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 14.2 in. and a standard deviation of 0.8 in. Find P99 . 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 P99 = _________ in. (Round to one decimal as needed.)

Explanation / Answer

Solution:

p(z<=y)=0.99

y = 2.33

so z = (x-mean)/std dev < =2.33

x = 2.33*0.8+14.2= 16.06 inches

the hip breadth for men that separates the smallest 99% from the largest 1% = 16.06 inches

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