Answered: Heights of 10-year-old, regardless of…

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

Heights of 10-year-old, regardless of sex, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches.

A. If the tallest 10% of 10-year-olds are considered “very tall”, what is the height cutoff for “very tall”?

B. The height requirement for Batman the Ride at Six Flags Magic Mountain is 54 inches. What percent of 10-year-olds cannot go on this ride?

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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