2. A student group claims that first-year students must study 2.5 hours per night during the school week. A skeptic suspects that they study less than that on average. A class survey finds that the average study time claimed by 269 students is x = 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 65 minutes. Carry out a significance test of the null hypothesis Ho : u = 150. In other words, find the p-value for this sample result. Does this result give good evidence that the mean study time of first-year students is less than 2.5 hours per week? [2, 14.26]