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
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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