Question: #22. A study considers whether the mean score on a college entrance exam for students in 1996 is any different from the mean score of 500 students who took the same exam in 1995. Let \(\mu \) be the mean score for all student who took the exam in 1996. Test \({{H}_{0}}:\mu =500\) against \({{H}_{A}}:\mu \ne 500\), if for a nationwide random sample of 10,000 students who the exam in 1996, \(\bar{Y}=497\) and \(s=100\)