Total plasma volume is important in determining the required plasma component in

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. Suppose that a random sample of 41 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that = 7.30 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? (Round your answers to two decimal places.) lower limit? upper limit? margin of error? (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. (Round up to the nearest whole number.) _male firefighters

Explanation / Answer

x-bar = 37.5

n = 41

sd = 7.30

z_c = 2.58

Margin of error, E = (sd*z_c)/sqrt(n)

= (7.30 * 2.58)/sqrt(41) = 2.9413

lower limit = x-bar - E = 37.5 - 2.9413 = 34.5587

upper limit = x-bar + E = 37.5 + 2.9413+ = 40.4413

Margin of error, E= 2.9413

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