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.

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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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