Question

The population of weights for men attending a local health club is normally distributed with a mean of 178-lbs and a standard deviation of 25-lbs. An elevator in the health club is limited to 35 occupants, but it will be overloaded if the total weight is in excess of 6720-lbs.

1. Assume that there are 35 men in the elevator, what is the average weight per man beyond which the elevator would be considered overloaded?

Answer 1

183.4286 lbs

Explanation:

given that the population of weights for men attending a local health club is normally distributed with a mean of 178-lbs and a standard deviation of 25-lbs.

Total weight in the lift should not exceed 6420 lbs

No of persons limited = 35

Hence average weight of the person that should be below

`(6420)/(35) \\=183.4286`

If the average exceeds 183.4286 pounds then the elevator would be considered overloaded.