Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery.  Plasma volume is influenced by the overall health and physical activity of the individual.  Suppose that a random sample of 45 male firefighters was tested and the sample mean was 37.5 ml/kg.  Assuming that the population standard deviation for the distribution of blood plasma is 7.5 ml/mg.  Find a 99% confidence interval for the mean blood plasma volume in male firefighters.

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A: proportion of a normal distribution is located between the mean and z = 2.00

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