A statistics professor would like to determine whether students in the class showed improved performance on the final exam compared to the midterm examination. A random sample of 7 students selected from 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. We will test to determine if there is evidence of an improvement on the final examination, at the 1% significance level.

What is the alternate hypothesis?

What is the critical value?

What is your test statistic?

What is your conclusion?