Sample data for the arrival delay times (in minutes) of airlines flights is given below. Determine whether they appear to be from a population with a normal distribution. 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 roughly bell-shaped. -21 3 -42 -35 -1 -29 -32 14 7 -2 -44 21 -19 -43 -31 -3 -42 -33 9 106 103 39 14 -2 -32 -7 -21 37 -36 -37 8 -13 -30 10 41 15 -32 -21 -19 -36 Is the requirement of a normal distribution satisfied? A. Yes, because the histogram of the data is bell shaped, there are less than two outliers, and the points in the normal quantile plot lie reasonably close to a straight line. B. No, because the histogram of the data is bell shaped, there are less than two outliers, and the points in the normal quantile plot lie reasonably close to a straight line. C. Yes, because the histogram of the data is not bell shaped, there is more than one outlier, and the points in the normal quantile plot do not lie reasonably close to a straight line. D. No, because the histogram of the data is not bell shaped, there is more than one outlier, and the points in the normal quantile plot do not lie reasonably close to a straight line.

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Description: Sample data for the arrival delay times (in minutes) of airlines flights is given below. Determine whether they appear to be from a population with a normal distribution. Assume that this requirement is loose in the sense that the population distrib

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

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Sample data for the arrival delay times (in minutes) of airlines flights is given below. Determine whether they appear to be from a population with a normal distribution. 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 roughly bell-shaped.

-21
3
-42
-35
-1
-29
-32
14
7
-2
-44
21
-19
-43
-31
-3
-42
-33
9
106
103
39
14
-2
-32
-7
-21
37
-36
-37
8
-13
-30
10
41
15
-32
-21
-19
-36

Is the requirement of a normal distribution satisfied?

Yes, because the histogram of the data is bell shaped, there are less than two outliers, and the points in the normal quantile plot lie reasonably close to a straight line.

No, because the histogram of the data is bell shaped, there are less than two outliers, and the points in the normal quantile plot lie reasonably close to a straight line.

Yes, because the histogram of the data is not bell shaped, there is more than one outlier, and the points in the normal quantile plot do not lie reasonably close to a straight line.

No, because the histogram of the data is not bell shaped, there is more than one outlier, and the points in the normal quantile plot do not lie reasonably 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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