A course aimed at improving an understanding of good nutrition is attended by 28 students. Before the course began, students took a test on nutrition and got the following scores:
72,60,56,41,32,30,39,42,37,33,32,63,54,47,91,
56,79,81,78,46,39,32,60,35,39,50,43,48.
After the course was completed, they were tested again yielding the scores
66,53,57,29,32,35,39,43,40,29,30,45,46,51,79,
68,65,80,55,38,35,30,50,37,36,34,37,54.
Test the hypothesis that the means of the before scores are equal to the means after training using α = .05. Also compute a .95 confidence interval.