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.t Over a period of months, an adult male patient has taken seven blood tests for uric acid. The mean concentration was x = 5.29 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with o = 1.81 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 normal distribution of uric acid Oo is unknown O uniform distribution of uric acid n is large Oo is known (c) Interpret your results in the context of this problem. The probability that this interval contains the true average uric acid level for this patient is 0.95. 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. O The probability that this interval contains the true average uric acid level for this patient is 0.05. (d) Find the sample size necessary for a 95% confidence level with maximal margin of error E = 1.08 for the mean concentration of uric acid i nearest whole number.) patient's blood. (Round your answer up to the blood tests Master It Need Help? Read It MacBook Pro SC & %23 6. 7. 8. 9. 4
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.t Over a period of months, an adult male patient has taken seven blood tests for uric acid. The mean concentration was x = 5.29 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with o = 1.81 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 normal distribution of uric acid Oo is unknown O uniform distribution of uric acid n is large Oo is known (c) Interpret your results in the context of this problem. The probability that this interval contains the true average uric acid level for this patient is 0.95. 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. O The probability that this interval contains the true average uric acid level for this patient is 0.05. (d) Find the sample size necessary for a 95% confidence level with maximal margin of error E = 1.08 for the mean concentration of uric acid i nearest whole number.) patient's blood. (Round your answer up to the blood tests Master It Need Help? Read It MacBook Pro SC & %23 6. 7. 8. 9. 4
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
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![**Understanding Confidence Intervals and Necessary Conditions in Uric Acid Measurements**
Overproduction of uric acid in the body can indicate cell breakdown and may suggest illnesses such as gout, leukemia, or lymphoma. In this scenario, an adult male patient underwent seven blood tests for uric acid. The data recorded is as follows:
- **Mean concentration (x̄):** 5.29 mg/dL
- **Standard deviation (σ):** 1.81 mg/dL
**Objective:**
1. **95% Confidence Interval:**
- **Lower limit:** [Input required]
- **Upper limit:** [Input required]
- **Margin of error:** [Input required]
2. **Conditions for Calculations:**
- A selection of conditions that justify the analysis:
- Normal distribution of uric acid
- σ is unknown
- Uniform distribution of uric acid
- Sample size (n) is large
- σ is known
3. **Interpreting Results:**
- Probability of the interval containing the true average uric acid level for this patient at 0.95
- 95% confidence that the true uric acid level for this patient falls within the interval
- 5% confidence that it does not fall within the interval
- Probability of containing the true average uric acid level at 0.05
4. **Sample Size Determination:**
- For a 95% confidence level with a maximal margin of error = 1.08, calculate the required sample size, rounding to the nearest whole number.
- [Input required] blood tests
**Additional Resources:**
- **Need Help?** Options to further explore the topic are available through resources titled "Read It" and "Master It."
This educational task involves statistical analysis to determine the confidence interval for the given medical case study, inviting learners to perform calculations and understand the statistical significance of the results.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F00154cd9-82c7-455b-845c-02cf21fdb65c%2F80c48229-1a2e-440b-bf94-385e550340d7%2Fnqm94nk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Understanding Confidence Intervals and Necessary Conditions in Uric Acid Measurements**
Overproduction of uric acid in the body can indicate cell breakdown and may suggest illnesses such as gout, leukemia, or lymphoma. In this scenario, an adult male patient underwent seven blood tests for uric acid. The data recorded is as follows:
- **Mean concentration (x̄):** 5.29 mg/dL
- **Standard deviation (σ):** 1.81 mg/dL
**Objective:**
1. **95% Confidence Interval:**
- **Lower limit:** [Input required]
- **Upper limit:** [Input required]
- **Margin of error:** [Input required]
2. **Conditions for Calculations:**
- A selection of conditions that justify the analysis:
- Normal distribution of uric acid
- σ is unknown
- Uniform distribution of uric acid
- Sample size (n) is large
- σ is known
3. **Interpreting Results:**
- Probability of the interval containing the true average uric acid level for this patient at 0.95
- 95% confidence that the true uric acid level for this patient falls within the interval
- 5% confidence that it does not fall within the interval
- Probability of containing the true average uric acid level at 0.05
4. **Sample Size Determination:**
- For a 95% confidence level with a maximal margin of error = 1.08, calculate the required sample size, rounding to the nearest whole number.
- [Input required] blood tests
**Additional Resources:**
- **Need Help?** Options to further explore the topic are available through resources titled "Read It" and "Master It."
This educational task involves statistical analysis to determine the confidence interval for the given medical case study, inviting learners to perform calculations and understand the statistical significance of the results.
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