Statistical Reasoning for Everyday Life (5th Edition)

5th Edition

ISBN: 9780134494043

Author: Jeff Bennett, William L. Briggs, Mario F. Triola

Publisher: PEARSON

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Inverse Normal Distribution

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

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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 4.3, Problem 1E

Variation Matters. Consider two grocery stores at which the mean waiting time in line is the same but the variation of waiting times is different. At which store would you expect the customers to have more complaints about the waiting time? Explain.

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 4.2, Problem 26E

Chapter 4.3, Problem 2E

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Chapter 4 Solutions

Statistical Reasoning for Everyday Life (5th Edition)

Ch. 4.1 - Average. Define and distinguish among mean,...Ch. 4.1 - Outliers. What are outliers? Describe the effects...Ch. 4.1 - Average Confusion. Briefly describe at least two...Ch. 4.1 - Weighting. What is a weighted mean, and when is it...Ch. 4.1 - Does It Make Sense? For Exercises 59, determine...Ch. 4.1 - Does It Make Sense? For Exercises 59, determine...Ch. 4.1 - Mode. In an analysis of salaries paid to sales...Ch. 4.1 - Employment Data. A survey asked people their...Ch. 4.1 - Mean Wage. To find the mean wage of restaurant...Ch. 4.1 - Mean, Median, and Mode. In Exercises 1016, find...

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Variation Matters. Consider two grocery stores at which the mean waiting time in line is the same but the variation of waiting times is different. At which store would you expect the customers to have more complaints about the waiting time? Explain.

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