SOLUTION: 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 y

Question 1129971: 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.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Ho: time=4.5 years
Ha: time NE 4.5 years
alpha=0.05 P{reject Ho|Ho true}
test statistic is a t df=80 with critical value |t|>1.99
t=(4.75-4.5)/1.2/sqrt(81)
=0.25*9/1.2
=1.875
Fail to reject with p-value = 0.064
Insufficient evidence to reject Ho.
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