A professional employee in a large corporation receives an average of μ = 41.3 e-mails per day. Most of these e-mails are from other employees in the company. Because of the large number of e-mails,...

A professional employee in a large corporation receives an average ofμ = 41.3 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 distractions 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 37 employees
showed that they were receiving an average of   = 34 e-mails per day. The computer server
through which the e-mails are routed showed thatσ = 16.2. 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 is the value of
the test statistic?

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