Find the minimum sample size n needed to estimate
muμ
for the given values of c,
sigmaσ,
and E.
cequals=0.980.98,
sigmaσequals=5.45.4,
and
Eequals=22
Assume that a preliminary sample has at least 30 members.
nequals=
(Round up to the nearest whole number.)
Solution :
Given that,
Population standard deviation =
= 5.4
Margin of error = E = 2
c = 0.98
= 1 - c = 1 - 0.98 = 0.02
/ 2 = 0.02 / 2 = 0.01
Z/2
= Z0.01 = 2.326
sample size = n = (Z/2*
/ E) 2
n = (2.326 * 5.4 / 2)2
n = 39.44
n = 40
Sample size = 40
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