Two Independent Samples of Sizes 40 and 50 Are Randomly $\mu _ { 1 } - \mu _ { 2 }$

Two independent samples of sizes 40 and 50 are randomly selected from two populations to test the difference between the population means $\mu _ { 1 } - \mu _ { 2 }$ . Assume the population variances are known. The sampling distribution of the sample mean difference $\bar { x } _ { 1 } - \bar { x } _ { 2 }$ is:

A) normally distributed.
B) approximately normal.
C) Student t-distributed with 88 degrees of freedom.
D) None of these choices.

Correct Answer:

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