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Psychology
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Statistics for Psychology
Quiz 6: Making Sense of Statistical Significance:decision Errors, Effect Size, and Statistical Power
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Question 61
Essay
A new company has made the claim that its test preparation program will improve SAT scores by 25 points.A skeptical educational psychologist has decided to test this theory and has enlisted 25 students who are willing to participate in the program.Assume the standard SAT mean is 550 with a standard deviation of 100. a.What is the predicted effect size for an increase of 25 points? b.Explain the logic of what has been done. c.Advanced topic: Sketch the distributions involved. d.Advanced topic: If the data are analyzed at the .05 significance level,what will be the power of the study? e.Advanced topic: Explain your answer to a person who understands hypothesis testing with means of samples,but who is not familiar with power.
Question 62
Short Answer
Interpreting the results of theoretical studies is more likely to emphasize significance level,while interpreting the results of applied studies is more likely to emphasize __________.
Question 63
Essay
Advanced topic: A social psychologist is designing a study to see whether people who see a particular film are more likely to use violence as a solution to a problem.The psychologist plans to use a scale that assesses this construct,which has a population mean of 78 and a standard deviation of 14.The psychologist expects an increase of eight points above the population mean.Fifteen participants will be enrolled in the study,and the data will be analyzed at the .05 level. a.What is the power of the study? b.Sketch the distributions involved. c.Explain your answer to a person who understands hypothesis testing with means of samples,but who is not familiar with effect size or power. d.What is the predicted effect size? e.What are three things that might be done to increase the power of the study?
Question 64
Short Answer
The smaller the population standard deviation,the greater the power,because the distributions of means based on the known and comparison populations are both __________.