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 require very wide seats that would be much too expensive.) Men have hip breadths that are normally distributed with a mean of 14.4in and a standard deviation of 1.0in (based on anthropometric survey data from Gordon, Clauser) Find P98. That is, find the hip breadth for men that separates the smallest 98% from the largest 2%.
2006-10-10 12:02:59 · 3 answers · asked by rocky 3 in Science & Mathematics ➔ Mathematics
3σ (standard tolerance) not good enough, huh?
This is a straight look-up problem unless you have a modern scientific calculator with integrating capability.
Find xσ for 98% total area under the curve (from the left).
W = mean +xσ/σ
Alternatively, use this reference:
http://davidmlane.com/hyperstat/z_table.html
It calculates any area under the curve for you, or back-calculates mean + xσ given the area
2006-10-10 12:27:45 · answer #1 · answered by Helmut 7 · 0⤊ 1⤋
14.4 + (.98(1.0)) = 15.38. That is, mean + 98% of deviation. So,P98=15.38 inches.
razor
2006-10-10 12:13:09 · answer #2 · answered by Anonymous · 0⤊ 2⤋
15.4 in, I think???
2006-10-10 12:06:32 · answer #3 · answered by rocketman9070 5 · 0⤊ 1⤋