Refer to Exercise 9.22. Explain what each of the following would mean.

a. Type I error 

b. Type II error 

c. Correct decision Now suppose that the results of carrying out the hypothesis test lead to nonrejection of the null hypothesis. Classify that conclusion by error type or as a correct decision if in fact the mean salary of classroom teachers in Ohio

d. equals the national mean of $55.4 thousand.

e. exceeds the national mean of $55.4 thousand.

Exercise 9.22

Data on salaries in the public school system are published annually in Ranking of the States and Estimates of School Statistics by the National Education Association. The mean annual salary of (public) classroom teachers is $55.4 thousand. A hypothesis test is to be performed to decide whether the mean annual salary of classroom teachers in Ohio is greater than the national mean.