the required plasma component in blood replacement theraoy for a person und ndividual. Suppose that a random sample of 46 male firefighters are tested and n body weight). Assume that e7.20 m/kg for the distribution of blood plasme ulation mean blood plasma volume in male firefighters. What is the margin of en culations? (Select all that apply.)

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please help with part a,b, and d.

Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Pasma volume is infuenced
by the overall health and physical activity of an individual. Suppose that a random sample of 46 male frefighters are tested and that they have a plasma volume sample mean
of x37.5 ml/kg (militers plasma per kilogram body weight). Assume thate7.20 m/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.)
O the distribution of volumes is uniform
Oe is unknown
O the distribution of volumes is normal
On is large
a is known
(c) Interpret your results in the context of this problem.
O We are 1% confident that the true average blood plasma volume in male firefighters fals within this interval.
We are 99 confident that the true average blood plasma volume in male firefighters falls within this
interval.
O The probability that this interval contains the true average blood plasma volume in male fireighters is 0.01.
O The probabity that this interval contains the true average blood plasma volume in male firefighters is 0.99.
(d) Find the sample size necessary for a 99% confidence level with maximal margin of error E 2.60 for the mean plasma volume in male firefighters. (Round up to the
nearest whole number.)
male firefighters
Transcribed Image Text:Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Pasma volume is infuenced by the overall health and physical activity of an individual. Suppose that a random sample of 46 male frefighters are tested and that they have a plasma volume sample mean of x37.5 ml/kg (militers plasma per kilogram body weight). Assume thate7.20 m/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.) O the distribution of volumes is uniform Oe is unknown O the distribution of volumes is normal On is large a is known (c) Interpret your results in the context of this problem. O We are 1% confident that the true average blood plasma volume in male firefighters fals within this interval. We are 99 confident that the true average blood plasma volume in male firefighters falls within this interval. O The probability that this interval contains the true average blood plasma volume in male fireighters is 0.01. O The probabity that this interval contains the true average blood plasma volume in male firefighters is 0.99. (d) Find the sample size necessary for a 99% confidence level with maximal margin of error E 2.60 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.) male firefighters
Expert Solution
Step 1

Given Data :

Sample Size,

n = 46.0

Sample Mean,

x̄ = 37.5

standard deviation,

σ = 7.2

Significance level,

α =1- 0.99 = 0.01

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