SOLUTION: 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 overa

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Question 962979: 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 40 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 σ = 7.00 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 error of estimate E = 2.60 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.)
_______ male firefighters

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose that a random sample of 40 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 σ = 7.00 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?:: x-bar - inv(Norm0.995)s/sqrt(n) = 37.5-2.5758*(7/sqrt(40))
upper limit?:: 37.5+2.5758*(7/sqrt(40))
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margin of error? 2.5758*(7/sqrt(40))
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(d) Find the sample size necessary for a 99% confidence level with maximal error of estimate E = 2.60 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.)
n = [2.5758*7/2.6]^2 = 49 when rounded up
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49 male firefighters
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Cheers,
Stan H.
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