In: Statistics and Probability
The data file ExamScores shows the 40 students
in a TOM 3010 course exam scores for the Midterm and Final exam. Is
there statistically significant evidence to show that students
score lower on their final exam than midterm exam? Provide the
p-value for this analysis.
Student ID # | Midterm | Final |
56065 | 97 | 64 |
79499 | 95 | 85 |
59716 | 89 | 72 |
83504 | 79 | 64 |
77735 | 78 | 74 |
57760 | 87 | 93 |
78204 | 83 | 70 |
81177 | 94 | 79 |
54398 | 76 | 79 |
79829 | 79 | 75 |
62759 | 83 | 66 |
60967 | 84 | 83 |
82719 | 76 | 74 |
59420 | 82 | 70 |
69717 | 85 | 82 |
67553 | 85 | 82 |
67762 | 91 | 75 |
60851 | 72 | 78 |
81587 | 86 | 99 |
82947 | 70 | 57 |
62831 | 91 | 91 |
79864 | 82 | 78 |
67627 | 73 | 87 |
70270 | 96 | 93 |
54637 | 64 | 89 |
65582 | 74 | 81 |
64976 | 88 | 84 |
66027 | 88 | 63 |
77528 | 60 | 78 |
68129 | 73 | 66 |
56098 | 83 | 84 |
75695 | 85 | 85 |
66311 | 82 | 85 |
72678 | 79 | 84 |
80248 | 75 | 59 |
63594 | 82 | 62 |
53448 | 88 | 91 |
53454 | 86 | 83 |
59507 | 83 | 80 |
57192 | 70 | 76 |
I had done this using MINITAB 18 statistical software as follows-
MINITAB-stat-basic stat-two sample t test-give appropriate input-OK
As shown below,
It gives p-value =0.034 which is less than level of significance (0.05). Thus, we reject H0. There is significant evidence to show that student score lower on their final exam than midterm exam.