Solution:
Given ,
Sample size = n = 55
= 8
Standard error =
Let N be the population size ,
If n/N > 0.05 , then we need finite population correction factor.
PFC =
In this case ,
Standard error = *
Question 8)
N is infinite.
PFC not needed.
So ,
Standard error = = 8/55 = 1.08
Standard error is
1.08
Question 9)
N = 50000
n/N = 55/50000 = 0.0011 < 0.05
PFC not needed.
So ,
Standard error = = 8/55 = 1.08
Standard error is
1.08
Question 10)
N = 5000
n/N = 55/5000 = 0.011 < 0.05
PFC not needed.
So ,
Standard error = = 8/55 = 1.08
Standard error is
1.08
Question 11)
N = 500
n/N = 55/500= 0.11 > 0.05
PFC needed.
PFC =
=
= 0.94434292877
Standard Error = [/n ] * PFC = [8/55]* 0.94434292877= 1.02
Standard error is
1.02
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