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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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Transcribed Image Text: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 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
o = 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
o 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
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