Question: 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 an individual. A random sample of 45 male firefighters are tested and they have a plasma volume sample mean of 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that \(\sigma \) = 7 .5 ml/kg for the distribution of blood plasma.

1. Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (b) Briefly state conditions that are necessary for your calculation, and give an interpretation of the results in the context of 99 percent confidence interval. (c) Find the sample size necessary for a 99% confidence level with maximal error of estimate E = 2.5 for the mean plasma volume in male firefighters.
   
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