The population of weights for men attending a local health club is normally distributed with a mean of 172-lbs and a standard deviation of 27-lbs. An elevator in the health club is limited to 34 occupants, but it will be overloaded if the total weight is in excess of 6222-lbs. Assume that there are 34 men in the elevator. What is the average weight beyond which the elevator would be considered overloaded

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Answer:

The average weight beyond which the elevator would be considered overloaded is 183 lbs.

Step-by-step explanation:

Weight in excess of 6222 lbs means that the elevator is overload.

With 34 men:

Average weight greater than:

6222/34 = 183 lbs

The average weight beyond which the elevator would be considered overloaded is 183 lbs.