In: Statistics and Probability
A survey found that women's heights are normally distributed with mean 63.2 in and standard deviation of 3.6 in. The survey also found that men's heights are normally distributed with mean 67.7 in. and a standard deviation of 3.9 in. Consider an executive jet that seats six with a doorway height of 55.8 in.Complete parts (a) through (c) below.
a. What percentage of adult men can fit through the door without bending?
b. Does the door design with a height of 55.8in. appear to be adequate? why didn't the engineers design a larger door?
c. what doorway height would allow 40 percent of men to fit without bending?