Assume that s1 2 = s2 2 = s2. Calculate the pooled estimator of s2 for each of the following cases:

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a. Si == 180, s = 200, n = n2 = 25 b. s=25, s = 40, n = 10, n = 20 c. s = .25, s.32, n = 8, n = 12 d. s = 2300, s = 2000, n = 15, n = 18 e. Note that the pooled estimate is a weighted average of the sample variances. To which of the variances does the pooled estimate fall nearer in each of cases a-d?