# Question

For each of the following, calculate the pooled variance 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 has n = 6 scores and a variance of s2 = 63.

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 = 252.

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

a. The first sample has n = 4 scores and a variance of s2 = 55, and the second sample has n = 6 scores and a variance of s2 = 63.

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 = 252.

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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