Engineers want to design seats in commercial aircraft so that they are wide enou

Question

Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99?% 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 14.6??in. and a standard deviation of 0.8 in. Find Upper P 99. That? is, find the hip breadth for men that separates the smallest 99?% from the largest 1?%. The hip breadth for men that separates the smallest 99?% from the largest 1?% is Upper P 99equals nothing in.

Explanation / Answer

Ans:

Given that

mean=14.6

standard deviation=0.8

P99 means that we have to find 99th percentile:

P(Z<=z)=0.99

z=normsinv(0.99)=2.326

P99=14.6+2.326*0.8=16.5

P99=16.5

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