Question

A local chess club claims that the length of time to play a game has a mean of more than 29 minutes. Write sentences describing type I and type II errors for a hypothesis test of this claim. A type I error will occur if the actual mean of the length of time to a play a game is ____ 29 minutes, but you ____ the null hypothesis, _____ A type II error will occur if the actual mean of the length of time to play a game is _____ 29 minutes, but you ____ the null hypothesis, _____

Answer 1

Ans:

A type I error will occur if the actual mean of the length of time to a play a game is less than or equal to 29 minutes, but you reject the null hypothesis, which is true.

A type II error will occur if the actual mean of the length of time to play a game is more than 29 minutes, but you fail to reject the null hypothesis, which is false.