If you want t be 95% confident of estimating the population mean to within sampling error of +/- 6 and the standard deviation is assumed to be 19, what sample size is required?
SOLUTION :
From given data,
sampling error =E = 6
standard deviation = = 19
95%
= 95/100 = 0.95
The area under the curve is
1- = 1-0.95 = 0.05
Using this area we find out Z value =1.960
Sample size = N = [(z*) / E ] 2
= [(1.960 * 19 ) / 6] 2
= (6.2067)2
= 38.523
39
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