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Chapter 6: Q.6.118 (page 283)

Explain in detail what a normal probability plot is and how it is used to assess the normality of a variable.

Short Answer

Expert verified

The data is spread in a linear way.

Step by step solution

01

Given Information

Consider the concept of "variable normalcy."

A random variable's normality is a quality of a normal distribution-distributed random variable.

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. If the variable is regularly distributed, the plot should be linearly approximated; otherwise, it should not be.

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Most popular questions from this chapter

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?

11. Answer true or false to each statement. Explain your answers.

a. Two normal distributions that have the same mean are centered at the same place, regardless of the relationship between their standard deviations.

b. Two normal distributions that have the same standard deviation have the same spread, regardless of the relationship between their means.

Property 4of Key Fact 6.5states that most of the area under the standard normal curve lies between -3and 3. Use Table II to determine precisely the percentage of the area under the standard normal curve that lies between -3 and 3.

Obtain the z-score for which the area under the standard normal curve to its left is0.025.

Briefly, for a normally distributed variable, how do you obtain the percentage of all possible observations that lie within a specified range?
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