Overproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of ill

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Overproduction of uric acid in the body can be an indication ofcell breakdown. This may be an advance indication of illness suchas gout, leukemia, or lymphoma.† Over a period of months, anadult male patient has taken eleven blood tests for uricacid. The mean concentrationwas x = 5.29 mg/dl. Thedistribution of uric acid in healthy adult males can be assumed tobe normal, with 𝜎 = 1.77 mg/dl.
(a)
Find a 94% 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 limitupper limitmargin of error
(b)
What conditions are necessary for your calculations? (Select allthat 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.
The probability that this interval contains the true averageuric acid level for this patient is 0.94.We are 94% confident thatthe true uric acid level for this patient falls within thisinterval. We are 6% confident that thetrue uric acid level for this patient falls within thisinterval.The probability that this interval contains the trueaverage uric acid level for this patient is 0.0600000000000001.
(d)
Find the minimal sample size necessary for a 94% confidencelevel with maximal margin oferror E = 1.16 for the meanconcentration of uric acid in this patient's blood. (Round youranswer to a whole number.)
blood tests