What Is The Pooled Estimate Of The Population Variance?
A sociologist interested in cultural differences compared women of two ethnic groups on a Role Approval Index . The results are as follows: Ethnic Group A: N = 15 M= 55 S2 = 6.5 Ethnic Group B : N = 23 M= 51 S2 = 4.5
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Pooled Estimate Of Population Variance =
sp^2 = ((n1-1)s1^2 +(n1-1)s2^2)/((n1-1)+(n2-1))
n1 = 15
n2= 23
(s1)^2 = 6.5
(s2)^2 = 4.5
sp^2 = ((15-1)6.5 +(23-1)4.5)/(14+22)
=((14x6.5)+(22x4.5))/36
=( 91+99 )/36
=190/36
=5.278
Pooled Estimate Of Population Variance=5.278
sp^2 = ((n1-1)s1^2 +(n1-1)s2^2)/((n1-1)+(n2-1))
n1 = 15
n2= 23
(s1)^2 = 6.5
(s2)^2 = 4.5
sp^2 = ((15-1)6.5 +(23-1)4.5)/(14+22)
=((14x6.5)+(22x4.5))/36
=( 91+99 )/36
=190/36
=5.278
Pooled Estimate Of Population Variance=5.278
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