Central Limit Theorem 1] Your company just got a large contract to redo the sewer systems in Delano. Your job is to design the manholes and the manhole covers. The State requirements are that manholes must be a minimum of 22 inches in diameter, but can be as much as 60 inches. You also did research and found that men have shoulder breadths that are normally distributed with a mean of 18.2 inches and a standard deviation of 1.0 inch. Therefore, to save the company money you decide to ignore the State requirements and you go with a 18.5-inch diameter manhole and cover. a} What percentage of men will t into the manhole? b) Assume that the Delano PP&G district employs 36 men who work in manholes. If 36 men are randomly selected, what is the probability that their mean shoulder breadth is less than 18.5 inches? c} What is your boss going to say to you