An elevator has a placard stating that the maximum capacity is 4300 lb-28 passengers. So, 28 adult male passengers can have a mean weight of up to 4300/28 = 154 pounds. Assume weights of males are normally distributed with a mean of 178 Ib and a standard deviation of 34 Ib. a. Find the probability that 1 randomly selected adult male has a weight greater than 154 lb. b. Find the probability that a sample of 28 randomly selected adult males has c. What do you conclude about the safety of this elevator? mean weight greater than 154 lb.

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 4300 lb-28 passengers. So, 28 adult male passengers can have a mean weight of up to 4300/28 = 154 pounds. Assume that
weights of males are normally distributed with a mean of 178 lb and a standard deviation of 34 Ib.
a. Find the probability that 1 randomly selected adult male has a weight greater than 154 Ib.
b. Find the probability that a sample of 28 randomly selected adult males has a mean weight greater than 154 Ib.
c. What do you conclude about the safety of this elevator?
weight greater than 154 Ib is
a. The probability that 1 randomly selected adult male has
(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 154 Ib is
Transcribed Image Text:An elevator has a placard stating that the maximum capacity is 4300 lb-28 passengers. So, 28 adult male passengers can have a mean weight of up to 4300/28 = 154 pounds. Assume that weights of males are normally distributed with a mean of 178 lb and a standard deviation of 34 Ib. a. Find the probability that 1 randomly selected adult male has a weight greater than 154 Ib. b. Find the probability that a sample of 28 randomly selected adult males has a mean weight greater than 154 Ib. c. What do you conclude about the safety of this elevator? weight greater than 154 Ib is a. The probability that 1 randomly selected adult male has (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 154 Ib is
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