A study is conducted to estimate the average difference in the cost of analyzing data using two different statistical packages. To do so, 15 data sets are used. Each is analyzed by each package, and the cost of the analysis is recorded. These observation result :

Find the set of difference scores subtracting in the order package I minus package II. Find d and Sd. d is the sample mean for the differences.

Test if there is any difference between the costs of analyzing data using the two packages. Please write down the null and alternative hypotheses, the function you use, the p-value for the test and your conclusion at ?=0.05 level.

Program Package I $ .26 .24 .26 .22 .25 .23 .18 .25 1 2 3 4 5 6 7 8 Package II .29 .32 .24 .33 .28 .27 .25 .26 Program T.TE 9 810 11 12 13 14 15 Package I $ E.19 8.25 ASE.29 188 .25 .23 .20 .25 Package II $ 0.33 .33 .33 .28 .30 .24 .32