5th Edition

ISBN: 9780321924599

Author: Mario F. Triola

Publisher: PEARSON

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In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Textbook Question

Chapter 11.4, Problem 7BSC

Highway Fuel Consumption Data Set 14 in Appendix B lists highway fuel consumption amounts (mi/gal) tor cars categorized by size (small, midsize, large). If we use those high-way fuel consumption amounts arranged into the three separate size categories, we get the TI-83/84 Plus calculator results shown below. Using a 0.05 significance level, test the claim that the three size categories have the same mean highway fuel consumption. Does the size of a car appear to affect highway fuel consumption?

Chapter 11.4, Problem 7BSC, Highway Fuel Consumption Data Set 14 in Appendix B lists highway fuel consumption amounts (mi/gal)

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 11.4, Problem 6BSC

Chapter 11.4, Problem 8BSC

Chapter 11 Solutions

Essentials of Statistics (5th Edition)

Ch. 11.2 - Prob. 1BSC Ch. 11.2 - Prob. 2BSC Ch. 11.2 - Prob. 3BSC Ch. 11.2 - Prob. 4BSC Ch. 11.2 - Prob. 5BSC Ch. 11.2 - Prob. 6BSC Ch. 11.2 - In Exercises 5-20, conduct the hypothesis test and...Ch. 11.2 - In Exercises 5-20, conduct the hypothesis test and...Ch. 11.2 - Prob. 9BSC Ch. 11.2 - In Exercises 5-20, conduct the hypothesis test and...

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Solution Summary: The author explains that there is sufficient evidence to reject the claim that the three size categories have the same mean highway fuel consumption.

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Chapter 11 Solutions