How often do you attend office hours? The amount of time a student spends in an office hour session follows an approximate normal distribution with a mean of 32 minutes and a standard deviation of 7 minutes. What is that probability that a student spends more than 20 minutes in an office hour session? 95.64% The university is more interested in the overall trends of the student population, so they randomly select a sample of 25 students. Let y represent the average time spent in an office hour session for a sample of 25. What does the sampling distribution of the sample mean, y , look like? (ie. Is it normally distributed? What is the mean and standard deviation?) What is the probability that the average time spent in an office hour session for these 25 students is less than 30 minutes