For each of the following, calculate the pooled variance and the estimated standard error for the sample mean difference. The first sample has n = 4 scores and a variance of s² = 17, and the second sample hasn = 8 scores and a variance of s2 = 27. S(M1 - M2) = Now the sample variances are increased so that the first sample has n = 4 scores and a variance of s² = 68, and the second sample has n = 8 scores and a variance of s² = 108.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.1: Measures Of Center
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For each of the following, calculate the pooled variance and the estimated standard error for the sample mean
difference.
The first sample has n = 4 scores and a variance of s² = 17, and the second sample has n
8 scores and a variance
%3D
%3D
of s2 = 27.
S (M1 - M2)
Now the sample variances are increased so that the first sample has n = 4 scores and a variance of s2 = 68, and the
%3D
second sample has n = 8 scores and a variance of s2
= 108.
%3D
S(M1 - M2)
Comparing your answers for the preceding parts, how does increased variance influence the size of the estimated
standard error?
Increased variance
the estimated standard error.
Transcribed Image Text:For each of the following, calculate the pooled variance and the estimated standard error for the sample mean difference. The first sample has n = 4 scores and a variance of s² = 17, and the second sample has n 8 scores and a variance %3D %3D of s2 = 27. S (M1 - M2) Now the sample variances are increased so that the first sample has n = 4 scores and a variance of s2 = 68, and the %3D second sample has n = 8 scores and a variance of s2 = 108. %3D S(M1 - M2) Comparing your answers for the preceding parts, how does increased variance influence the size of the estimated standard error? Increased variance the estimated standard error.
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