
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:**Title: Analyzing Exam Performance in Different Settings**
**Introduction to the Study:**
The study aims to determine if students perform differently on exams taken in solitude versus in a classroom setting. Eight students were administered two tests of similar difficulty: one taken alone and the other in a classroom with peers. Their scores are as follows:
**Exam Scores Table:**
- **Alone**: 75, 81, 78, 80, 74, 84, 84, 89
- **Classroom**: 82, 83, 84, 77, 84, 91, 93, 99
**Hypothesis Testing Framework:**
- **Assumption**: Normal distribution.
- **Significance Level**: α = 0.10
**Steps in Statistical Analysis:**
1. **Hypotheses Formulation:**
- **Null Hypothesis (H₀):** Population mean test score is the same in both settings.
- **Alternative Hypothesis (H₁):** Population mean test score differs between settings.
2. **Test Selection:**
- A suitable statistical test needs to be chosen for this comparative analysis.
3. **Calculation Requirements:**
- **Test Statistic**: To be calculated (enter answer to 3 decimal places).
- **P-value**: To be calculated (enter answer to 4 decimal places).
4. **Decision Criteria:**
- Compare p-value with α (0.10) to determine statistical significance.
5. **Conclusion Determination:**
- Decide to accept or reject the null hypothesis based on test results.
6. **Final Conclusion Options:**
- **Option 1**: Results are statistically significant, suggesting a difference in performance settings.
- **Option 2**: Results are not statistically significant, suggesting no difference.
- **Option 3**: Results indicate no difference in average scores for the students.
- **Option 4**: Results not statistically significant, suggesting equality in performance.
This study aims to provide insights on whether exam environments impact student performance and guide instructional strategies accordingly.
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