Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all adults. (Accommodating 100% of adults would require very wide seats that would be muchtoo expensive.) Assume adults have hip widths that are normally distributed with a mean of 13.8 in. and a standard deviation of 1.1 in. Find P99. That is, find the hip width for adults that separatesthe smallest 99% from the largest 1%.What is the maximum hip width that is required to satisfy the requirement of fitting 99% of adults?in. (Round to one decimal place as needed.)

We will be using the concepts of standardization and z-scores to solve this problem. Givenmean =…

Answered: Engineers want to design seats in…

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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Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all adults. (Accommodating 100% of adults would require very wide seats that would be much too expensive.) Assume adults have hip widths that are normally distributed with a mean of 13.6 in. and a standard deviation of 1.2 in. Find P99. That is, find the hip width for adults that separates the smallest 99% from the largest 1%. What is the maximum hip width that is required to satisfy the requirement of fitting 99% of adults? 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 14.7 in. and a standard deviation of 0.8 in. Find Pas 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 P95 =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 Pas. 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 Pas = in. (Round to one decimal place as needed.)
Most people think that the "normal" adult body temperature is 98.6°F. In a more recent study, researchers reported that a more accurate figure may be 98.1°F. Furthermore, the standard deviation appeared to be around 0.7°F. Assume that a Normal model is appropriate. b) What fraction of people would be expected to have body temperatures above 98.6°F?
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 to0 expensive.) Men have hip breadths that are normally distributed with a mean of 14.7 in. and a standard deviation of 0.9 in. Find Por. 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 Pas = (Round to one decimal place as needed.) in.
(Same question just could not fit all into one photo)
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 14.9 in. and a standard deviation of 1.1 in. Find Pg9. 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 Pgg in. %3D (Round to one decimal place as needed.)
Companies who design furniture for elementary school classrooms produce a variety of sizes for children of different ages. Suppose the heights of kindergarten children are normally distributed with a mean of 97 cm and a standard deviation of 4.9 cm. What proportion of kindergarten children should the company expect to be less than 91 cm tall?
For all parts of this problem, assume that the weights of tomatoes are normally distributed with a mean of 1.8 lbs and a standard deviation of 0.47 lbs.
please show work.
A rugby team from the country of Atlantis is formed by randomly drawing from its population. The population distribution is normally distributed with a mean of 165 cm and a standard deviation of 10 cm. The team draws 26 people for the team. Given a population mean of 165cm, how many standard deviations would a sample mean of 163cm be from the true value? Give your answer rounded to two decimal places.

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