A random sample of 50 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 2.5. At α = 0.01, is there enough evidence to support the student’s claim?
(a) Identify the claim and state H0 and Ha.
(b) Find the standardized test statistic z. If convenient, use technology.
(c) Find the P-value. If convenient, use technology.
(d) Decide whether to reject or fail to reject the null hypothesis.
(e) Interpret the decision in the context of the original claim. |

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