Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
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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Chapter 8, Problem 19P

A researcher plans to conduct an experiment evalu­ating the effect of a treatment. A sample of n = 9 participants is selected and each person receives the treatment before being tested on a standardized dex­terity task. The treatment is expected to lower scores on the test by an average of 30 points. For the regular population, scores on the dexterity task form a normal distribution with μ = 240 and σ = 30.

a. If the researcher uses a two-tailed test with α – .05, what is the power of the hypothesis test?

b. Again assuming a two-tailed test with α – .05, what is the power of the hypothesis test if the sample size is increased to n = 25?

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Chapter 8 Solutions

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

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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