(Solved): Engineers want to design seats in commercial aircraft so that they are wide enough to fit \( 95 \% ...

Engineers want to design seats in commercial aircraft so that they are wide enough to fit \( 95 \% \) 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 \( 14.6 \mathrm{in} \). and a standard deviation of \( 0.9 \mathrm{in} \). Find \( \mathrm{P}_{95} \). That is, find the hip breadth for men that separates the smallest \( 95 \% \) from the largest \( 5 \% \). The hip breadth for men that separates the smallest \( 95 \% \) from the largest \( 5 \% \) is \( \mathrm{P}_{95}= \) in. (Round to one decimal place as needed.)