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.
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