Chapter 6: Q. 6 (page 285)
State two of the main reasons for studying the normal distribution.
Short Answer
The normal distribution can be expressed with a bell-shaped curve.
The curve is as follows:

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Chapter 6: Q. 6 (page 285)
State two of the main reasons for studying the normal distribution.
The normal distribution can be expressed with a bell-shaped curve.
The curve is as follows:

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A variable is normally distributed with a mean and standard deviation . Find the percentage of all possible values of the variable that
a. lie between and .
h. are at least .
c. are at most .
Desert Samaritan Hospital in Mesa, Arizona, keeps records of emergency room traffic. Those records reveal that the times between arriving patients have a special type of reverse-J-shaped distribution called an exponential distribution. The records also show that the mean time between arriving patients is 8 minutes.
a. Use the technology of your choice to simulate four random samples of interarrival times each.
b. Obtain a normal probability plot of each sample in part (a).
c. Are the normal probability plots in part (b) what you expected? Explain your answer.
In 1902, W. R. Macdonell published the article "On Criminal Anthropometry and the Identification of Criminals" (Biometrika, Vol. 1. Pp. 177-227). Among other things. the author presented data on the left middle finger length, in centimeters. The following table provides the midpoints and frequencies of the finger-length classes used.

Use these data and the technology of your choice to assess the normality of middle finger length of criminals by using
a. a histogram.
b. a normal probability plot.
15. Explain how to use Table II to determine the score that has a specified area to its
a. left under the standard normal curve.
b. right 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 to the right of
a. .
b. .
c. .
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