Statistics: The Art and Science of Learning from Data (4th Edition)

4th Edition

ISBN: 9780321997838

Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg

Publisher: PEARSON

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Textbook Question

Chapter 10.2, Problem 14PB

Alcohol and Energy Drinks A 2013 article in the journal Adolescent Health stated that adding energy drinks to alcohol was associated with an elevated blood alcohol content compared to consuming alcohol without energy drinks in college students.

a. Suppose this conclusion was based on a significance test comparing means. Defining notation in context, identify the groups and the population means and state the null hypothesis for the test.
b. Suppose the study conclusion was based on a P-value of 0.01 obtained for the significance test mentioned in part a. Explain what you could learn from a confidence interval comparing the means that you are not able to learn from this P-value.

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 10.1, Problem 13PB

Chapter 10.2, Problem 15PB

Chapter 10 Solutions

Statistics: The Art and Science of Learning from Data (4th Edition)

Ch. 10.1 - Unemployment rate According to the Bureau of Labor...Ch. 10.1 - Prob. 2PB Ch. 10.1 - Binge drinking The PACE project at the University...Ch. 10.1 - Smoking and lung obstruction A National Center for...Ch. 10.1 - Do you believe in miracles? Let p1 and p2 denote...Ch. 10.1 - Aspirin and heart attacks in Sweden A Swedish...Ch. 10.1 - Swedish study test Refer to the previous exercise....Ch. 10.1 - Significance test for aspirin and cancer deaths...Ch. 10.1 - Prob. 9PB Ch. 10.1 - Comparing marketing commercials Two TV commercials...

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Solution Summary: The author explains that the conclusion will come from the testing of means. The confidence interval is more informative than the P-value.

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Chapter 10 Solutions