In an effort to improve the vocabulary of 10 students, a teacher provides a weekly 1-hour tutoring session for them. A pre-test is given before the sessions and a post-test is given afterwards. The results are show in the table. at alpha .01, can the teacher conclude that the tutoring sessions helped improve the students' vocabularies?
Student 1 2 3 4 5 6 7 8 9 10
Before X1 83 76 92 64 82 68 70 71 72 63
Before X2 88 82 100 72 81 75 79 68 81 70