*Need help with only D please!*

Full-time college students report spending a mean of 29 hours per week on academicactivities, both inside and outside the classroom. Assume the standard deviation of time spent on academic activities is 5 hours. Complete parts(a) through(d) below.

a. If you select a random sample of 16 full-time collegestudents, what is the probability that the mean time spent on academic activities is at least 28 hours perweek?

0.7881

0.7881 (Round to four decimal places asneeded.)

b. If you select a random sample of 16 full-time collegestudents, there is an 84% chance that the sample mean is less than how many hours perweek?

30.24

30.24 (Round to two decimal places asneeded.)

c. What assumption must you make in order to solve(a) and(b)?

A.

The population is uniformly distributed.

B.

The sample is symmetricallydistributed, such that the Central Limit Theorem will likely hold.

C.

The population is normally distributed.

d. If you select a random sample of 100 full-time collegestudents, there is an 84% chance that the sample mean is less than how many hours perweek?

(Round to two decimal places asneeded.)