12th Edition

ISBN: 9780321836960

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 8, Problem 4CRE

Hypothesis Test for Dictionary Words Refer to the sample data given in Exercise 1. Given that the dictionary has 1459 pages with defined words, the claim that there are more than 70,000 defined words is the same as the claim that the mean number of defined words on a page is greater than 48.0. Use a 0.05 significance level to test the claim that the mean number of defined words on a page is greater than 48.0. What does the result suggest about the claim that there are more than 70,000 defined words in the dictionary?

1. Dictionary Words A simple random sample of pages from Merriam-Webster's Collegiate Dictionary, 11th edition, is obtained. Listed below are the numbers of words defined on those pages. Find the values of the indicated statistics.

51 63 36 43 34 62 73 39 53 79 a. Mean b. Median c. Standard deviation d. Variance e. Range

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 8, Problem 3CRE

Chapter 8, Problem 5CRE

Chapter 8 Solutions

Elementary Statistics

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Solution Summary: The author concludes that there is no sufficient evidence to support the claim that the mean number of defined words on a page is greater than 48.0.

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