Overproduction of uric acid in the body can be an indication ofcell breakdown. This may be an advance indication of illness suchas gout, leukemia, or lymphoma.†Over a period of months, an adultmale patient has taken thirteen blood tests for uric acid. The meanconcentration was x = 5.35 mg/dl. The distribution of uricacid in healthy adult males can be assumed to be normal, withσ = 1.81 mg/dl.
(a) Find a 95% confidence interval for the population meanconcentration of uric acid in this patient's blood. What is themargin of error? (Round your answers to two decimal places.)
| lower limit    | |
| upper limit    | |
| margin of error    | |
(b) What conditions are necessary for your calculations? (Selectall that apply.)
n is largeuniform distribution of uric acidσis unknownnormal distribution of uric acidσ is known
(c) Interpret your results in the context of this problem.
There is a 5% chance that the confidence interval is one of theintervals containing the population average uric acid level forthis patient.The probability that this interval contains the trueaverage uric acid level for this patient is0.95.    There is not enough information tomake an interpretation.The probability that this interval containsthe true average uric acid level for this patient is 0.05.There isa 95% chance that the confidence interval is one of the intervalscontaining the population average uric acid level for thispatient.
(d) Find the sample size necessary for a 95% confidence level withmaximal margin of error E = 1.02 for the meanconcentration of uric acid in this patient's blood. (Round youranswer up to the nearest whole number.)
blood tests
