(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 falls within this interval. 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. We are 99% 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 when a is known? On-(ZE)² On-√20 On=√ √ZE On-(260)² Find the sample size necessary for a 99% confidence level with maximal margin of error E= 2.50 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.) male firefighters
(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 falls within this interval. 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. We are 99% 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 when a is known? On-(ZE)² On-√20 On=√ √ZE On-(260)² Find the sample size necessary for a 99% confidence level with maximal margin of error E= 2.50 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.) male firefighters
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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![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 42 male firefighters are tested and that they have a plasma volume sample mean of \( \overline{x} = 37.5 \, \text{ml/kg} \) (milliliters plasma per kilogram body weight). Assume that \( \sigma = 8.00 \, \text{ml/kg} \) for the distribution of blood plasma.
When finding a 99% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.)
\( z_c = 2.58 \)
(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: 34.32
- upper limit: 40.68
- margin of error: 3.18
(b) What conditions are necessary for your calculations? (Select all that apply.)
- [✔️] \( \sigma \) is known
- [ ] \( \sigma \) is unknown
- [✔️] \( n \) is large
- [ ] the distribution of volumes is uniform
- [ ] the distribution of volumes is normal
(c) Interpret your results in the context of this problem.
- [ ] We are 1% 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.
- [ ] The probability that this interval contains the true average blood plasma volume in male firefighters is 0.01.
- [✔️] We are 99% 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 \( \mu \) when \( \sigma \) is known?
- [ ] \( n = \left( \frac{z_c \sigma}{E} \right)^2 \)
- [ ] \( n = \frac{z_c \sigma}{E} \)
- [ ] \( n = \left( \frac{z_c E}{\sigma} \right)^2 \)
- [](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F49ee44ba-3028-41be-9940-bf6159fe51a9%2Febc98e6f-dff0-44a9-b40b-b79ce70a98d8%2Fzlx98by_processed.jpeg&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 42 male firefighters are tested and that they have a plasma volume sample mean of \( \overline{x} = 37.5 \, \text{ml/kg} \) (milliliters plasma per kilogram body weight). Assume that \( \sigma = 8.00 \, \text{ml/kg} \) for the distribution of blood plasma.
When finding a 99% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.)
\( z_c = 2.58 \)
(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: 34.32
- upper limit: 40.68
- margin of error: 3.18
(b) What conditions are necessary for your calculations? (Select all that apply.)
- [✔️] \( \sigma \) is known
- [ ] \( \sigma \) is unknown
- [✔️] \( n \) is large
- [ ] the distribution of volumes is uniform
- [ ] the distribution of volumes is normal
(c) Interpret your results in the context of this problem.
- [ ] We are 1% 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.
- [ ] The probability that this interval contains the true average blood plasma volume in male firefighters is 0.01.
- [✔️] We are 99% 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 \( \mu \) when \( \sigma \) is known?
- [ ] \( n = \left( \frac{z_c \sigma}{E} \right)^2 \)
- [ ] \( n = \frac{z_c \sigma}{E} \)
- [ ] \( n = \left( \frac{z_c E}{\sigma} \right)^2 \)
- [
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