Scores on a certain IQ test are known to have a mean of 100 . A random sample of 60 students attend a series of coaching classes before taking the test. Let \(\mu\) be the population mean IQ score that would occur if every student took the coaching classes. The classes are successful if \(\mu>100\). A test is made of the hypotheses \(H_{0}: \mu \leq 100\) versus \(H_{1}: \mu>100\). Consider three possible conclusions: (i) The classes are successful. (ii) The classes are not successful. (iii) The classes might not be successful.

a. Which of the three conclusions is best if \(H_{0}\) is rejected?

b. Which of the three conclusions is best if \(H_{0}\) is not rejected?