Engin eers want to design seats in commercial aircraft so that they are wide eno

Question

Engin eers want to design seats in commercial aircraft so that they are wide enough to fit 95% of all males. Accommodating 100% of males would require very wide seats that would be much too expensive ) Men have hip breadths that are normally distributed with a mean of 14.7 in. and a standard deviation of 0.8 in. Find P9s That is, find the hip breadth for men that separates the smallest 95% from the largest 5% in. The hip breadth for men that separates the smallest 95% tom the largest 5% is P95 . Round to one decimal place as needed )

Explanation / Answer

z score for upper 5% of the area = 1.645

Hence,

Required hip breadth = 14.7 + 1.645*0.8 = 16.0

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