Chapter 8.1, Problem 16P

Diagnostic Tests: Uric Acid 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 by F. Fischbach). Over a period of months, an adult male patient has taken eight blood tests for uric acid. The mean concentration was $\bar{x}\text{= 5}\text{.35mg/dl}$. The distribution of uric acid in healthy adult males can be assumed to be normal, with $\sigma \text{ = 1}\text{.85mg/dl}$ (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)Interpret your results in the context of this problem.

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