Question

A survey found that​ women's heights are normally distributed with mean 63.1 in63.1 in. and standard deviation 3.5 in3.5 in. The survey also found that​ men's heights are normally distributed with mean 67.5 in67.5 in. and standard deviation 3.4 in3.4 in. Consider an executive jet that seats six with a doorway height of 55.6 in55.6 in. Complete parts​ (a) through​ (c) below.
a. What percentage of adult men can fit through the door without​ bending?
The percentage of men who can fit without bending is nothing​%.
​(Round to two decimal places as​ needed.)
b. Does the door design with a height of 55.655.6 in. appear to be​ adequate? Why​ didn't the engineers design a larger​ door?
A.
The door design is​ inadequate, but because the jet is relatively small and seats only six​ people, a much higher door would require major changes in the design and cost of the​ jet, making a larger height not practical.
B.
The door design is​ adequate, because the majority of people will be able to fit without bending.​ Thus, a larger door is not needed.
C.
The door design is​ inadequate, because every person needs to be able to get into the aircraft without bending. There is no reason why this should not be implemented.
D.
The door design is​ adequate, because although many men will not be able to fit without​ bending, most women will be able to fit without bending.​ Thus, a larger door is not needed.
c. What doorway height would allow​ 40% of men to fit without​ bending?
The doorway height that would allow​ 40% of men to fit without bending is nothing in.

Answer 1