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An elevator has a placard stating that the maximum capacity is 3800 lb-26 passengers. So, 26 adult male passengers can have a mean weight of up to 3800/26 = 146 pounds. Assume that weights of males are nor distributed with a mean of 182 lb and a standard deviation of 40 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 146 Ib. b. Find the probability that a sample of 26 randomly selected adult males has a mean weight greater than 146 Ib. 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 146 Ib is (Round to four decimal places as needed.) b. The probability that a sample of 26 randomly selected adult males has (Round to four decimal places as needed.) mean weight greater than 146 Ib is c. Does this elevator appear to be safe? O A. Yes, because 26 randomly selected adult male passengers will always be under the weight limit. O B. Yes, because there is a good chance that 26 randomly selected people will not exceed the elevator capacity. OC. No, because 26 randomly selected people will never be under the weight limit. O D. No, because there is a good chance that 26 randomly selected adult male passengers will exceed the elevator capacity.

An elevator has a placard stating that the maximum capacity is 3800 lb-26 passengers. So, 26 adult male passengers can have a mean weight of up to 3800/26 = 146 pounds. Assume that weights of males are nor distributed with a mean of 182 lb and a standard deviation of 40 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 146 Ib. b. Find the probability that a sample of 26 randomly selected adult males has a mean weight greater than 146 Ib. 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 146 Ib is (Round to four decimal places as needed.) b. The probability that a sample of 26 randomly selected adult males has (Round to four decimal places as needed.) mean weight greater than 146 Ib is c. Does this elevator appear to be safe? O A. Yes, because 26 randomly selected adult male passengers will always be under the weight limit. O B. Yes, because there is a good chance that 26 randomly selected people will not exceed the elevator capacity. OC. No, because 26 randomly selected people will never be under the weight limit. O D. No, because there is a good chance that 26 randomly selected adult male passengers will exceed the elevator capacity.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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An elevator has a placard stating that the maximum capacity is 3800 Ib-26 passengers. So, 26 adult male passengers can have a mean weight of up to 3800/ 26 = 146 pounds. Assume that weights of males are normally distributed with a mean of 182 Ib and a standard deviation of 40 Ib. a. Find the probability that 1 randomly selected adult male has a weight greater than 146 Ib. b. Find the probability that a sample of 26 randomly selected adult males has a mean weight greater than 146 Ib. 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 146 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 146 Ib is (Round to four decimal places as needed.) c. Does this elevator appear to be safe? O A. Yes, because 26 randomly selected adult male passengers will always be under the weight limit. B. Yes, because there is a good chance that 26 randomly selected people will not exceed the elevator capacity. C. No, because 26 randomly selected people will never be under the weight limit. D. No, because there is a good chance that 26 randomly selected adult male passengers will exceed the elevator capacity.
Transcribed Image Text:An elevator has a placard stating that the maximum capacity is 3800 Ib-26 passengers. So, 26 adult male passengers can have a mean weight of up to 3800/ 26 = 146 pounds. Assume that weights of males are normally distributed with a mean of 182 Ib and a standard deviation of 40 Ib. a. Find the probability that 1 randomly selected adult male has a weight greater than 146 Ib. b. Find the probability that a sample of 26 randomly selected adult males has a mean weight greater than 146 Ib. 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 146 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 146 Ib is (Round to four decimal places as needed.) c. Does this elevator appear to be safe? O A. Yes, because 26 randomly selected adult male passengers will always be under the weight limit. B. Yes, because there is a good chance that 26 randomly selected people will not exceed the elevator capacity. C. No, because 26 randomly selected people will never be under the weight limit. D. No, because there is a good chance that 26 randomly selected adult male passengers will exceed the elevator capacity.
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