Question

QUESTION 14

1. During the off-season (January – October), animal scientists at the North Pole train the reindeer to improve their take-off speed. During the most recent off-season, a new training device was used to improve the average time required for reindeer to sprint 200 yards. Each of the current reindeer was timed in the 200-yard dash before and after using the device. Using the data, the animal scientists wish to test the following hypotheses using a level of significance of 0.05.

   Note that mu1 denotes the average time required for an untrained reindeer to sprint 200 yards and mu2 denotes the average time required for a trained reindeer to sprint 200 yards. Suppose data (time before training, time after training) are collected from 9 different reindeer and the resulting test statistic is 1.5.

   Compute the P-value for this test.

Answer 1

Given that For group 1: n = 9. For group 2: n2 = 9. Test statistic = t = 1.5 Claim: Ho: M1 = H2,Ha:M1 > H2- . Now we have to find the p-value. Degrees of freedom df = (n1 - 1) + (n2 - 1) = 16 Using excel formula:=T.DIST.RT(1.5,16), we got p-value = 0.0765. :p - value = 0.0765

p-value = 0.0765