Question

Suppose we have taken independent, random samples of sizes n₁ = 7 and n₂ = 7 from two normally distributed populations having means µ₁ and µ₂, and suppose we obtain x¯1  = 240 , x¯2  =  210 , s₁ = 5, s₂ = 6. Use critical values to test the null hypothesis H₀: µ₁ − µ₂ < 20 versus the alternative hypothesis H_a: µ₁ − µ₂ > 20 by setting α equal to .10, .05, .01 and .001. Using the equal variance procedure, how much evidence is there that the difference between µ₁ and µ₂ exceeds 20?

t= ______

______ H0 at a = 0.1, 0.05, and 0.01, __________ evidence

Answer 1