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Total plasma volume is important in determining the required plasma component in blood replacement therapy for...

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Basic Math

Total plasma volume is important in determining the requiredplasma component in blood replacement therapy for a personundergoing surgery. Plasma volume is influenced by the overallhealth and physical activity of an individual. Suppose that arandom sample of 45 male firefighters are tested and that they havea plasma volume sample mean of x = 37.5 ml/kg (millilitersplasma per kilogram body weight). Assume that ? = 7.30ml/kg for the distribution of blood plasma.

(a)

Find a 99% confidence interval for the population mean bloodplasma volume in male firefighters. What is the margin oferror?

(b)

What conditions are necessary for your calculations?

(c)

Interpret your results in the context of this problem.

(d)

Find the sample size necessary for a 99% confidence level withmaximal margin of error E = 2.70 for the mean plasmavolume in male firefighters.

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