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4. Assume that you have a sample of n1 = 7, with the sample mean XBar...

4. Assume that you have a sample of n1 = 7, with the sample mean XBar X1 = 44, and a sample standard deviation of S1 = 5, and you have an independent sample of n2 = 14 from another population with a sample mean XBar X2 = 36 and sample standard deviation S2 = 6.

  1. What is the value of the pooled-variance tSTAT test statistic for testing H0:µ1 = µ2?
  2. In finding the critical value ta/2, how many degrees of freedom are there?
  3. Using the level of significance α = 0.01, what is the critical value for a one-tail test of the hypothesis H0:µ1 ≤ µ2 against the alternative H1:µ1 > µ2?
  4. What is your statistical decision?
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