An instructor implements a new teaching strategy in the classroom by using a teaching strategy to teach a sample of six students. After the instruction, he gives each student a test out of 100 possible points to test their recall. The scores are listed in the table.
Score on the Exam
65
73
77
70
68
67
(a) Find the confidence limits at a 90% CI for this one sample.
(b) If the mean grade in the entire class is m = 75 points, then did the new teaching strategy improve grades compared to the mean grade in the entire class (the population)?