A random sample of 100 medical school applicants at a university has a mean total score of 502 on the MCAT. According to a report, the mean total score for the school's applicants is more than 499. Assume the population standard deviation is 10.6. At a = 0.01, is there enough evidence to support the report's claim?

a)Identify the claim and stateH0 and Ha.

b)Find the standardized test statisticZ.

c)Find the correspondingp - value.

d)Decide whether to reject or fail to rejectH0.

e)Interpret the decision in the context of the original claim.