1. Why is rejection of the null hypothesis using a t test a more specific statement than rejection of the null hypothesis using the appropriate distribution-free test?
2. Three rival professors teaching English 1 all claim the honor of having the best students. To settle the issue, eight students are randomly drawn from each class and given the same exam. The exams are graded by a neutral professor who does not know from which class the students came. The data are shown.
|
Professor Li
|
Professor Kessler
|
Professor Bright
|
|
82
|
55
|
65
|
|
71
|
88
|
54
|
|
56
|
85
|
66
|
|
58
|
83
|
68
|
|
63
|
71
|
72
|
|
64
|
70
|
78
|
|
62
|
68
|
65
|
|
53
|
72
|
73
|
Run the appropriate test and draw the appropriate conclusions.