A local university claims that if you enroll in their university you will have your degree completed within 4.5 years. To test this a sample of 81...

1.    A local university claims that if you enroll in their university you will have your degree completed within 4.5 years. To test this a sample of 81 graduates was taken.  The sample yielded an average of 4.75 years with a standard deviation of 1.2 years.

a.     Set up the Hypothesis to test this University's Claim at a level of significance of .05. (α=.05)  

b.    What is the Test Statistic and Critical Value for the above problem?

What is the P-value for the above problem?

c.      Would you reject the Null Hypothesis based on information obtained in part b.