In: Statistics and Probability
A survey found that women's heights are normally distributed with mean 62.2 in. and a standard deviation of 3.4 in. The survey also found that men's heights are normally distributed with mean 68.6 in68.6 in. and a standard deviation of 3.4 in. Consider an executive jet that seats six with a doorway height of 56.3 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 56.3 in appear to be adequate? Why didn't the engineers design a larger door?
c) What doorway height would allow 40% of men to fit without bending?