Students enrolled in introductory statistics course at a university were asked to take the survey that indicated whether the student's learning style was more visual or verbal. Each and every student received numerical score ranging from -11 to +11. Negative scores indicated the visual learner, and positive scores indicated verbal learner. The closer the score was to -11 or +11, the stronger the student's inclination toward that learning style. A score of 0 would indicate neutrality between visual or verbal learning. For the 39 students who took the survey, the mean score was -2.744, and the standard deviation was 4.988.
1. Determine the p-value of the test as accurately as possible.
2. Summarize the conclusion that you would draw from this test.
3. Comment on whether the technical conditions of this t-test are satisfied.