Overproduction of uric acid in the body can be an indication of cell breakdown.
ID: 3178064 • Letter: O
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, leukemia, or lymphoma (Reference: Manual of Laboratory and Diagnostic Tests by F. Fischbach). Over a period of months, an adult male patient has taken eight blood tests for uric acid. The mean concentration was 5.35mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with 1.85mg/dl.
A)What is the point estimate population mean concentration of uric acid in this patient’s blood? (Round answer to two decimal places X.XX) Enter a real number only.
B)What is the margin of error? Round your answer to 2 decimal places X.XX and enter a real number only.
C)Find a 95% confidence interval for the population mean concentration of uric acid in this patient’s blood.
The 95% confidence interval for the population mean concentration of uric acid in this patient’s blood is somewhere between ____mg/dl and ____mg/dl.
D)Find the sample size necessary for a 95% confidence level with maximal margin of error E = 1.10 for the mean concentration of uric acid in this patient’s blood. Round answer to the nearest whole number.
Explanation / Answer
a) point estimate population mean =5.35
b) std error =std deviation/(n)1/2 =0.654
for 95% CI, z=1.96
hence margin of error =z*std error =1.282
c) 95% CI=mean +/-margin of error =4.068 ; 6.632
d) E=1.1
std deviation =1.85
z=1.96
hence sample size n=(z*std deviation/E)2 =~11
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