Weight of men at a local health club? (Stats)

Question

The population of weights for men attending a local health club is normally distributed with a mean of 166-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 6052-lbs.

Assume that there are 34 men in the elevator. What is the average weight beyond which the elevator would be considered overloaded?

Answer 1

34x > 6052           divide both sides by 34

x > 178

 

If the average weight is more than 178 pounds the elevator is overloaded.