Question: Overproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such as gout, leukemia, or lymphoma (Reference: Manual of Laboratory and Diagnostic Tests, F. Fischbach). 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 \[\sigma \] = 1.85 mg/dl.

a.) Find a 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 95% confidence level with maximal error of estimate E = 1.10 for the mean concentration of uric acid in this patients blood.