Total plasma volume is important in determining the required plasma component in blood repiacement therapy for a person uncergoing surgery. Plasma volume is influenced by the overal health and physical activity of an individual. Suppose that a random sampie of 47 male firefighters are tested and that they have a plasma volume sample mean of x-37.5 mikg (mililiters plasma per kilogram body weight). Assume that-7.50 mkg for the distribution of blood plasma. (a) Find a 99% contidence interval for the population mean blood plasma volume in male frefighters. What is the margin of emor? (Round your answers to two decimal places.) lower imt 4.72 Jx upper imt margin of error (b) What conditions are necessary for your calculations? (Select all that apply.) O s known Ons large O the distribution of weights is uniform O the distribution of weights is normal Oes unknown G Interpret your resuts in the context of this probiem O The probabiliity that this interval contains the true average bilood plasma volume in male firefighters is 0.01. We are 1% confident that the true average blood plasma volume in male firefighters falls within this interval. We are 99% confident that the true average blood plasma volume in male firefighters falls within this interval. • The probability that this interval contains the true average blood plasma volume in male firefighters is 0.99.
Total plasma volume is important in determining the required plasma component in blood repiacement therapy for a person uncergoing surgery. Plasma volume is influenced by the overal health and physical activity of an individual. Suppose that a random sampie of 47 male firefighters are tested and that they have a plasma volume sample mean of x-37.5 mikg (mililiters plasma per kilogram body weight). Assume that-7.50 mkg for the distribution of blood plasma. (a) Find a 99% contidence interval for the population mean blood plasma volume in male frefighters. What is the margin of emor? (Round your answers to two decimal places.) lower imt 4.72 Jx upper imt margin of error (b) What conditions are necessary for your calculations? (Select all that apply.) O s known Ons large O the distribution of weights is uniform O the distribution of weights is normal Oes unknown G Interpret your resuts in the context of this probiem O The probabiliity that this interval contains the true average bilood plasma volume in male firefighters is 0.01. We are 1% confident that the true average blood plasma volume in male firefighters falls within this interval. We are 99% confident that the true average blood plasma volume in male firefighters falls within this interval. • The probability that this interval contains the true average blood plasma volume in male firefighters is 0.99.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question A and C please!
![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 47 male firefighters are tested and that they have a plasma volume sample mean of \( \bar{x} = 37.5 \) ml/kg (milliliters plasma per kilogram body weight). Assume that \( \sigma = 7.5 \) 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.)
Lower limit: [Input box]
Upper limit: [Input box]
Margin of error: [Input box]
**(b)** What conditions are necessary for your calculations? (Select all that apply.)
- \([ \Box ]\) \( \sigma \) is known
- \([ \Box ]\) \( n \) is large
- \([ \Box ]\) the distribution of weights is uniform
- \([ \Box ]\) the distribution of weights is normal
- \([ \Box ]\) \( \sigma \) is unknown
**(c)** Interpret your results in the context of this problem.
- \([ \circ ]\) The probability that this interval contains the true average blood plasma volume in male firefighters is 0.01.
- \([ \circ ]\) We are 1% confident that the true average blood plasma volume in male firefighters falls within this interval.
- \([ \circ ]\) We are 99% confident that the true average blood plasma volume in male firefighters falls within this interval.
- \([ \circ ]\) The probability 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 \( E = 2.80 \) for the mean plasma volume in male firefighters. (Round up to the nearest whole number.)
Sample size: [Input box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F890db880-490b-4ebd-8134-9ade3709eb7e%2Ff2848555-6844-430f-9499-a834fd46220a%2Fhw6yjrm_processed.png&w=3840&q=75)
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 47 male firefighters are tested and that they have a plasma volume sample mean of \( \bar{x} = 37.5 \) ml/kg (milliliters plasma per kilogram body weight). Assume that \( \sigma = 7.5 \) 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.)
Lower limit: [Input box]
Upper limit: [Input box]
Margin of error: [Input box]
**(b)** What conditions are necessary for your calculations? (Select all that apply.)
- \([ \Box ]\) \( \sigma \) is known
- \([ \Box ]\) \( n \) is large
- \([ \Box ]\) the distribution of weights is uniform
- \([ \Box ]\) the distribution of weights is normal
- \([ \Box ]\) \( \sigma \) is unknown
**(c)** Interpret your results in the context of this problem.
- \([ \circ ]\) The probability that this interval contains the true average blood plasma volume in male firefighters is 0.01.
- \([ \circ ]\) We are 1% confident that the true average blood plasma volume in male firefighters falls within this interval.
- \([ \circ ]\) We are 99% confident that the true average blood plasma volume in male firefighters falls within this interval.
- \([ \circ ]\) The probability 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 \( E = 2.80 \) for the mean plasma volume in male firefighters. (Round up to the nearest whole number.)
Sample size: [Input box]
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