The Gulfstream 100 is an executive jet that seats six, and it has a doorway height of

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The Gulfstream 100 is an executive jet that seats six, and it has a doorway height of 51.6 in.
a. What percentage of adult men can fit through the door without bending?
b. Does the door design with a height of 51.6 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?


In use these parameters (based on Data Set 1 “Body Data” in Appendix B):

Men's heights are normally distributed with mean 68.6 in. and standard deviation 2.8 in

Women's heights are normally distributed with mean 63.7 in. and standard deviation 2.9 in.

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