Loose Leaf Version For Elementary Statistics

3rd Edition

ISBN: 9781260373523

Author: William Navidi Prof., Barry Monk Professor

Publisher: McGraw-Hill Education

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Chapter 9.1, Problem 25E

Big dogs: A veterinarian claims that the mean weight of adult German shepherd dogs is 75 pounds. A test is made of H 0 : μ = 75 versus H 1 : μ ≠ 75 . The null hypothesis is not rejected. State an appropriate conclusion.

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 9.1, Problem 24E

Chapter 9.1, Problem 26E

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Chapter 9 Solutions

Loose Leaf Version For Elementary Statistics

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Big dogs: A veterinarian claims that the mean weight of adult German shepherd dogs is 75 pounds. A test is made of H 0 : μ = 75 versus H 1 : μ ≠ 75 . The null hypothesis is not rejected. State an appropriate conclusion.

Solution Summary: The author concludes that the null hypothesis H_0:mu =75 has not been rejected.

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