A trainer has developed a training method that they believe could improve a person's performance in a marathon.To test the training method's effects,she randomly selects61runners.First,theyall runa marathon using their typical training method,then6months laterthey all use the trainer's new method to train,and run the same marathon again.The trainer measures the time it takes each runner to complete the first marathon and the second marathon.She uses an alpha level of.01to test whether the runners' are faster using her method(hint:which means the runners times would havedecreasedin the second marathon/or time2)

Assume your calculated test (obtained) statistic value was -2.10. If you were conducting a hypothesis test on this scenario, Step 4 and 5 would look like:

a. Since tobt = -2.10 < tcrit = 2.390 then we would fail to reject the Null and conclude that the new method does not significantly reduce running times.

b. Since tobt = -2.10 > tcrit = -2.390 then we would fail to reject the Null and conclude that the new method does not significantly reduce running times.

c. Since |tobt = -2.10 | < |tcrit = 2.660| then we would fail to reject the Null and conclude that the new method does not significantly reduce running times.

d. Since tobt = -2.10 < tcrit = -1.671 then we would reject the Null and conclude that new method significantly reduces running times.