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An elevator has a stated maximum capacity of 12 people or 2004 pounds. If 12 people have weights with mean greater than (2004/12)=167 pounds, the

An elevator has a stated maximum capacity of 12 people or 2004 pounds. If 12 people have weights with mean greater than (2004/12)=167 pounds, the capacity will be exceeded. Assume that weights of men are normally distributed with a mean of 182.9 pounds and a standard deviation of 40.8. Round Answers to four decimal places. A. Compute the probability that a randomly selected man will have a weight greater than 167 pounds.

b. compute the probability that 12 randomly selected men will have a mean weight that is greater than 167 pounds.

c. does the elevator appear to have the correct weight limit? why or why not?

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