In Exercises 21–24, 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. Executive Jet Doorway 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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
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In Exercises 21–24, 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.

Executive Jet Doorway 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?

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