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Author: Mario F. Triola

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Chapter 12.1, Problem 1BSC

In Exercises 1-4, use the following listed arrival delay times (minutes) for American Airline flights from New York to Los Angeles. Negative values correspond to flights that arrived early. Also shown are the SPSS results for analysis of variance. Assume that we plan to use a 0.05 significance level to test the claim that the different flights have the same mean arrival delay time.

Chapter 12.1, Problem 1BSC, In Exercises 1-4, use the following listed arrival delay times (minutes) for American Airline , example 1

Chapter 12.1, Problem 1BSC, In Exercises 1-4, use the following listed arrival delay times (minutes) for American Airline , example 2

1. ANOVA

a. What characteristic of the data above indicates that we should use one-way analysis of variance?

b. If the objective is to test the claim that the three flights have the same mean arrival delay time, why is the method referred to as analysis of variance?

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 11, Problem 1FDD

Chapter 12.1, Problem 2BSC

Chapter 12 Solutions

Elementary Statistics (13th Edition)

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Introduction to experimental design and analysis of variance (ANOVA); Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=vSFo1MwLoxU;License: Standard YouTube License, CC-BY

Solution Summary: The author explains the characteristic of the data that indicates the use of one-way analysis of variance.

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Chapter 12 Solutions