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ISBN: 9781337367691

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Textbook Question

Chapter 11, Problem 17P

a. A repeated-measures study with a sample of n = 16 participants produces a mean difference of M d = 3 with a standard deviation of s = 4 . Use a two-tailed hypothesis test with α = .05 to determine whether this sample provides evidence of a significant treatment effect.

b. Now assume that the sample standard deviation is s = 12 and repeat the hypothesis test.

c. Explain how the size of the sample standard deviation influences the likelihood of finding a significant mean difference.

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 Solutions

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Ch. 11 - For the each of the following studies determine...Ch. 11 - What is the defining characteristic of a...Ch. 11 - Explain the difference between a matched-subjects...Ch. 11 - A researcher conducts an experiment comparing two...Ch. 11 - A sample of n=9 individuals participates in a...Ch. 11 - In the Preview for Chapter 2, we presented a study...Ch. 11 - The following data are from a repeated-measures...Ch. 11 - When you get a surprisingly low price on a product...Ch. 11 - Masculine-themed words (such as competitive,...Ch. 11 - The stimulant Ritalin has been shown to increase...

Ch. 11 - College athletes, especially males, are often...Ch. 11 - Callahan (2009) demonstrated that Tai Chi can...Ch. 11 - Research results indicate that physically...Ch. 11 - There is some evidence suggesting that you are...Ch. 11 - Research indicates that the color red increases...Ch. 11 - Example 11.2 in this chapter presented a...Ch. 11 - a. A repeated-measures study with a sample of n=16...Ch. 11 - a. A repeated-measures study with a sample of n=16...Ch. 11 - A sample of difference scores from a...Ch. 11 - Participants enter a research study with unique...Ch. 11 - In the Chapter Preview we described a study...Ch. 11 - 22. The previous problem demonstrates that...

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Solution Summary: The author explains how the size of the sample standard deviation influences the likelihood of finding a significant mean difference.

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Chapter 11 Solutions