Full-time college students report spending a mean of 32 hours per week on academic activities, both inside and outside the classroom. Assume the standard deviation of time spent on academic activities is 3 hours.

a. If you select a random sample of 16 full-time college students, what is the probability that the mean time spent on academic activities is at least 30 hours per week?

.9962

(Round to four decimal places as needed.)

b. If you select a random sample of 16 full-time college students, there is an 87% chance that the sample mean is less than how many hours per week?

32.84

(Round to two decimal places as needed.)

If you select a random sample of 64 full-time college students, there is an 87% chance that the sample mean is less than how many hours per week?

enter your response here

(Round to two decimal places as needed.)