Question 3. 30 points An analyst for Boston Common Apparel was asked to compare results from a recent marketing test from the latest catalog.

A.  Complete the following steps to conduct a hypothesis test that the average dollars paid for the two test executions are the same versus the alternative that the tests yield different results.

(i)        State the hypothesis (2 points)

Ho: 

H1: 

(ii)       Compute the test statistic  (5 points)

(iii)      Compute the p-value (8 points)

(iv)      What decision would you make at  = 0.01?  (3 points)

B.  Create a 95% Confidence interval for the difference in the mean dollars paid for

 (i)   Test 1 and the control panel.  (7 points)

 (ii)  Interpret fully the confidence interval you created in part B (i)  Remember that you need to clearly explain things for the marketing team   (5 points)