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 six 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 = 1.75 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.)
uniform distribution of uric acid
σ is known
σ is unknown
n is large
normal 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 0.05.There is not enoughinformation to make an interpretation.    Thereis a 95% 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 is 0.95.There is a 5%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
