Elevator ride:Engineers are designing a large elevator that will accommodate

43

people. The maximum weight the elevator can hold safely is8643

pounds. According to the National Health Statistics Reports, the weights of adult U.S. men have mean189

pounds and standard deviation63

pounds, and the weights of adult U.S. women have mean170

pounds and standard deviation72

pounds. Use the TI-84 Plus calculator.

Part 1 of 3

(a) If43

people are on the elevator, and their total weight is8643

pounds, what is their average weight?

The average weight is

pounds.

Part 2 of 3

(b) If a random sample of43

adult men ride the elevator, what is the probability that the maximum safe weight will be exceeded? Round the answer to at least four decimal places.

The probability that the maximum safe weight will be exceeded is

.

Part 3 of 3

(c) If a random sample of43

adult women ride the elevator, what is the probability that the maximum safe weight will be exceeded? Round the answer to at least four decimal places.

The probability that the maximum safe weight will be exceeded is

.