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Chapter 6: Q.6.117 (page 283)
Explain why assessing the normality of a variable is often important.
The variable's normalcy is significant.
A random variable's normality is a quality of a normal distribution-distributed random variable.
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13. What key fact permits you to determine percentages for a normally distributed variable by first converting to scores and then determining the corresponding area under the standard normal curve?
12. Consider the normal curves that have the parameters and and and and
a. Which curve has the largest spread?
b. Which curves are centered at the same place?
c. Which curves have the same spread?
d. Which curve is centered farthest to the left?
e. Which curve is the standard normal curve?
Explain in detail what a normal probability plot is and how it is used to assess the normality of a variable.
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 to the right of
a. .
b. .
c. .
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 states and the District of Columbia are approximately normally distributed? Explain your answer.
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