**Designing Aircraft Seats for Optimal Fit****Objective:** Engineers aim to design seats in commercial aircraft to accommodate 95% of all males, ensuring seats provide comfort without being overly expensive.**Background Data:**- Male hip breadths are normally distributed.- Mean hip breadth: 14.3 inches.- Standard deviation: 0.9 inches.**Task:**Determine the hip breadth (P₉₅) that separates the smallest 95% of males from the largest 5%.**Solution Approach:**1. Use the properties of the normal distribution.2. Find the z-score corresponding to the 95th percentile.3. Calculate P₉₅ using the formula: \[ P₉₅ = \text{mean} + (z \times \text{standard deviation}) \]**Answer:**The hip breadth for men that separates the smallest 95% from the largest 5% is \( P_{95} = \) ___ inches. (Round to one decimal place as needed.)This calculation helps balance the need for comfort against cost efficiency in aircraft seat design.

Let "X" be the hip breadth of the mean in inches.

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 14.3 in. and a standard deviation of 0.9 in. Find Pos 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 Pg5 = in. (Round to one decimal place as needed.)

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 14.3 in. and a standard deviation of 0.9 in. Find Pos 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 Pg5 = in. (Round to one decimal place as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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