1. A random sample of 50 medical school applicants at a university has a mean raw score of 31 with a standard deviation of 2.5 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. At a = 0.01, is there enough evidence to support the student's claim? (Adapted from Association of American Medical Colleges)

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