A student group maintains that each day, the average student must travel at least 25 minutes one way to reach the college. The college admissions office obtained a random sample of 31 one-way travel times from students. The sample has a mean of 19.4 minutes and a standard deviation of
9.6 minutes. Does the admissions office have sufficient evidence to reject the students’ claim? Use a = 0.01
a. Solve using the p-value approach.
b. Solve using the classical approach.