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 seven blood tests for uric acid. The mean concentration was x = 5.35 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with standard deviation = 1.87 mg/dl.
a) Find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood (round answers to two decimal places).
Lower limit =
Upper limit =
Marign of error =
b) What conditions are necessary for your calculations? (Select all that apply)
( ) n is large
( ) standard deviation is unknown
( ) standard deviation is known
( ) uniform distribution of uric acid
( ) normal distribution of uric acid
c) Find the sample size necessary for a 95% confidence level with maximal error of estimate E = 1.20 for the mean concentration of uric acid in this patient's blood (round answers to nearest whole number)