu$$\neq$ 40.8 e-mails
C) H₀ : $\mu$ = 40.8 e-mails; H₁ : $\mu$ <40.8 e-mails
D) H₀ : $\mu$ = 40.8 e-mails; H₁ : $\mu$$\gt$ 40.8 e-mails
E) H₀ : $\mu$$\neq$ 40.8 e-mails; H₁ : $\mu$$\gt$ .8 e-mails