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 thirteen blood tests for
uric acid. The mean concentration
was x = 5.42 mg/dl. The
distribution of uric acid in healthy adult males can be assumed to
be normal, with 𝜎 = 1.75 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 limitupper limitmargin of error
(b)
What conditions are necessary for your calculations? (Select all
that apply.)
n is large𝜎 is unknownnormal distribution of
uric aciduniform distribution of uric acid𝜎 is known
(c)
Interpret your results in the context of this problem.
We are 5% confident that the true uric acid level for this
patient falls within this interval.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.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 = 1.14 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 ill
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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 ill
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