Physical Sciences
The annual Waikiki Roughwater Swim contest is held over a 2.4-mile course and ends near the Hilton Rainbow Tower. The 2013 winner was Rhys Mainstone in 48 minutes, 10 seconds. Before the race, a random sample of the current velocity (in knots) along the race course is obtained, and the resulting information is used to determine whether the race should be canceled. A mean current velocity, μ, of more than 0.65 knots is considered unsafe.
a. State the null and alternative hypotheses.
b. Describe type I and type II errors in this context.
c. Which error is more serious for the swimmers? Why?
d. Which error is more serious for the race organizers? Why?