# 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 of s2=27. 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. Comparing your answers for Parts a and b, how does increased variance influence the size of the estimated standard error?

Question

For each of the following, calculate the pooled variance and the estimated standard error for the sample mean difference

1. The first sample has n=4 scores and a variance of s2=17, and the second sample has n=8 scores and a variance of s2=27.

2. 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.

3. Comparing your answers for Parts a and b, how does increased variance influence the size of the estimated standard error?

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Math
Statistics

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