Full-time college students report spending a mean of26 hours per week on academic activities, both inside and outside the classroom. Assume the standard deviation of time spent on academic activities is5 hours. Complete parts (a) through (d) below.

a. If you select a random sample of25 full-time college students, what is the probability that the mean time spent on academic activities is at leasthours per week?

nothing (Round to four decimal places as needed.)

b. If you select a random sample of25 full-time college students, there is an 86% chance that the sample mean is less than how many hours per week?

nothing (Round to two decimal places as needed.)

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

A.

The population is uniformly distributed.

B.

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

C.

The population is normally distributed.

D.

The population is symmetrically distributed, such that the Central Limit Theorem will likely hold for samples of size .

d. If you select a random sample of100 full-time college students, there is an 86% chance that the sample mean is less than how many hours per week?

nothing (Round to two decimal places as needed.)