Based on the overall quality of the two universities, the more credible reputation of UMich, and the modest difference in cost, I’d pick UMich over CMU. There is, as well, a non-zero probability that the applicant will choose a different major or a different career after being exposed to the far-ranging curriculum opportunities in college. One of the reasons for attending college is to discover possible career interests and alternatives, as well as aptitudes that can hardly be known in high school.