A Research Psychologist tries to predict whether extreme-sport athletes will be greater risk takers than the general population. The general population is normally distributed with a mean of 160 and a standard deviation of 40, on the risk-taking questionnaire the psychologist intends to use. The psychologist expects that athletes will obtain a score that is equivalent to a 6-point effect on the questionnaire. The psychologist intends to study 75 athletes. Determine the power of this study, using a two-tailed test with α = 0.05.
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