A company\'s headquarters is located in downtown Chicago. If they require their

Question

A company's headquarters is located in downtown Chicago. If they require their employees to start working at 6:00 a.m., the company is interested to know the mean driving time of its employees to get to work. Fifty employees are randomly sampled over four weeks and asked to record their driving times. For the sample of 50 employees, the mean driving time is 35 minutes and the variance 100 minutes.

The company wants to test the claim that their employees driving time is 35 minutes or less. Please conduct a hypothesis test for the claim and use alpha=0.025

Explanation / Answer

X= 35

n= 50

sigma= 10

claim u <= 35..... H0

opposite u > 35.... H1

H0: u= 35

H1: u> 35 Right tail test

alpha= 0.025

Test Statistics

Z= (X-u)*sqrt(n)/sigma

=(35-35)*sqrt(50)/10

=0

P-value=P(Z<0)= 0.5

rounded p-value= 0.5

Decision making

P-value > Alpha Fail to Reject H0

0.5 >0.025

there is enough evidence to support the claim that their employees driving time is 35 minutes or less.

..........................

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