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 41male 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.)a:lower limit=
b:upper limit=
c:margin of error=
(b) What conditions are necessary for your calculations? (Select all that apply.)
a:n is large
b:σ is unknown
c:the distribution of weights is uniform
d:the distribution of weights is normal
σ is known

(c) Interpret your results in the context of this problem.
a:The probability that this interval contains the true average blood plasma volume in male firefighters is 0.99.
b:99% of the intervals created using this method will contain the true average blood plasma volume in male firefighters.
c:The probability that this interval contains the true average blood plasma volume in male firefighters is 0.01.
d:1% of the intervals created using this method will contain the true average blood plasma volume in male firefighters.

(d) Find the sample size necessary for a 99% confidence level with maximal margin of error E = 2.00 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.)
male firefighters=

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