A student group claims that first year students at a university must study 2.5 hours per night during the school week. A skeptic suspect that they...

A student group claims that first year students at a university must study 2.5 hours per night during the school week. A skeptic suspect that they study less than that on average. A class survey finds that the average study time claimed by 269 students is 137 minutes. Regard these students as a random sample of all first-year students and suppose we know that study times follow a Normal distribution with standard deviation of 65 minutes. Is there evidence that the mean study time differs from 2.5 hours? Use α=0.05