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(6) An anthropologist wishes to estimate the average height of men for a certain ethnicity of people. If the population standard deviation is assumed

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(6) An anthropologist wishes to estimate the average height of men for a certain ethnicity of people. If the population standard deviation is assumed to be 2.5 inches and if she randomly samples 100 men, find the probability that the difference between the sample mean and the true population mean will not exceed 0.5 inch.

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