6. One sample has 55 = 32 and a second sample has 55 = 48.

a. Calculate the variance for each sample and the pooled variance, assuming that n = 5 for both samples. You should find that the pooled variance is halfway between the two sample variances.

b. Now assume that the first sample has n = 9 scores and the second has n = 4. Calculate the variance for each sample and the pooled variance. This time you should find that the pooled variance is closer to the value for the larger sample.