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Overproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such as gout, leukemia, or lymphoma.+ Over a period of months, an adult male patient has taken eleven blood tests for uric acid. The mean concentration was x = 5.31 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with σ = 1.79 mg/dl. (a) Find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. 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 is known ☐ a is unknown uniform distribution of uric acid On is large normal distribution of uric acid (c) Interpret your results in the context of this problem. O The probability that this interval contains the true average uric acid level for this patient is 0.95. O The probability that this interval contains the true average uric acid level for this patient is 0.05. O We are 95% confident that the true uric acid level for this patient falls within this interval. O We are 5% confident that the true uric acid level for this patient falls within this interval. (d) Find the sample size necessary for a 95% confidence level with maximal margin of error E= 1.10 for the mean concentration of uric acid in this patient's blood. (Round your answer up to the nearest whole number.) blood tests

Overproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such as gout, leukemia, or lymphoma.+ Over a period of months, an adult male patient has taken eleven blood tests for uric acid. The mean concentration was x = 5.31 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with σ = 1.79 mg/dl. (a) Find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. 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 is known ☐ a is unknown uniform distribution of uric acid On is large normal distribution of uric acid (c) Interpret your results in the context of this problem. O The probability that this interval contains the true average uric acid level for this patient is 0.95. O The probability that this interval contains the true average uric acid level for this patient is 0.05. O We are 95% confident that the true uric acid level for this patient falls within this interval. O We are 5% confident that the true uric acid level for this patient falls within this interval. (d) Find the sample size necessary for a 95% confidence level with maximal margin of error E= 1.10 for the mean concentration of uric acid in this patient's blood. (Round your answer up to the nearest whole number.) blood tests

MATLAB: An Introduction with Applications
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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**Topic: Statistical Analysis of Uric Acid Levels** Overproduction of uric acid in the body can be an indication of cell breakdown. This may indicate illnesses such as gout, leukemia, or lymphoma. Over a period of months, an adult male patient has taken eleven blood tests for uric acid. The mean concentration was \(\bar{x} = 5.31 \, \text{mg/dl}\). The distribution of uric acid in healthy adult males can be assumed to be normal, with \(\sigma = 1.79 \, \text{mg/dl}\). **(a) Confidence Interval Calculation** - Calculate the 95% confidence interval for the population mean concentration of uric acid in this patient’s blood. - Determine the margin of error. (Round answers to two decimal places.) | Lower Limit | Upper Limit | Margin of Error | |-------------|-------------|-----------------| | | | | **(b) Necessary Conditions for Calculation** - Select all applicable conditions: - \(\sigma\) is known - \(\sigma\) is unknown - Uniform distribution of uric acid - \(n\) is large - Normal distribution of uric acid **(c) Interpretation of Results** - Choose the correct interpretation: - The probability that this interval contains the true average uric acid level for this patient is 0.95. - The probability that this interval contains the true average uric acid level for this patient is 0.05. - We are 95% confident that the true uric acid level for this patient falls within this interval. - We are 5% confident that the true uric acid level for this patient falls within this interval. **(d) Sample Size Calculation** - Find the sample size necessary for a 95% confidence level with a maximal margin of error \(E = 1.10\) for the mean concentration of uric acid in this patient's blood. (Round your answer up to the nearest whole number.) | Number of blood tests | |-----------------------| This exercise helps in understanding how to calculate and interpret confidence intervals in the context of medical testing and diagnosis.
Transcribed Image Text:**Topic: Statistical Analysis of Uric Acid Levels** Overproduction of uric acid in the body can be an indication of cell breakdown. This may indicate illnesses such as gout, leukemia, or lymphoma. Over a period of months, an adult male patient has taken eleven blood tests for uric acid. The mean concentration was \(\bar{x} = 5.31 \, \text{mg/dl}\). The distribution of uric acid in healthy adult males can be assumed to be normal, with \(\sigma = 1.79 \, \text{mg/dl}\). **(a) Confidence Interval Calculation** - Calculate the 95% confidence interval for the population mean concentration of uric acid in this patient’s blood. - Determine the margin of error. (Round answers to two decimal places.) | Lower Limit | Upper Limit | Margin of Error | |-------------|-------------|-----------------| | | | | **(b) Necessary Conditions for Calculation** - Select all applicable conditions: - \(\sigma\) is known - \(\sigma\) is unknown - Uniform distribution of uric acid - \(n\) is large - Normal distribution of uric acid **(c) Interpretation of Results** - Choose the correct interpretation: - The probability that this interval contains the true average uric acid level for this patient is 0.95. - The probability that this interval contains the true average uric acid level for this patient is 0.05. - We are 95% confident that the true uric acid level for this patient falls within this interval. - We are 5% confident that the true uric acid level for this patient falls within this interval. **(d) Sample Size Calculation** - Find the sample size necessary for a 95% confidence level with a maximal margin of error \(E = 1.10\) for the mean concentration of uric acid in this patient's blood. (Round your answer up to the nearest whole number.) | Number of blood tests | |-----------------------| This exercise helps in understanding how to calculate and interpret confidence intervals in the context of medical testing and diagnosis.
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