Matched Pairs - Hypothesis Testing

You would like to conduct a hypothesis test to see if there is a difference between a Jackson Hewitt (JH) and H&R Block (HR) tax returns.We have randomly selected 15 tax returns and will have both JH and HR prepare them and see if there is a difference.Use the following information:

Tax Return Jackson Hewitt H&R BlockDifference

1 1,098 947 151

2 1,762 1,801 (39)

....................................

14 567 549 18

15 2,211 2,245 (34)

1,431.00 Average1,403.75

27.25 Average Difference45.10 Standard Deviationof the Differences

A.What is the test statistics value (correct number of decimal places depending on which test statistic)?

B.What is the probability of the test statistic for this specific problem? (take into consideration if this is 1-tail or 2-tail test)

C.What conclusion will you come to? Use a level of significance of .05.

D.Using the critical value approach at what critical value or values will you start rejecting the null hypothesis?