Overproduction of uric acid in the body can be an indication of cell breakdown.

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.t Over a period of months, an adult male patient has taken twelve 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 ? 1.87 mg/dl. (a) Find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. (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.) normal distribution of uric acid O ? is known o uniform distribution of uric acid ? is unknown O n is large

Explanation / Answer

Solution: Given that x = 5.35, ? = 1.87, n = 12

(a) 95% confidence interval for the Z = 1.96

95% confidence interval for the population mean = X +/- Z*?/sqrt(n)
= 5.35 +/- 1.96*1.87/sqrt(12)
= (4.2919 , 6.4080)
= (4.29 , 6.41) rounded

lower limit = 4.29
upper limit = 6.41
margin of error = 1.96*1.87/sqrt(12) = 1.06

(b) option A. normal distribution of uric acid
option B. ? is known

(C) option B.There is a 95% chance that the confidence interval is one of the intervals containing the population average uric level for this patient.

(d) n = (Z*?/E)^2 = (1.96*1.87/1.14)^2 = 10.3367 = 10

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