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. Suppose that a random sample of 45 male firefighters are tested and that they have a plasma volume sample mean of x bar=37.5 ml/kg. Assume that σ=7.50 ml/kg for the distribution of blood plasma. a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? b) What conditions are necessary for your calculations? (i.e. sample size requirements and σ known or unknown?) c) Compare your results in the context of this problem. (Relate your confidence interval statement directly back to the context of the problem, like problem #16.) d) Find the sample size necessary for a 99% confidence level with maximal margin of error E= 2.50 for the mean plasma volume in male firefighters.
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. Suppose that a random sample of 45 male firefighters are tested and that they have a plasma volume sample mean of x bar=37.5 ml/kg. Assume that σ=7.50 ml/kg for the distribution of blood plasma.
a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error?
b) What conditions are necessary for your calculations? (i.e.
c) Compare your results in the context of this problem. (Relate your confidence interval statement directly back to the context of the problem, like problem #16.)
d) Find the sample size necessary for a 99% confidence level with maximal margin of error E= 2.50 for the mean plasma volume in male firefighters.
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