Question: In a sample of 140 randomly chosen alumni at the University, it was found that the mean time to earn a bachelor's degree at the institution was 6.52 years with a standard deviation of 2.13 years. An accrediting agency has been asked to perform a hypothesis test to test the claim that the population average time to complete a baccalaureate degree at the University is more than 6 years.

a. State the null and alternative hypotheses for this test and state which one is the claim for this test.

b. Determine the critical value(s) for this test if the test is performed with a significance level of 10%.

c. Perform the hypothesis test at a significance level of 10%. State your decision; use the p-value to justify the decision.

d. Is there statistically significant evidence at the 20% level of significance that the population average time to complete a degree at the university is more than 6 years?