IQ:Scores on a certain IQ test are known to have a mean of100. A random sample of 41 students attend a series of coaching classes before taking the test.

Let be the population mean IQ score that would occur if every student took the coaching classes. The classes are successful if > 100. A test is made of the

hypotheses H0 : = 100 versusH1 : > 100. Consider three possible conclusions: (i) The classes are successful. (ii) The classes are not successful. (iii) The

classes might not be successful.

a) Assume that the classes are successful but the conclusion is reached that the classes might not be successful. Which type of error is this?

b) Assume that the classes are not successful. Is it possible to make a Type I error? Explain.