Answered: Weights of college students on a large…

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

Weights of college students on a large campus are assumed to be normally distributed with mean equal to 150 pounds. 97.5% of the students weigh less than 210 pounds.

a. What is the standard deviation of the normal distribution?
b. The college planned to organize a fitness program targeting the students with weight belonging to top 1.5%. What would be the minimum weight of the student for it to be included in the fitness program organized by the college?

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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