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3. A doctor prescribes Drug X - a tablet intended to reduce total cholesterol (serum, in mg/dl), which as he knows from past years of

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3. A doctor prescribes Drug X - a tablet intended to reduce total cholesterol (serum, in mg/dl), which as he knows from past years of experience yields an average decrease of 80. This time, his present group of 25 patients was given another drug, called Drug Y, which obtains an average decrease of 85 with a standard deviation of 8. Is Drug Y superior than Drug X? Use a = 0.01

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