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 takenfifteenblood tests for uric acid. The mean concentration wasx=5.25mg/dl.The distribution of uric acid in healthy adult males can be assumed to be normal, with=1.83mg/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 limitupper limitmargin of error

(b)

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

normal distribution of uric acid

nis large

is known

is unknown

uniform distribution of uric acid

(c)

Interpret your results in the context of this problem.

The probability that this interval contains the true average uric acid level for this patient is 0.05.

We are 5% confident that the true uric acid level for this patient falls within this interval.

The probability that this interval contains the true average uric acid level for this patient is 0.95.

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=1.18for the mean concentration of uric acid in this patient's blood. (Round your answer up to the nearest whole number.)

blood tests