An elevator has a placard stating that the maximum capacity is 4200 lb-28 passengers. So, 28 adult male passengers can have a mean weight of up to 4200/28 = 150 pounds. Assume that weights of males are normally distributed with a mean of 176 lb and a standard deviation of 40 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 28 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 28 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? OA. Yes, because there is a good chance that 28 randomly selected people will not exceed the elevator capacity. O B. Yes, because 28 randomly selected adult male passengers will always be under the weight limit. O C. No, because 28 randomly selected people will never be under the weight limit. O D. No, because there is good chance that 28 randomly selected adult male passengers will exceed the elevator capacity.
An elevator has a placard stating that the maximum capacity is 4200 lb-28 passengers. So, 28 adult male passengers can have a mean weight of up to 4200/28 = 150 pounds. Assume that weights of males are normally distributed with a mean of 176 lb and a standard deviation of 40 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 28 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 28 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? OA. Yes, because there is a good chance that 28 randomly selected people will not exceed the elevator capacity. O B. Yes, because 28 randomly selected adult male passengers will always be under the weight limit. O C. No, because 28 randomly selected people will never be under the weight limit. O D. No, because there is good chance that 28 randomly selected adult male passengers will exceed the elevator capacity.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:An elevator has a placard stating that the maximum capacity is 4200 lb-28 passengers. So, 28 adult male passengers can have a mean weight of up to 4200/28 = 150 pounds. Assume that weights of
males are normally distributed with a mean of 176 lb and a standard deviation of 40 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 28 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.)
C
b. The probability that a sample of 28 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. Yes, because there is a good chance that 28 randomly selected people will not exceed the elevator capacity.
O B. Yes, because 28 randomly selected adult male passengers will always be under the weight limit.
O C. No, because 28 randomly selected people will never be under the weight limit.
O D. No, because there is a good chance that 28 randomly selected adult male passengers will exceed the elevator capacity.
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