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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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Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
Publisher: Cengage Learning
ISBN: 9781133956570
BuyFind

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
Publisher: Cengage Learning
ISBN: 9781133956570

Solutions

Chapter
Section
Chapter 8, Problem 16P
Textbook Problem

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
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Ch. 8.2 - If a sample mean is in the critical region with =...Ch. 8.3 - A researcher conducts a hypothesis test with =...Ch. 8.3 - In a research report, the term significant is used...Ch. 8.3 - In a research report, the results of hypothesis...Ch. 8.3 - If other factors are held constant, increasing the...Ch. 8.3 - If other factors are held constant, are you more...Ch. 8.4 - A researcher selects a sample from a population...Ch. 8.4 - If a sample is sufficient to reject the null...Ch. 8.4 - A researcher obtains z = 2.43 for a hypothesis...Ch. 8.5 - Explain how increasing the sample size influences...Ch. 8.5 - A researcher selects a sample from a population...Ch. 8.5 - A researcher selects a sample from a population...Ch. 8.6 - As the power of a test increase, what happens to...Ch. 8.6 - For a 5-point treatment effect, a researcher...Ch. 8.6 - How does sample size influence the power of a...Ch. 8.6 - A researcher administers a treatment to a sample...Ch. 8 - The value of the z-score in a hypothesis test is...Ch. 8 - Define the alpha level and the critical region,...Ch. 8 - Although there is a popular belief that herbal...Ch. 8 - Childhood participation in sports, cultural...Ch. 8 - A local college requires an English composition...Ch. 8 - A random simple is selected from a normal...Ch. 8 - A random sample of n = 25 scores is selected from...Ch. 8 - Brunt, Rhee, and Zhong (2008) surveyed 557...Ch. 8 - A random simple is selected from a normal...Ch. 8 - In a study examining the effect of alcohol on...Ch. 8 - The researchers cited in the previous problem...Ch. 8 - There is some evidence indicating that people with...Ch. 8 - Researchers at a National Weather Center in the...Ch. 8 - Montarello and Martens (2005) found that...Ch. 8 - Researchers hate noted a decline in cognitive...Ch. 8 - A researcher plans to conduct an experiment...Ch. 8 - A sample of n = 40 is selected from a normal...Ch. 8 - Briefly explain how increasing sample size...Ch. 8 - Explain how the power of a hypothesis test is...Ch. 8 - A researcher is investigating the effectiveness of...Ch. 8 - A researcher is evaluating the influence of a...Ch. 8 - Find each of the requested values for a population...Ch. 8 - A survey of high school seniors shows that the...Ch. 8 - Miller (2008) examined the energy drink...

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