An elevator has a placard stating that the maximum capacity is 4500 lb-29 passengers. So, 29 adult male passengers can have a mean weight of up to 4500/29= 155 pounds. Assume that weights of males are normally distributed with a mean of 179 lb and a standard deviation of 33 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 155 lb. b. Find the probability that a sample of 29 randomly selected adult males has a mean weight greater than 155 lb. c. What do you conclude about the safety of this elevator?

MATLAB: An Introduction with Applications
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An elevator has a placard stating that the maximum capacity is 4500 lb-29 passengers. So, 29 adult male
passengers can have a mean weight of up to 4500/29= 155 pounds. Assume that weights of males are normally
distributed with a mean of 179 lb and a standard deviation of 33 lb.
a. Find the probability that 1 randomly selected adult male has a weight greater than 155 lb.
b. Find the probability that a sample of 29 randomly selected adult males has a mean weight greater than 155 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 155 lb is 0.7665
(Round to four decimal places as needed.)
b. The probability that a sample of 29 randomly selected adult males has a mean weight greater than 155 lb is
(Round to four decimal places as needed.)
c. Does this elevator appear to be safe?
O A. No, because 29 randomly selected people will never be under the weight limit.
OB. Yes, because there is a good chance that 29 randomly selected people will not exceed the elevator capacity.
OC. No, because there is a good chance that 29 randomly selected adult male passengers will exceed the elevator
capacity.
OD. Yes, because 29 randomly selected adult male passengers will always be under the weight limit.
Transcribed Image Text:An elevator has a placard stating that the maximum capacity is 4500 lb-29 passengers. So, 29 adult male passengers can have a mean weight of up to 4500/29= 155 pounds. Assume that weights of males are normally distributed with a mean of 179 lb and a standard deviation of 33 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 155 lb. b. Find the probability that a sample of 29 randomly selected adult males has a mean weight greater than 155 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 155 lb is 0.7665 (Round to four decimal places as needed.) b. The probability that a sample of 29 randomly selected adult males has a mean weight greater than 155 lb is (Round to four decimal places as needed.) c. Does this elevator appear to be safe? O A. No, because 29 randomly selected people will never be under the weight limit. OB. Yes, because there is a good chance that 29 randomly selected people will not exceed the elevator capacity. OC. No, because there is a good chance that 29 randomly selected adult male passengers will exceed the elevator capacity. OD. Yes, because 29 randomly selected adult male passengers will always be under the weight limit.
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