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= 17, and the second sample has n = 8 scores and a variance of s2= 27.
b. 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.
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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