Overproduction of uric acid in the body can be an indication of cell breakdown.

Question

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, leuemia, or lympthoma.T Over a period of months, an adult male patient has taken fourteen blood tests for uric acld. The mean concentration was x-.35 mg/d. The distribution of uric acild in healthy adult males can be assumed to be normal, with 1.83 mg/dL (a) Find a 95% cofdence interval for the population mean concentration of ric add in this patient s blood what is the margin of error, Round your ansos to to dema places.) lower lim upper limt margin of error (b) what conditions are necessary for your calculations? (Select all that apply.) normal distribution of uric acid n is large uniform distribution of uric acid 2 a is known is unknown c) Interpret your results in the context of this problem. O The probability that this interval contains the true average uric acid level for this patient is o.05 There is not enough information to make an interpretation There is a 5% chance that the confidence intervalls one of the intervals containing the population average uric acid levei tor mit patient. * There is a 95% chance that the coendence interval is one of the Intervals containing the population average uric add level for this patient

Explanation / Answer

Solution:- Given that x-bar = 5.35 , = 1.83 , n = 14
a) 95% confidence interval for Z score is 1.96

So 95% confidence interval is x-bar +/- Z*/sqrt(n)
= 5.35 +/- 1.96*(1.83/sqrt(14)
= ( 4.39 , 6.31 )

lower limit - 4.39
upper limit - 6.31
margin of error - 0.96

d) Given that E = 1.18

n = (Z * /E)^2

n = (1.96*1.83/1.18)^2

n = 9.23

n = 9
  

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