Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561

3rd Edition

ISBN: 9781259969454

Author: William Navidi Prof.; Barry Monk Professor

Publisher: McGraw-Hill Education

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Chapter 9.1, Problem 23E

Check, please: A restaurant owner claims that the mean amount spent by diners at his restaurant is more than $30. A test is made of H 0 : μ = 30 versus H 1 : μ > 30 . The null hypothesis is 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 22E

Chapter 9.1, Problem 24E

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Chapter 9 Solutions

Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561

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Check, please: A restaurant owner claims that the mean amount spent by diners at his restaurant is more than $30. A test is made of H 0 : μ = 30 versus H 1 : μ &gt; 30 . The null hypothesis is rejected. State an appropriate conclusion.

Solution Summary: The author concludes that the researcher has enough evidence to reject the null hypothesis.

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Chapter 9 Solutions

Check, please: A restaurant owner claims that the mean amount spent by diners at his restaurant is more than $30. A test is made of H 0 : μ = 30 versus H 1 : μ > 30 . The null hypothesis is rejected. State an appropriate conclusion.