Full-time college students report spending a mean of 30 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. Complete parts (a) through (d) below. a. If you select a random sample of 25 fullhime college students, what is the probability that the mean time spent on academic activities is at least 29 hours per week? (Round to four decimal places as needed.) b. If you select a random sample of 25 full-time college students, there is an 88% chance that the sample mean is less than how many hours per week? (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 samplo is symmeirically distributed, such that the Central Limit Theorem will lkely hold. C. The population is symmetrically distributed, such that the Central Limit Theorem will likely hold for samples of size 25. D. The population is normally distributed. d. If you select a random sample of 100 full-time college students, there is an 88% chance that the sampie mean is less than how many hours per week? (Round to two docimal places as neodedi)