Question: A beleaguered PhD candidate has the impression that he must find significant results if he wants to defend his dissertation successfully. He wants to show

A beleaguered PhD candidate has the impression that he must find significant results if he wants to defend his dissertation successfully. He wants to show a difference in social awareness, as measured by his own scale, between a normal group of students and a group of exdelinquents. He has a problem, however. He has data to suggest that the normal group has a true mean equal to 38, and he has 50 of those subjects. For the other group he has access either to 100 college students who have been classed as delinquent in the past or to 25 high school dropouts with a history of delinquency. He suspects that the scores of the college group come from a population with a mean of approximately 35, whereas the scores of the dropout group come from a population with a mean of approximately 30. He can use only one of these groups—which should it be?

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