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Chapter 2: Q 78. (page 142)

Are body weights Normal? The heights of people of the same gender and similar ages follow Normal distributions reasonably closely. How about body weights? The weights of women aged 20 to 29 have mean 141.7 pounds and median 133.2pounds. The first and third quartiles are 118.3 pounds and 157.3pounds. Is it reasonable to believe that the distribution of body weights for women aged 20to 29 is approximately Normal? Explain

your answer.

Short Answer

Expert verified

No.

Step by step solution

01

Given information

Mean =141.7

Median =133.2

First quartile=118.3

Third quartile =157.3

02

Concept

The distance between the minimum and maximum values from the mean must be the same for the distribution to be normal.

03

Explanation

The median is higher than the mean in this case. As a result, it's possible to deduce that the distribution is skewed to the right. The fact that the distribution is skewed to the right indicates that the data was not collected from a regularly distributed population. As a result, it is impossible to infer that women's body weight distribution is typical.

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