Question

Over a period of months, an adult male patient has taken thirteen blood tests for uric acid. The mean concentration was x = 5.35 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with σ = 1.85 mg/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 limit
upper limit
margin of error

(b) What conditions are necessary for your calculations?

(c) Find the sample size necessary for a 95% confidence level with maximal margin of error E = 1.14 for the mean concentration of uric acid in this patient's blood. (Round your answer up to the nearest whole number.)

Answer 1

Date: 1 solution). Given that, x = 5.35 6= 1185 n= 13 At as do confidence level, x=1-95 olo 2=1-0.95 =0.05 a = o.os - 00025 2 Id 1-2 -2: 0.025 = 1.96 Margin of errorze=2212 x 6 yn -- E=1.96 * 1-85 13 E= 1.01 At as lo confidence interval is - X-Ecus XtE 5.35-1.olcuc 5.35 tl.ol - 5.34 { <u<5.36 (5.34, 5.36) = Lower limit upper limit Margin of error 5.34 15.36 1ool =

E=1114 6=1.85 At as do confidence level the zis x=1- as olo L= 1-o.q5 =o.os = 009 = 0.025 Z2122 20.025 = 1.96 sample size = 1 n= [1.96.44ES - 1.96x1.85 14 n=10.12 nell the sample size = 11