Question

A professional employee in a large corporation receives an average of m=44.8 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 43 employees showed that they were receiving an average of xbar=36.8 e-mails per day. The computer server through which the e-mails are routed showed that o=19.2. Use a 10% 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. Round your answer to three decimal places.

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Group of answer choices

0.994

0.998

0.006

0.002

0.003

Answer 1

The statistical software output for this problem is :

One sample Z summary hypothesis test: u: Mean of population Hou = 44.8 HA: #44.8 Standard deviation=192 Hypothesis test results: Mean n Sample Mean Std. Err. Z-Stat P-value 43 36.8 2.9279726 -2.7322661 0.0063

P-value = 0.006