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Chapter 6: Q.6.116 (page 283)

Under what circumstances is using a normal probability plot to assess the normality of a variable usually better than using a histogram, stem-and-leaf diagram, or dotplot?

Short Answer

Expert verified

We prefer the probability plot to a histogram, stem and leaf diagram, or dot plot for assessing the normalcy of a variable in small samples.

Step by step solution

01

Given Information

Consider the probability plot.

A normal probability plot is a graphical tool for detecting significant deviations from the norm.

02

Explanation

It is a graphical depiction of examining the data set, which is essentially regularly distributed. The plot is typically distributed if it is straight and diagonal; otherwise, it is not. The probability plot outperforms other graphs when the sample size is limited.

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Most popular questions from this chapter

According to Table II, the area under the standard normal curve that lies to the left of -2.08 is 0.0188. Without further consulting Table II, determine the area under the standard normal curve that lies to the right of 2.08. Explain your reasoning.

How is a normal probability plot used to detect outliers?

The area under a density curve that lies to the left of 60 is 0.364. What percentage of all possible observations of the variable are

a. Less than 60?

b. At least 60?

Determinez0.33

Determine the z-score for which the area under the standard normal curve to its left is0.01.
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