Answered: Refer to the data set below (body mass…

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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Refer to the data set below (body mass index of men) and determine whether the requirement of a normal distribution is satisfied. Assume that this requirement is loose in the sense that the population distribution need not be exactly normal, but it must be a distribution that is basically symmetric with only one mode.

28.1

26.7

25.9

33.3

27.3

26.2

26.3

27.8

24.8

32.1

30.8

22.9

21.9

25.2

23.8

26.9

19.9

20.6

24.4

23.4

Is the requirement of a normal distribution satisfied?

Yes. The points in the normal quantile plot exhibit some systematic pattern that is not a straight-line pattern.

No. The histogram of the data is not bell shaped. There is also more than one outlier.

Yes. The points in the normal quantile plot lie reasonably close to a straight line.

No. The points in the normal quantile plot do not lie close to a straight line.

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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