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 20P

Research has shown that 10 scores have been increasing for years (Flynn, 1984, 1999). The phenomenon is called the Flynn effect and the data indicate that the increase appears to average about 7 points per decade. To examine this effect, a researcher obtains an IQ test with instructions for scoring from 10 years ago and plans to administers the test to a sample of n = 25 of today’s high school students. Ten years ago, the scores on this IQ test produced a standardized distribution with a mean of μ = 100 and a standard deviation σ = 15. If there actually has been a 7-point increase in the average IQ during the past ten years, then find the power of the hypothesis test for each of the following.

a. The researcher uses a two-tailed hypothesis test with α – .05 to determine the data indicate a sig­nificant change in IQ over the past 10 years.

b. The researcher uses a one-tailed hypothesis test with α – .05 to determine the data indicate a sig­nificant increase in IQ over the past 10 years.

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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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