Question: Suppose that you have obtained a 95% confidence interval for each of the two differences, 1 2 and 1 3. Can you be

Suppose that you have obtained a 95% confidence interval for each of the two differences, μ1 − μ2 and μ1 − μ3. Can you be 95% confident of both results simultaneously, that is, that both differences are contained in their corresponding confidence intervals? Explain your answer.

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