(a) Suppose H 0 X Y is to be tested against H 1 X Y The two sample sizes are 6 and 11 If s p 15 3, what is the smallest value for x y that will result in H 0 being rejected at the 0 01 level of significance (b) What is the smallest value for x y that will lead to the rejection of H 0 X Y in favor of H 1 X Y if 0 05, s P 214 9, n 13, and m 8

Question: (a) Suppose H 0 : X = Y is to be tested against H 1 : X Y . The

(a) Suppose H₀: μ_X = μ_Y is to be tested against H₁: μ_X ≠ μ_Y. The two sample sizes are 6 and 11. If s_p = 15.3, what is the smallest value for | x̅ − y̅| that will result in H₀ being rejected at the α =0.01 level of significance?

(b) What is the smallest value for x̅ − y̅ that will lead to the rejection of H₀: μ_X = μ_Y in favor of H₁: μ_X > μ_Y if α = 0.05, s_P = 214.9, n =13, and m =8?

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