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Chapter 6: Q.6.119 (page 283)

How is a normal probability plot used to detect outliers?

Short Answer

Expert verified

The outlier is seen in the usual probability plot.

Step by step solution

01

Given Information

Consider the "probability of normalcy plot."

A probability distribution about the mean, indicating that data near the mean occur more frequently than those further from it

02

Explanation

The normalcy probability plot is a graphical method for determining whether or not data is normally distributed. The line is constructed between observed variable values and normal scores. Outliers and odd values are detected using the probability plot.

Normal values are those that fall along the probability line.

Outliers are data values that exist outside the pattern (line) of the data.

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Most popular questions from this chapter

The National Center for Health Statistics publishes information about birth rates (per 1000 population) in the document National Vital Statistics Report. The following table provides a frequency distribution for birth rates during one year for the 50 states and the District of Columbia.

a. Obtain a frequency histogram of these birth-rate data.

b. Based on your histogram, do you think that birth rates for the 50states and the District of Columbia are approximately normally distributed? Explain your answer.

Explain why assessing the normality of a variable is often important.

According to Table II, the area under the standard normal curve that lies to the left of0.43 is 0.6664. Without further consulting Table II, determine the area under the standard normal curve that lies to the right of 0.43. Explain your reasoning.

19. If you observe the values of a normally distributed variable for a sample, a normal probability plot should be roughly_________

According to Table II, the area under the standard normal curve that lies to the left of 1.05is 0.8531. Without further reference to Table II, determine the area under the standard normal curve that lies

a. to the right of 1.05.

b. to the left of -1.05.

c. between -1.05and1.05
See all solutions

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