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The body mass index (kg/m2) is calculated by dividing a person weight by the square of his/her height as is used as a measure of the extent to which the individual is overweight. Suppose the distribution of the body mass index for men has a standard deviation of 3kg/m2 and we wish to estimate the mean using a sample size of n = 49. Find the probability that we could be correct within 1kg/m2.

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