SOLUTION: A confidence interval estimate for the population mean is given to be (42.43, 51.02). If the standard deviation is 17.845 and the sample size is 47, answer each of the following:
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Question 616184: A confidence interval estimate for the population mean is given to be (42.43, 51.02). If the standard deviation is 17.845 and the sample size is 47, answer each of the following:
(A) Determine the maximum error of the estimate, E.
(B) Determine the confidence level used for the given confidence interval.
Hi,
A confidence interval estimate for the population mean is given to be (42.43, 51.02).
(A) Determine the maximum error of the estimate, E. (51.02-42.43)/2 = 4.295
(B) Determine the confidence level used for the given confidence interval.
standard deviation is 17.845 and the sample size is 47
C = 1.649 OR ~90% confidence level
a a/2 crtical regions
80% 0.2 10% z <-1.28155 z >+1.28155
90% 0.1 5% z <-1.645 z >+1.645
92% 0.8 4% z <-1.751 z >+1.751
95% 0.05 2.50% z <-1.96 z >+1.96
98% 0.02 1% z <-2.326 z >+2.326
99% 0.01 0.50% z<-2.576 z >+2.576
