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

question 6

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

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