12th Edition

ISBN: 9780321836960

Author: Mario F. Triola

Publisher: PEARSON

Concept explainers

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of tw…

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency o…

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow compar…

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Textbook Question

Chapter 14.2, Problem 1BSC

Product Specs Table 14-1 lists process data consisting of the weights (g) of quarters, and the United States Mint uses a manufacturing process designed to result in a mean weight to 5.670 g. If recent x ¯ and R control charts show that the process of manufacturing quarters is within statistical control, does that indicate that the quarters have weights that are reasonably close to 5.670 g? Why or why not?

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 13, Problem 10FDD

Chapter 14.2, Problem 2BSC

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Chapter 14 Solutions

Elementary Statistics

Ch. 14.2 - Product Specs Table 14-1 lists process data...Ch. 14.2 - Prob. 2BSC Ch. 14.2 - Prob. 3BSC Ch. 14.2 - Prob. 4BSC Ch. 14.2 - Prob. 5BSC Ch. 14.2 - Prob. 6BSC Ch. 14.2 - Prob. 7BSC Ch. 14.2 - Prob. 8BSC Ch. 14.2 - Prob. 9BSC Ch. 14.2 - Prob. 10BSC

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Solution Summary: The author explains that the quarters weight is not approximately close to 5.670 g because there is nothing known about whether the specifications and other requirements are satisfied.

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