2nd Edition

ISBN: 9780077836351

Author: Author

Publisher: McGraw Hill

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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 10.3, Problem 12E

Tires and fuel economy: A tire manufacturer is interested m testing the fuel economy for two different tread patterns. Tires of each tread type were driven for 1000 miles on each of 9 different cars. The mileages. in miles per gallon. were as follows:

Chapter 10.3, Problem 12E, Tires and fuel economy: A tire manufacturer is interested m testing the fuel economy for two

Construct a 95% confidence interval for the mean difference in fuel economy.
Based on the confidence interval, is it reasonable to believe that the mean mileage may be the same for both types of tread?

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 10.3, Problem 11E

Chapter 10.3, Problem 13E

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Elementary Statistics (Text Only)

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Solution Summary: The author explains that the 95% confidence interval for difference in fuel economy is (1.01,3.24).

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