A stockbroker, who works for an online e-trading platform, wants to determine whether taking an investing course will help customers choose investments that result infewer fees. The broker randomly selects6 customers who have investments through the online e-trading platform. The amount of annual fees (percent per thousand dollars of investment) is measured before taking the investment course and then three years after completing the course. The results are shown in the table below:

Note:d=(annual fees before the courseannual fees after the course)

Annual fees before taking the course Annual fees after taking the course

6.8 4.3

7.6 8.9

6.5 9.3

9.8 7.3

9.2 3.4

9.6 9.9

Assume that both of the populations are normally distributed. Is there sufficient evidence at=0.01 to show that annual fees are lower after taking an investment course? Find the test statistic,

.Round your answer to the nearest hundredth.