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Assume that a circular manhole cover is to be constructed with a diameter off 22in. Men have a shoulder breadths that are normally distributed with

Assume that a circular manhole cover is to be constructed with a diameter off 22in. Men have a shoulder breadths that are normally distributed with a mean of 18.2 in. and a standard deviation of 1.0. What percentage of men will fit into this manhole? If there is a group of 36 men who work in manholes, what is the probability that their mean shoulder breadth is less than 18.5 in? Does this result suggest that money can be saved by making smaller manholes with a diameter of 18.5 in.? Why or why not?

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