Scores on a certain IQ test are known to have a mean of 100. Arandom sample of 60 students attend a series of coaching classesbefore taking the test. Let m be the population mean IQ score thatwould occur if every student took the coaching classes. The classesare successful if m > 100. A test is made of the hypotheses H0:m = 100 vs H1: m > 100.
Consider three possible conclusions:
The classes are successful.
The classes are not successful.
The classes might not be successful.
Answer the following questions:
1.Which of the three conclusions is best if H0 is rejected?
2.Which of the three conclusions is best if H0 is notrejected?
3.Assume that the classes are successful but the conclusion isreached that the classes might not be successful. Which type oferror is this?
4.Assume that the classes are not successful. Is it possible tomake a Type I error? Explain.
5.Assume that the classes are not successful. Is it possible tomake a Type II error? Explain.
