Question

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

9595​%

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

14.114.1  

in. and a standard deviation of

0.90.9

in. Find

Upper P 95P95.

That​ is, find the hip breadth for men that separates the smallest

9595​%

from the largest

55​%.

The hip breadth for men that separates the smallest

9595​%

from the largest

55​%

is

Upper P 95P95equals=nothing

in.

Answer 1

z score corresponding to 95% area to its left = 1.645

Hence,

P95 = 14.1 + 1.645*0.9 = 15.58 inches