12th Edition

ISBN: 9780321837936

Author: Mario F. Triola

Publisher: PEARSON

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Chapter 5, Problem 6RE

In Exercises 5 and 6, refer to the table in die margin. The random variable x is the number of males with tinnitus (ringing ears) among four randomly selected males (based on data from “Prevalence and Characteristics of Tinnitus among US Adults” by Shargorodsky et al., American Journal of Medicine, Vol. 123, No. 8).

6. Tinnitus Find the mean and standard deviation tor the random variable x. Use the range rule of thumb to identity the range of usual values for the number of males with tinnitus among four randomly selected males. Is it unusual to get three males with tinnitus among four randomly selected males?

x	p(x)
0	0.674
1	0.280
2	0.044
3	0.003
4	0+

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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Chapter 5, Problem 5RE

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Chapter 5 Solutions

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Solution Summary: The author explains the range of usual values for the number of males with tinnitus among four randomly selected men.

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