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 90% 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 1.1 in. Find P That is, find the hip breadth for men that separates the smallest 90% from the largest 10%. 90 in The hip breadth for men that separates the smallest 90% from the largest 10% is P90-1 (Round to one decimal place as needed.)

Explanation / Answer

Mean is 14.6 and s is 1.1

for 90% area from the left of the curve, the z value can be found from the normal distribution table as 1.28

thus answer is mean+s*z=14.6+1.1*1.28=16.008

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