A local university boasts that its School of Engineering attracts the top students from around the country. As proof of this claim, they say that the average Math SAT score for their students (which is required of all applicants) is higher than the average Math SAT score of 610 at most other Engineering Schools. A random sample of n=28 Engineering students is taken, and their Math SAT scores are recorded in the column C1 of Ch9_MathSAT.xlsx.
Let μ denote the population mean. To test for the claim of the local university, which one of the following provides the correct null (H subscript 0) and alternative (H subscript a) hypotheses?