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Let X and Y denote the tarsus lengths of male

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.

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