Question: A statistics professor would like to determine whether students in the class showed improved performance on the final exam as compared to the midterm examination. A random sample of 7 students selected form a large class revealed the following scores: Midterm 70, 62, 57, 68, 89, 63, 82 and on the final 80, 79, 87, 88, 85, 79, 91. Is there evidence of an improvement on the final examination, at the 1% significance level? ( Sate the hypothesis critical values (s), decision rule, test statistic, decision and conclusion)