THIS IS FOR STATS PLEASE ANSWER CLEARLY

A researcher collects a simple random sample of gradepoint averages of statistics students. and she calculates the mean of this sample. Under what conditions can that sample mean he treated as a value from a population having a normal distribution? E) Select all that apply. |:| A. The sample has more than 30 grade-point averages. |:| B. The researcher collects more than 30 samples. |:| C. If the population of gradepoint averages has a normal distribution. IEI D. If the population of statistics students has a normal distribution. An elevator has a placard stating that the maximum capacity is 4100 lb27 passengers. So, 27 adult male passengers can have a mean weight of up to 4100/27 = 152 pounds. Assume that weights of males are normally distributed with a mean of 182 lb and a standard deviation of 38 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 152 lb. b. Find the probability that a sample of 27 randomly selected adult males has a mean weight greater than 152 lb. c. What do you conclude about the safety of this elevator? -E) a. The probability that 1 randomly selected adult male has a weight greater than 152 lb is D. (Round to four decimal places as needed.) b. The probability that a sample of 27 randomly selected adult males has a mean weight greater than 152 lb is D. (Round to four decimal places as needed.) c. Does this elevator appear to be safe? {:2- A. Yes, because there is a good chance that 27 randomly selected people will not exceed the elevator capacity. {:2- B. No, because there is a good chance that 27 randomly selected adult male passengers will exceed the elevator capacity. 4:} C. No, because 27 randomly selected people will never be under the weight limit. {I} D. Yes, because 27 randomly selected adult male passengers will always be under the weight limit