Question: Over production of uric acid in the body can be and indication of cell breakdown. This may be an advance indication of illness such as gout, leukemia, or lymphoma. Over a period of months, an adult male patient has taken eight blood tests for uric acid. The mean concentration was \(\bar{X}\) =5.35 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal with \(\sigma \) = 1.85mg/dl.

a. Find 95 % confidence interval for the population mean concentration of uric acid in this patient’s blood. What is the margin of error?

b. What conditions are necessary for your calculations?

c. Give a brief interpretation of your results in the context of this problem.

d. Sample size. Find the sample size necessary for a 95 % confidence level with maximal error of estimate E= 1.10 for the mean concentration of uric acid in the is patient’s blood.