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1. Overproduction of uric acid in the body can be an indicationof cell breakdown. This may be an advance indication of illnesssuch as gout, leukemia, or lymphoma.† Over a period of months, anadult male patient has taken fifteen blood tests for uric acid. Themean concentration was x = 5.35 mg/dl. The distribution ofuric acid in healthy adult males can be assumed to be normal, withσ = 1.77 mg/dl.

(a) Find a 95% confidence interval for the population meanconcentration of uric acid in this patient's blood. What is themargin of error? (Round your answers to two decimal places.)

lower limit   Â
upper limit   Â
margin of error   Â

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

n is largeσ is knownuniform distribution ofuric acidσ is unknownnormal distribution of uric acid

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

- There is a 95% chance that the confidence interval is one ofthe intervals containing the population average uric acid level forthis patient.

-The probability that this interval contains the true averageuric acid level for this patient is0.95.     

-There is a 5% chance that the confidence interval is one of theintervals containing the population average uric acid level forthis patient.

-The probability that this interval contains the true averageuric acid level for this patient is 0.05.

-There is not enough information to make an interpretation.

(d) Find the sample size necessary for a 95% confidence level withmaximal margin of error E = 1.10 for the meanconcentration of uric acid in this patient's blood. (Round youranswer up to the nearest whole number.)
blood tests

2. At Burnt Mesa Pueblo, archaeological studies have used themethod of tree-ring dating in an effort to determine whenprehistoric people lived in the pueblo. Wood from severalexcavations gave a mean of (year) 1251 with a standard deviation of33 years. The distribution of dates was more or less mound-shapedand symmetric about the mean. Use the empirical rule to estimatethe following.

(a) a range of years centered about the mean in which about 68%of the data (tree-ring dates) will be found
between  and  A.D.

(b) a range of years centered about the mean in which about 95% ofthe data (tree-ring dates) will be found
between  and  A.D.

(c) a range of years centered about the mean in which almost allthe data (tree-ring dates) will be found
between  and  A.D.

3. Sketch the area under the standard normal curve over theindicated interval and find the specified area. (Round your answerto four decimal places.)

The area to the left of

z = −1.43 is ______