Question

(20 points) A random sample of S0 medical school applicants at a university has a mean raw score of 31 on the multiple choice portions of the Medical College Admission

Test (MCAT).A student says that the mean raw score for the school's applicants is more than 30. Assume the population standard deviation is 3. (1) Identify the claim andstate Ho and Ha. (2) Find the standardized test statistic z. (3) Find the P-value. (4) At a = 0.01, decide whether to reject or fail to reject the null hypothesis, is there enough evidence to support the student's claim?

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