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Two Independent Samples of Sizes 40 and 50 Are Randomly μ1μ2\mu _ { 1 } - \mu _ { 2 }

Question 129

Multiple Choice

Two independent samples of sizes 40 and 50 are randomly selected from two populations to test the difference between the population means μ1μ2\mu _ { 1 } - \mu _ { 2 } . Assume the population variances are known. The sampling distribution of the sample mean difference xˉ1xˉ2\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.

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