Students enrolled in an introductory statistics course at a university were asked to take a survey that indicated whether the student's learning style was more visual or verbal. Each student received a numerical score ranging from -11 to +11. Negative scores indicated a visual learner, and positive scores indicated a 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 36 students who took the survey, the mean score was -2.244, and the standard deviation was 4.788.

**1. **State the null and alternative hypotheses for testing whether the mean score (among all students at this university) differs from 0.

**Null Hypothesis: µ =0**

**Alternative Hypothesis: µ ≠ 0**

**2. **Calculate the value of the *t*-test statistic for the hypotheses stated in question 1.

**T= -2.244/(4.788/√36) = -2.812**

**3. **Determine the *p*-value of the test as accurately as possible.

**p-value = .0025**

**4. **Summarize the conclusion that you would draw from this test.

**5. **Comment on whether the technical conditions of this *t*-test are satisfied.

I am not sure on my answer for #3, or how to proceed on #4 and 5, please advise.

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