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An elevator has a placard stating that the maximum capacity is 4000 lb-27 passengers. So, 27 adult male passengers can have a mean weight of up to 4000/27 = 148 pounds. Assume that weights of males are normally distributed with a mean of 186 lb and a standard deviation of 39 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 148 lb. b. Find the probability that a sample of 27 randomly selected adult males has a mean weight greater than 148 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 148 lb is 0.7580 (Round to four decimal places as needed.)

An elevator has a placard stating that the maximum capacity is 4000 lb-27 passengers. So, 27 adult male passengers can have a mean weight of up to 4000/27 = 148 pounds. Assume that weights of males are normally distributed with a mean of 186 lb and a standard deviation of 39 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 148 lb. b. Find the probability that a sample of 27 randomly selected adult males has a mean weight greater than 148 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 148 lb is 0.7580 (Round to four decimal places as needed.)

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 4000 lb-27 passengers. So, 27 adult male passengers can have a mean weight of up to 4000/27 = 148 pounds. Assume that weights of males are normally distributed with a mean of 186 lb and a standard deviation of 39 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 148 lb. b. Find the probability that a sample of 27 randomly selected adult males has a mean weight greater than 148 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 148 lb is 0.7580 (Round to four decimal places as needed.)
Transcribed Image Text:An elevator has a placard stating that the maximum capacity is 4000 lb-27 passengers. So, 27 adult male passengers can have a mean weight of up to 4000/27 = 148 pounds. Assume that weights of males are normally distributed with a mean of 186 lb and a standard deviation of 39 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 148 lb. b. Find the probability that a sample of 27 randomly selected adult males has a mean weight greater than 148 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 148 lb is 0.7580 (Round to four decimal places as needed.)
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