Overproduction of uric acid in the body can be an indication of cell breakdown.
ID: 2907375 • Letter: O
Question
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 = 5.35 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with ? = 1.93 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.)
(b) What conditions are necessary for your calculations? (Select all that apply.)
uniform distribution of uric acid
normal distribution of uric acid
n is large
? is known
? is unknown
lower limit upper limit margin of errorExplanation / Answer
Solution :
Given that x = 5.35 , ? = 1.93 , n = 11
(a) Lower limit = 4.21
Upper limit = 6.49
Margin of error = 1.14
Explanation:
For 95% confidence interval , Z = 1.96
=> The 95% confidence interval of the population mean is x +/- Z*?/sqrt(n)
=> 5.35 +/- 1.96*1.93/sqrt(11)
=> 4.21 , 6.49
=> Margin of error = Z*?/sqrt(n)
= 1.96*1.93/sqrt(11)
= 1.14
(b) Normal distribution of uric acid and ? is known
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