Question

A local chess club claims that the length of time to play a game has a meanmean of less than 35 minutesless than 35 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 meanmean of the length of time to play a game is less than or equal to 3535 ​minutes, but you reject the null​ hypothesis, Upper H 0 : mu less than or equals 35H0: μ≤35 . A type II error will occur if the actual meanmean of the length of time to play a game is greater than 3535 ​minutes, but you fail to reject the null​ hypothesis, Upper H 0 : mu less than or equals 35H0: μ≤35 .

Answer 1

Type I error is the rejection of a true null hypothesis

so, type I error is when actual mean of the length of time to play a game is less than or equal to 35 ​minutes, but you reject the null​ hypothesis,

(your statement is correct)

Type II error is the failure to reject the false null hypothesis

this means when the mean is greater than 35, but we failed to reject the null hypothesis that the mean is 35 or less

A type II error will occur if the actual mean of the length of time to play a game is greater than 35 ​minutes, but you fail to reject the null​ hypothesis,

(your statement is correct)