7th Edition

ISBN: 9781111792374

Author: WEIERS

Publisher: Cengage Learning

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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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Textbook Question

Chapter 10.3, Problem 10.34E

A machine that fills shipping containers with driveway filler mix is set to deliver a mean fill weight of 70.0 pounds. The standard deviation of fill weights delivered by the machine is known to be 1.0 pounds. For a recent sample of 35 containers, the fill weights are listed in data file XR10034. Using the mean for this sample, and assuming that the population standard deviation has remained unchanged at 1.0 pounds, examine whether the mean fill weight delivered by the machine might now be something other than 70.0 pounds. Identify and interpret the p-value for the test. Using the 0.05 level of significance, what conclusion will be reached?

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 10.33E

Chapter 10.4, Problem 10.35E

Chapter 10 Solutions

Introduction to Business Statistics

Ch. 10.1 - The president of a company that manufactures...Ch. 10.1 - Following a major earthquake, the city engineer...Ch. 10.3 - Prob. 10.28E Ch. 10.3 - In the past, patrons of a cinema complex have...Ch. 10.3 - Following maintenance and calibration, an...Ch. 10.3 - A manufacturer of electronic kits has found that...Ch. 10.3 - A machine that fills shipping containers with...Ch. 10.5 - Prob. 10.40E Ch. 10.5 - The average age of passenger cars in use in the...Ch. 10.5 - During 2008, college work-study students earned a...

Ch. 10.5 - In response to an inquiry from its national...Ch. 10 - Prob. 10.104CE

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Solution Summary: The author explains the formula to compute the test statistic when population standard deviation is given. The decision rule states that reject the null hypothesis.

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Chapter 10 Solutions