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Suppose we have taken independent, random samples of sizes n1 = 8 and n2 = 8...

Suppose we have taken independent, random samples of sizes n1 = 8 and n2 = 8 from two normally distributed populations having means µ1 and µ2, and suppose we obtain x¯1  = 227, x¯2  =  190 , s1 = 6, s2 = 6. Use critical values to test the null hypothesis H0: µ1 − µ2 < 27 versus the alternative hypothesis Ha: µ1 − µ2 > 27 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 27? (Round your answer to 3 decimal places.) t = H0 at α = 0.1, 0.05, and, 0.01, evidence.

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