Question

Find the minimum sample size n needed to estimate mu for the given values of​ c, sigma and E.

c=0.95, sigma=8.3 and E=2

Assume that the preliminary sample has at least 30 members. n=?

Answer 1

We have given here,              
              
Population standard deviation =   8.3
Margin of error =E=2
Level of significance =1-0.95=0.05
Z critical value is (by using Z table)=1.96

Sample size formula is

=66.16

              

Therefore, sample size approximately will be 67