An elevator has a placard stating that the maximum capacity is 3700 lb for 26 passengers. Therefore, 26 adult male passengers can have a mean weight of up to [tex]\frac{3700}{26} = 142[/tex] pounds.

Assume that weights of males are normally distributed. Is the statement about the mean weight per passenger correct?

A. True
B. False

The statement that 26 adult male passengers can have a mean weight of up to 142 pounds in an elevator with a maximum capacity of 3700 pounds is incorrect.

Explanation:

The statement is false. The elevator's maximum capacity refers to the combined weight it can safely carry. This weight includes the sum of the weights of all passengers. The average weight of one adult male is usually more than 142 pounds. Therefore, if 26 adult males, whose mean weight exceeds 142 pounds, enter an elevator that has a maximum limit of 3700 pounds, they would be exceeding the safe weight limit of the elevator.

The weight of each passenger can fluctuate widely based on individual factors like body type, height, and more. While the mentioned average can be used as a guideline, it doesn't guarantee that every group of 26 men will meet this criteria. So, it's best to consider individual weights rather than relying on an overall average.

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