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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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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