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 twelve 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 = 1.87 mg/dl.
(a) Find a 95% confidence interval for the population meanconcentration of uric acid in this patient's blood. (Round youranswers to two decimal places.)
| lower limit    | |
| upper limit    | |
| margin of error    | |
(b) What conditions are necessary for your calculations? (Selectall that apply.)
uniform distribution of uric acidn is largenormaldistribution of uric acidσ is knownσ isunknown
(c) Give a brief interpretation of your results in the context ofthis problem.
There is a 5% chance that the confidence interval is one of theintervals containing the population average uric acid level forthis patient.There is not enough information to make aninterpretation.     The probability thatthis interval contains the true average uric acid level for thispatient is 0.05.The probability that this interval contains thetrue average uric acid level for this patient is 0.95.There is a95% 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 error of estimate E = 1.08 for the meanconcentration of uric acid in this patient's blood. (Round youranswer up to the nearest whole number.)
blood tests
