Let X1, ,Xn1 and Y1, ,Yn2 be two sets of independent, normally distributed random variables with means 1 and 2, and the common variance 2 Show that the two sample t test and the ANOVA are equivalent for testing H0 1 2 versus Ha 1 2

Question: Let X1, . . . ,Xn1 and Y1, . . . ,Yn2 be two sets of independent, normally distributed random variables with means 1 and

Let X1, . . . ,Xn1 and Y1, . . . ,Yn2 be two sets of independent, normally distributed random variables with means μ1 and μ2, and the common variance σ2. Show that the two-sample t-test and the ANOVA are equivalent for testing H0: μ1 = μ2 versus Ha: μ1 > μ2.

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