The Mark VI monorail used at Disney World and the Boeing 757-200 ER airliner have doors with a height of 72 in.

a. What percentage of adult men can fit through the doors without bending?

b. What percentage of adult women can fit through the doors without bending?

c. Does the door design with a height of 72 in. appear to be adequate? Explain.

d. What doorway height would allow 98% of adult men to fit without bending?

Use this information (based on data from the National Health Survey):

• Men’s heights are normally distributed with mean 69.0 in. and standard deviation 2.8 in.

• Women’s heights are normally distributed with mean 63.6 in. and standard deviation 2.5 in.