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 184 lb and a standard deviation of 36 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.)

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 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 184 lb and a standard deviation of 36 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
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 184 lb and a standard deviation of 36 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
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