For each of the following, assume that the two samples are obtained from populations with the same mean, and calculate how much difference should be expected, on average, between the two sample means....

For each of the following, assume that the two samples are obtained from populations with the same mean, and calculate how much difference should be expected, on average, between the two sample means.

a.       Each sample has n = 4 scores with s²
= 68 for the first sample and s²
= 76 for the second. (Note: Because the two samples are the same size, the pooled variance is equal to the average of the two sample variances.)

b.      Each sample has n = 16 scores with s²
= 68 for the first sample and s²
= 76 for the second.

c.       In Part b, the two samples are bigger than in Part a, but the variances are unchanged. How does sample size affect the size of the standard error for the sample mean difference?