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A researcher is evaluating the influence of a medical treatment on scores of physical activity using a sample selected from a normally distributed population with a mean of ? = 80 and a ? = 12. the researcher expects that the medical treatment will lead to an 8 point increase in scores of physical activity. determine the necessary sample size to detect this eight point increase at ? = .01 (2-tailed) and ? = 0.10. show work

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