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 46 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 = 7.70 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 _____

(b) What conditions are necessary for your calculations? (Select all that apply.)

i.) n is large

ii. the distribution of weights is uniform

iii. σ is known

iv. the distribution of weights is normal

v. σ is unknown

(d) Find the sample size necessary for a 99% confidence level with maximal margin of error E = 2.30 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.)
male firefighters

Answer 1

Refer Standard normal table/Z-table or use excel function "=NORM.S.INV((1-0.005))" to find the Z-value.

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Round the value to the nearest whole number.