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I have a question.

In a two sample t test, a confidence interval for $\mu_2-\mu_1$ is constructed based on the hypothesis test $H_0: \mu = \mu_0$ versus $H_{a}: \mu \neq \mu_0$?

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Here is a recent discussion regarding one-sample test and CI: Hypothesis Tests and Confidence Intervals. – chl Jan 10 '13 at 20:56
You may also want to use assumptions about normal distributions and variances to construct your confidence interval – Henry Jan 10 '13 at 21:48

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