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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

6.68 Use Table II to obtain each shaded area under the standard normal curve.

Use Table to obtain the areas under the standard normal curve. Sketch a standard normal curve and shade the area of interest in each problem.

Find the area under the standard normal curve that lies

a. either to the left of -2.12or to the right of 1.67.

b. either to the left of 0.63or to the right of 1.54.

From the paper "Effects of Chronic Nitrate Exposure on Gonad Growth in Green Sea Urchin Strongylocentrotus droebachiensis" by S. Siikavuopio et al., we found that weights of adult green sea urchins are normally distributed with mean 52gand standard deviation 17.2g.

Part (a): Find the percentage of adult green sea urchins with weights between 50gand 60g.

Part (b): Obtain the percentage of adult green sea urchins with weight above 40g.

Part (c): Determine and interpret the 90thpercentile for the weights.

Part (d): Find and interpret the 6thdecile for the weights.

A variable is normally distributed with mean 10 and standard deviation 3.

a. Determine and interpret the quartiles of the variable.

b. Obtain and interpret the seventh decile.

c. Find the value that 35% of all possible values of the variable exceed.

d. Find the two values that divide the area under the corresponding normal curve into a middle area of 0.99 and two outside areas of 0.005. Interpret your answer.

Use Table II to obtain the areas under the standard normal curve required in Exercises 6.59-6.66. Sketch a standard normal curve and shade the area of interest in each problem.

6.60 Determine the area under the standard normal curve that lies to the left of

a. -0.87.

b.3.56

c. 5.12.
See all solutions

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