Suppose that the sample sizes, n1 and n2, are equal for independent simple random samples from two populations.

a. Show that the values of the pooled and nonpooled t-statistics will be identical. (Hint: Refer to Exercise 10.61 on page 479.)

b. Explain why part

(a) does not imply that the two t-tests are equivalent (i.e., will necessarily lead to the same conclusion) when the sample sizes are equal.