Question

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. 26.1  30.4  33.2  23.0  26.3  24.8  28.2  23.5  23.7  25.3 25.9  26.6  21.7  24.0  20.6  26.8  27.9  19.4  27.1  32.3 Is the requirement of a normal distribution​ satisfied? A. No. The points in the normal quantile plot do not lie close to a straight line. B. Yes. The points in the normal quantile plot lie reasonably close to a straight line. C. No. The histogram of the data is not bell shaped. There is also more than one outlier. D. Yes. The points in the normal quantile plot exhibit some systematic pattern that is not a​ straight-line pattern. 26.1 30.4 33.2 23 26.3 24.8 28.2 23.5 23.7 25.3 25.9 26.6 21.7 24 20.6 26.8 27.9 19.4 27.1 32.3

Answer 1

Normal Probability plot is as given below

Histogram is given below

From the charts we can see that the points are not in a straight line in the normal probability plot

Also, the histogram is not bell shaped and symmetrical/ Also there are more than one modes.

Hence, the answer is

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