[6 marks] Let X and Y denote the tarsus lengths of male and female grackles, respectively. Assume that X is N (µx,o) and Y is 22, X = 31.41, S = 3.18, N(Hy, o;). Given that n = m = 27, Y = 29.56,...

This is a sample queation not a real exam please solve it I want to know the steps ..... the exam is not today!

Extracted text: [6 marks] Let X and Y denote the tarsus lengths of male and female grackles, respectively. Assume that X is N (µx,o) and Y is 22, X = 31.41, S = 3.18, N(Hy, o;). Given that n = m = 27, Y = 29.56, andS, = 3.85, test the null hypothesis Ho : µx = µy against Hj : Hx > Hy at the level of significance a = 0.01. m 3D Paragraph PR