Let X and Y denote the tarsus lengths of male and female grackles, respectively Assume that X is N(X, 2x) and Y is N(Y, 2Y) Given that n 25, x 33 80, s2 x 4 88, m 29, y 31 66, and s2y 5 81, test the null hypothesis H0 X Y against H1 X Y with 0 01 ...

Let X and Y denote the tarsus lengths of male and female grackles, respectively. Assume that X

Question:

Let X and Y denote the tarsus lengths of male and female grackles, respectively. Assume that X is N(μX, σ2x) and Y is N(μY, σ2Y). Given that n = 25, x = 33.80, s2 x = 4.88, m = 29, y = 31.66, and s2y = 5.81, test the null hypothesis H0: μX = μY against H1: μX > μY with α = 0.01.