SOLUTION: If you want to be 95% confident of estimating the population mean to within a sampling error of + or - 2, the standard deviation is assumed to be 13, what is the required sample si

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Question 481140: If you want to be 95% confident of estimating the population mean to within a sampling error of + or - 2, the standard deviation is assumed to be 13, what is the required sample size?

Round to the nearest integer.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
95% confident of estimating the population mean to within a sampling error of ± 2
ME = 1.96
2 = 1.96

n = (1.96*13/2)^2
n = 162.3076, 163 rounded up
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 <-2.33 z >+2.33
99% 0.01 0.50% z<-2.576 z >+2.576

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