Question

ponent in blood replacement therap- Total plasma determinin plasma c Plasma volum is influenced by the overall health sical activity of an individual. Suppose that a random sample of 50 male firafighters are tested and that thay have a plasma valume sample maan of x- 37.5 ml/kg (millilitars plasma per kilogram body waight). Assuma that a 7.90 ml/kg for the distribution of blood plasma (a) Find a 999% confidenca interval for the population maan blood plasma volume in male firefighters. what is the margin of error? (Round your answers to two dedimal places. lower limit upper limit marqin of error (b) what conditions e necessary for your calculations? (Select all that apply.) the distribution of weights is uniform is unknown the distribution weights is normal a is known n is large ( Interpret your results in the context of this problem. 99% of the intervals created using this method will contain the true average blood plasma volume in male firefighters O 1% of the intervals created using this method will contain the true average bload plasma voluma in male firefighters. O The probability that this intoerval contains thee true average blood plasma volume in male firefighters is 0.99. O Tha probability that this interval contains the true avarage blood plasma volume in mala firafightars is 0.01. (d) Find the sample size necessary for a 99% confidence level with maximal margin of error E = 2.20 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.) male firefighters

Answer 1

a.

Critical value at 99% confidence (Z)=2.58 (use z table)

99% confidence interval is given by

tz 7.90 37.5 t 2.58 V50 37.5土2.8825 - ( 34.6175, 40.3825) lower limit 34.62 upper limit 40.38

2.88 n margin of error z* 15

7.90 2.58 285.8318 aZ ME 2.20 n 86