Question

We would like to conduct a hypothesis test at the 5% level of significance to determine
whether hockey players weigh more on average than baseball players. We record the
weights of a random sample of 12 professional hockey players and 7 professional baseball
players. Weights of athletes in both sports are known to follow normal distributions.
Some summary statistics are given below:
Sport n x s d
Baseball 7 187.571 7.72
Hockey 12 195.583 18.39
Based on the data, we would fail to reject the null hypothesis of the appropriate test of
significance, since
(A) t = 1.32 < t∗ = 1.943
(B) t = 1.09 < t∗ = 1.740
(C) t = 1.32 < t∗ = 1.645
(D) t = 1.09 < t∗ = 2.110
(E) t = 1.32 < t∗ = 2.447

Answer 1