Question

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 of more than 0.65 knots is considered unsafe.

a) State the null and alternative hypotheses. Write '≤' as '<=' and '≥' as '>='.

b) In context, explain what the Type I error is.

c) In context, explain what the Type II error is.

d) Which error is worse for the swimmers, a Type I error or a Type II error? Why?

Answer 1