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) About Me  (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 = 1.96alpha%2Fsqrt%28n%29

2 = 1.9613%2Fsqrt%28n%29

sqrt%28n%29+=+1.96%2A13%2F2

     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