A student group maintains which each day, the average student should travel for at least 25 minutes one way to reach college. The college admissions office obtained random sample of 32 one-way travel times from students. The sample had a mean of 18.8 minutes and a standard deviation of 9.2 minutes. Does admissions office have sufficient evidence to reject the students' claim? Use ? = 0.01.
Determine the p-value. (Give your answer correct to four decimal places.)