12. For each of the following, calculate the pooled vari- ance and the estimated standard error for the sample mean difference. a. The first sample has n = 4 scores and a variance of s = 55, and the second sample has n = 6 %3D %3D %3D scores and a variance of s? = 63. b. Now the sample variances are increased so that the first sample has n = 220, and the second sample has n = 6 scores and a variance of s? 4 scores and a variance of %3D 252. %3D c. Comparing your answers for parts a and b, how does increased variance influence the size of the estimated standard error?

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Author:Amos Gilat
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12. For each of the following, calculate the pooled vari-
ance and the estimated standard error for the sample
mean difference.
a. The first sample has n = 4 scores and a variance
of s² = 55, and the second sample hasn = 6
%3D
%3D
%3D
scores and a variance of s² = 63.
%3D
b. Now the sample variances are increased so that
the first sample has n = 4 scores and a variance of
s2 = 220, and the second sample has n = 6 scores
and a variance of s2 =
%3D
%3D
252.
%3D
C. Comparing your answers for parts a and b, how
does increased variance influence the size of the
estimated standard error?
Transcribed Image Text:12. For each of the following, calculate the pooled vari- ance and the estimated standard error for the sample mean difference. a. The first sample has n = 4 scores and a variance of s² = 55, and the second sample hasn = 6 %3D %3D %3D scores and a variance of s² = 63. %3D b. Now the sample variances are increased so that the first sample has n = 4 scores and a variance of s2 = 220, and the second sample has n = 6 scores and a variance of s2 = %3D %3D 252. %3D C. Comparing your answers for parts a and b, how does increased variance influence the size of the estimated standard error?
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