Essentials of Statistics, Books a la Carte Edition (5th Edition)

5th Edition

ISBN: 9780321926739

Author: Mario F. Triola

Publisher: PEARSON

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2-Proportion Test

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 10BSC

Pelvis Injury Crash Test Data Exercises 1–4 use chest deceleration data for three different size categories (small, midsize, large). The data are from a standard crash test and they are listed in Data Set 13 in Appendix B. If we use the pelvis injury measurements (g) with the same three size categories, we get the XLSTAT results shown here. Using a 0.05 significance level, test the claim that the three size categories have the same mean pelvis injury measurement. Does the size of a car appear to affect pelvis injuries?

XLSTAT

Source	DF	Sum of squares	Mean squares	F	Pr > F
Model	2	79.1429	39.5714	0.3470	0.7111
Error	18	2049.4286	113.8571
Corrected	20	2128.5714

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 9BSC

Chapter 11.4, Problem 11BSC

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Chapter 11 Solutions

Essentials of Statistics, Books a la Carte Edition (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 no sufficient evidence to reject the claim that the three size categories have the same mean pelvis injury measurement.

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