MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Bartleby Related Questions Icon

Related questions

Question
**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.
expand button
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.
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman