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Given two samples X=(X1,...,Xn) and Y=(Y1,...,Yn) where Xi ~ N(mu_x, sigma_x^2) and Yi ~ N(mu_y, sigma_y^2). We want to to test H0: mu_x - mu_y
Given two samples X=(X1,...,Xn) and Y=(Y1,...,Yn) where Xi ~ N(mu_x, sigma_x^2) and Yi ~ N(mu_y, sigma_y^2).
We want to to test H0: mu_x - mu_y = 0 vs. H1: mu_x - mu_y != 0 and we happen to know that sigma_y^2 = sigma_x^2 = 1.
Derive the distribution of the statistic X_bar - Y_bar under H0.
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