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 eleven 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 = 1.79 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.)
σ is knownnormal distribution of uric acidσ isunknownn is largeuniform distribution of uric acid
(c) Interpret your results in the context of this problem.
The probability that this interval contains the true averageuric acid level for this patient is 0.95.We are 5% confident thatthe true uric acid level for this patient falls within thisinterval.     The probability that thisinterval contains the true average uric acid level for this patientis 0.05.We are 95% confident that the true uric acid level for thispatient falls within this interval.
(d) Find the sample size necessary for a 95% confidence level withmaximal margin of error E = 1.04 for the meanconcentration of uric acid in this patient's blood. (Round youranswer up to the nearest whole number.)
blood tests
