Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

9th Edition

ISBN: 9781337098120

Author: Frederick J Gravetter, Larry B. Wallnau, Lori-Ann B. Forzano

Publisher: Cengage Learning

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Textbook Question

Chapter 8.3, Problem 1LC

A research report includes the statement, “z - 2.18. p <.05.” What happened in the hypothesis test?

a. The obtained sample mean was very unlikely if the null hypothesis is true, so H₀ was rejected.
b. The obtained sample mean was very likely if the null hypothesis is true, so H₀ was rejected.
c. The obtained sample mean was very unlikely if the null hypothesis is true, and the test failed to reject H₀.
d. The obtained sample mean was very likely if the null hypothesis is true, and the test failed to reject H₀.

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 8.2, Problem 3LC

Chapter 8.3, Problem 2LC

Chapter 8 Solutions

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Ch. 8.1 - In general terms, what is a hypothesis test? 1. A...Ch. 8.1 - A sample is selected from a population with a mean...Ch. 8.1 - Which of the following accurately describes the...Ch. 8.1 - A sample of n - 25 individuals is selected from a...Ch. 8.2 - What does a type II error mean? a. A researcher...Ch. 8.2 - Which of the following defines a Type I error? a....Ch. 8.2 - Prob. 3LC Ch. 8.3 - A research report includes the statement, z -...Ch. 8.3 - Prob. 2LC Ch. 8.3 - What assumption is needed before you can use the...

Ch. 8.4 - A population is known to have a mean of = 50. A...Ch. 8.4 - A researcher is conducting an experiment to...Ch. 8.4 - A researcher expects a treatment to produce an...Ch. 8.5 - Under what circumstances can a very small...Ch. 8.5 - A sample of n - 9 scores is selected from a...Ch. 8.5 - If other factors are held constant, then how does...Ch. 8.6 - If the power of a hypothesis test is found to be p...Ch. 8.6 - How does the sample size influence the likelihood...Ch. 8.6 - How is the power of a hypothesis test related to...Ch. 8 - Identify the four steps of a hypothesis test as...Ch. 8 - Define the alpha level and the critical region for...Ch. 8 - Define a Type I error and a Type II error and...Ch. 8 - If the alpha level is changed from = .05 to =...Ch. 8 - Explain how each of the following influences the...Ch. 8 - Ackerman and Goldsmith (2011) report that students...Ch. 8 - Babcock and Marks (2010) review survey data from...Ch. 8 - Childhood participation in sports, cultural...Ch. 8 - The psychology department is gradually changing...Ch. 8 - A random sample is selected from a normal...Ch. 8 - A random sample of n = 16 stores is selected from...Ch. 8 - In a study examining the effect of humor on...Ch. 8 - A random sample is selected from a normal...Ch. 8 - Researchers at a National Weather Center in the...Ch. 8 - A high school teacher has designed a new course...Ch. 8 - Miller (2008) examined the energy drink...Ch. 8 - After examining over one million online restaurant...Ch. 8 - A researcher is evaluating the influence of a...Ch. 8 - A researcher plans to conduct an experiment...Ch. 8 - Research has shown that 10 scores have been...Ch. 8 - Briefly explain how increasing sample size...Ch. 8 - Explain how the power of a hypothesis test is...

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Solution Summary: The author explains that the hypothesis test for the given statement is the obtained sample mean was very unlikely if the null hypothesis is true.

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Chapter 8 Solutions