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 physical activity of an individual. Suppose that a random sample of 45 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kila body weight). Assume thato = 7.10 ml/kg for the distribution of blood plasma. When finding an 99% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.) (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.) On is large O o is unknown O the distribution of volumes is uniform Oo is known O the distribution of volumes is normal

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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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 45 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 o = 7.10 ml/kg for the distribution of blood plasma.
When finding an 99% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.)
z. =
(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 n is large
o is unknown
the distribution of volumes is uniform
O o is known
O the distribution of volumes is normal
(c) Interpret your results in the context of this problem.
O The probability that this interval contains the true average blood plasma volume in male firefighters is 0.99.
O The probability that this interval contains the true average blood plasma volume in male firefighters is 0.01.
O We are 99% confident that the true average blood plasma volume in male firefighters falls within this interval.
O We are 1% confident that the true average blood plasma volume in male firefighters falls within this interval.
(d) Which equation is used to find the sample size n for estimating u when a is known?
On=
On=
MacBook Pro
esc
&
%24
4.
%23
%3D
delete
3.
6.
7.
8.
9.
Y
U
W
Transcribed Image Text: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 45 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 o = 7.10 ml/kg for the distribution of blood plasma. When finding an 99% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.) z. = (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 n is large o is unknown the distribution of volumes is uniform O o is known O the distribution of volumes is normal (c) Interpret your results in the context of this problem. O The probability that this interval contains the true average blood plasma volume in male firefighters is 0.99. O The probability that this interval contains the true average blood plasma volume in male firefighters is 0.01. O We are 99% confident that the true average blood plasma volume in male firefighters falls within this interval. O We are 1% confident that the true average blood plasma volume in male firefighters falls within this interval. (d) Which equation is used to find the sample size n for estimating u when a is known? On= On= MacBook Pro esc & %24 4. %23 %3D delete 3. 6. 7. 8. 9. Y U W
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