Question

A bike motor manufacturer claims that the mean life of its motors is 750 hours. A random sample of 40 of its motors have a mean life of 745 hours. It is known that the standard deviation of the lifetime of the motors is 15 hours. At  = 0.06, is there enough evidence to reject the company's claim?

Perform a thorough hypothesis test on your work including:

• Identification of the null and alternative hypotheses and indication of which is the claim
• Identification of the distribution to use and why
• Identification of the test to use and why
• Solving explicitly for the standardized test statistic and the P value
• Stating explicitly your basis for rejecting/failing to reject the null hypothesis AND the claim

Enter your answers to the questions below backed up by the work on your submitted paper.

Null Hypothesis:  

Test Used:  

Standardized Test Statistic:  

P:  

Final Statement:  

Answer 1