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 takenthirteenblood tests for uric acid. The mean concentration wasx=5.32mg/dl.The distribution of uric acid in healthy adult males can be assumed to be normal, with=1.87mg/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? (Round your answers to two decimal places.)

• lower limit=
• upper limit=
• margin of error=

(b) What conditions are necessary for your calculations? (Select all that apply.)

• is unknown
• normal distribution of uric acid
• nis large
• is known
• uniform distribution of uric acid

(c) Interpret your results in the context of this problem.

• 1. The probability that this interval contains the true average uric acid level for this patient is 0.95.
• 2. The probability that this interval contains the true average uric acid level for this patient is 0.05.
• 3. We are 5% confident that the true uric acid level for this patient falls within this interval.
• 4. We are 95% confident that the true uric acid level for this patient falls within this interval.

(d) Find the sample size necessary for a 95% confidence level with maximal margin of errorE=1.06for the mean concentration of uric acid in this patient's blood. (Round your answer up to the nearest whole number.)

• _______blood tests