If Two Populations Are Normally Distributed,the Sampling Distribution of the Difference

question 137

Multiple Choice

If two populations are normally distributed,the sampling distribution of the difference in the sample means, $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ ,is:

• A) approximately normal for any sample sizes.
• B) approximately normal if both sample sizes are large.
• C) exactly normal only if both sample sizes are large.
• D) exactly normal for any sample sizes.

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