Hip Breadths and Aircraft Seats
Engineers want to design seats in commercial aircraft so that they are wide enough to fit 98% of all males. (Accommodating 100% of males would be too expensive.) Men have hip breadths that are normally distributed with a mean of 14.4 in. and a standard deviation of 1.0 in. Find P 98. That is, find the hip breadth for men that separates the smallest 98% from the largest 2%.
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Answer: 10
Step-by-step explanation:
Use Pythagorean theorem!
a^2+b^2=c^2
6^2+8^2=c^2
64+36=c^2
100=c^2
Take the square root of 100 and you get c=10