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 = 36 ml/kg (milliliters plasma per kilogram body weight). Assume that = 7.10 ml/kg for the distribution of blood plasma.
When finding an 97% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.)
Part A: zc = ____?
Part B: Find a 97% 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 ______?
Part C: Find the minimal sample size necessary for a 97% confidence level with maximal margin of error E = 2.20 for the mean plasma volume in male firefighters. (Round your answer to a whole number.)
_________ male firefighters ?
