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MA120 Basic Concepts of Statistics - Spring 1 2022 christopher mitchell 03/03/22 11:05 PM Test: Final Exam Question 17 of 25 This test: 25 point(s) possible This question: 1 point(s) possible Submit test An elevator has a placard stating that the maximum capacity is 3900 lb-26 passengers. So, 26 adult male passengers can have a mean weight of up to 3900 / 26 = 150 pounds. Assume that weights of males are normally distributed with a mean of 178 lb and a standard deviation of 30 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 150 lb. b. Find the probability that a sample of 26 randomly selected adult males has a mean weight greater than 150 lb. c. What do you conclude about the safety of this elevator? a. The probability that 1 randomly selected adult male has a weight greater than 150 lb is]. (Round to four decimal places as needed.) b. The probability that a sample of 26 randomly selected adult males has a mean weight greater than 150 lb is (Round to four decimal places as needed.) c. Does this elevator appear to be safe? O A. No, because 26 randomly selected people will never be under the weight limit. B. Yes, because 26 randomly selected adult male passengers will always be under the weight limit. O C. No, because there is a good chance that 26 randomly selected adult male passengers will exceed the elevator capacity. O D. Yes, because there is a good chance that 26 randomly selected people will not exceed the elevator capacity