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. Over a period of months, an adult male patient has taken ten blood tests for uric acid. The mean concentration was x = 7.15 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with = 2.73 mg/dl.

a. Find a 99% confidence interval for the population mean concentration of uric acid in this patient's blood. Show formula and answer in two decimal places

b.Find the margin of error

c.What conditions are necessary for your calculations?