//Total plasma volume is important in determining the required plasma component
ID: 3295810 • Letter: #
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 43 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 = 7.80 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 = 2.60 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.)
Explanation / Answer
a)std error of mean =std deviation/(n)1/2 =7.8/(43)1/2 =1.1895
for 99% CI ; z=2.5758
therefore margin of error =z*std error =3.06
lower limit =mean -margin of error =34.44
upperr limit =mean +margin of error =40.56
d) margin of error E =2.6
for sample size =(z*std deviaiton/E)2 =60
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