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 uric acid inhealthy adult males can be assumed to be normal, with ? = 1.89mg/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.) lowerlimit upper limit margin of error

(b) What conditions are necessary for your calculations? (Selectall that apply.) uniform distribution of uric acid n is large ? isunknown ? is known normal distribution of uric acid

(c) Interpret your results in the context of this problem. Thereis a 5% chance that the confidence interval is one of the intervalscontaining the population average uric acid level for this patient.The probability that this interval contains the true average uricacid level for this patient is 0.05. There is a 95% chance that theconfidence interval is one of the intervals containing thepopulation average uric acid level for this patient. Theprobability that this interval contains the true average uric acidlevel for this patient is 0.95. There is not enough information tomake an interpretation.

(d) Find the sample size necessary for a 95% confidence levelwith maximal margin of error E = 1.14 for the mean concentration ofuric acid in this patient's blood. (Round your answer up to thenearest whole number.) blood tests