In problem 8-57, assume that the data points are paired as listed and that each pair represents performance of the two boats at a single trial. Conduct the test, using this assumption. What is the advantage of testing using the paired data versus independent samples?

In problem Two 12-meter boats, the K boat and the L boat, are tested as possible contenders in the America's Cup races. The following data represent the time, in minutes, to complete a particular track in independent random trials of the two boats:

K boat: 12.0, 13.1, 11.8, 12.6, 14.0, 11.8, 12.7, 13.5, 12.4, 12.2, 11.6, 12.9

L boat: 11.8, 12.1, 12.0, 11.6, 11.8, 12.0, 11.9, 12.6, 11.4, 12.0, 12.2, 11.7