Answered: Suppose that the sitting back-to-knee…

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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Question

Suppose that the sitting back-to-knee length for a group of adults has a normal distribution with a mean of

mu equals 23.5

in. and a standard deviation of

sigma equals 1.1

in. These data are often used in the design of different seats, including aircraft seats, train seats, theater seats, and classroom seats. Instead of using 0.05 for identifying significant values, use the criteria that a value x is significantly high if�� P(x or

greater)less than or equals

0.01

and a value is significantly low if P(x or

less)less than or equals

0.01.

Find the back-to-knee lengths separating significant values from those that are not significant. Using these criteria, is a back-to-knee length of

25.6

in. significantly high?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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