Answered: Cassie is a gym teacher who develops a…

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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Cassie is a gym teacher who develops a training regimen to promote physical health among elementary school students. She knows that scores on a measure of physical health are normally distributed with µ = 75 and σ = 10. She randomly selects one student in her class to complete the training regimen, and this students scores X = 82 on the measure of physical health afterwards. Based on this score, Cassie can conclude that the training regimen _____.

A. does have an effect on physical health because this score or larger would be expected 75.80% of the time even if the training regimen does not have an effect.

B. does have an effect on physical health because this score or larger would be expected 24.20% of the time even if the training regimen does not have an effect.

C. does not have an effect on physical health because this score or larger would be expected 24.20% of the time even if the training regimen does not have an effect.

D. does not have an effect on physical health because this score or larger would be expected 75.80% of the time even if the training regimen does not have an effect.

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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