Question

-PLEASE SHOW ALL WORK-

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.

(i) 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 :

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

-n is large

-σ is unknown

-the distribution of weights is normal

-σ is known

-the distribution of weights is uniform

(iii) Interpret your results in the context of this problem

-The probability that this interval contains the true average blood plasma volume in male firefighters is 0.99.

-The probability that this interval contains the true average blood plasma volume in male firefighters is 0.01.

-1% of the intervals created using this method will contain the true average blood plasma volume in male firefighters.

-99% of the intervals created using this method will contain the true average blood plasma volume in male firefighters.

(a) Find the sample size necessary for a 99% confidence level with maximal margin of error E = 2.10 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.)

______male firefighters

Answer 1