Paired Samples Statistics Std. Error Mean N Std. Deviation Mean Pair 1 Beginning of Semester 73.75 12 21.996 6.350 End of Semester 81.92 12 18.273 5.275 Paired Samples Correlations Significance N Correlation One-Sided p Two-Sided p Pair 1 Beginning of Semester & 12 .892 <.001 <.001 End of Semester Paired Samples Test Paired Differences Significance 95% Confidence Interval of the Difference Std. Error Mean Std. Deviation Mean Lower Upper df One-Sided p Two-Sided p Beginning of Semester - End of Semester Pair 1 -8.167 10.035 2.897 -14.542 -1.791 -2.819 11 .008 .017 Paired Samples Effect Sizes 95% Confidence Interval Point Standardizer Estimate Lower Upper Pair 1 Beginning of Semester- Cohen's d 10.035 -.814 -1.458 -.142 End of Semester Hedges' correction 10.394 -.786 -1.408 -.137
Paired Samples Statistics Std. Error Mean N Std. Deviation Mean Pair 1 Beginning of Semester 73.75 12 21.996 6.350 End of Semester 81.92 12 18.273 5.275 Paired Samples Correlations Significance N Correlation One-Sided p Two-Sided p Pair 1 Beginning of Semester & 12 .892 <.001 <.001 End of Semester Paired Samples Test Paired Differences Significance 95% Confidence Interval of the Difference Std. Error Mean Std. Deviation Mean Lower Upper df One-Sided p Two-Sided p Beginning of Semester - End of Semester Pair 1 -8.167 10.035 2.897 -14.542 -1.791 -2.819 11 .008 .017 Paired Samples Effect Sizes 95% Confidence Interval Point Standardizer Estimate Lower Upper Pair 1 Beginning of Semester- Cohen's d 10.035 -.814 -1.458 -.142 End of Semester Hedges' correction 10.394 -.786 -1.408 -.137
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Title: Reporting Research Results: Statistical Analysis**
**Question:** How would you report the results?
1. **Option A:**
- The derived t = 0.02 was not significant at p = .05 with df = 10.
- Conclusion: \( H_0 \) was not rejected. The mean pretest score (18.27) was not different from the mean posttest score (22.00) at the semester's end.
- \( t(10) = 0.02, p < .01 \).
- Result: The curriculum was not effective in promoting learning.
2. **Option B:**
- The derived t = 10.03 was significant at p = .05 with df = 10.
- Conclusion: \( H_0 \) was rejected. The mean posttest score (22.00) was significantly lower than the mean pretest score (81.92).
- \( t(10) = 10.03, p < .01 \).
- Result: The curriculum was not effective in promoting learning.
3. **Option C:**
- The derived t = 2.82 was significant at p = .05 with df = 12.
- Conclusion: \( H_0 \) was rejected. The mean pretest score (18.27) was significantly lower than the mean posttest score (73.75).
- \( t(12) = -2.82, p < .05 \).
- Result: The curriculum was effective in promoting learning.
4. **Option D:**
- The derived t = -2.82 was significant at p = .05 with df = 11.
- Conclusion: \( H_0 \) was rejected. The mean pretest score (73.75) was significantly lower than the mean posttest score (81.92).
- \( t(11) = -2.82, p = .02 \).
- Result: The curriculum was effective in promoting learning.
5. **Option E:**
- The derived t = -8.17 was not significant at p = .05 with df = 9.
- Conclusion: \( H_0 \) was not rejected. The mean pretest score (73.75) was the same as the mean posttest score (81.92).
- \( t(9) = -](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b327817-1045-4602-b761-60f16d91c9e8%2Fe9ed7660-69b6-41b6-b09a-73fce6b29351%2Fvdgmq15_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Reporting Research Results: Statistical Analysis**
**Question:** How would you report the results?
1. **Option A:**
- The derived t = 0.02 was not significant at p = .05 with df = 10.
- Conclusion: \( H_0 \) was not rejected. The mean pretest score (18.27) was not different from the mean posttest score (22.00) at the semester's end.
- \( t(10) = 0.02, p < .01 \).
- Result: The curriculum was not effective in promoting learning.
2. **Option B:**
- The derived t = 10.03 was significant at p = .05 with df = 10.
- Conclusion: \( H_0 \) was rejected. The mean posttest score (22.00) was significantly lower than the mean pretest score (81.92).
- \( t(10) = 10.03, p < .01 \).
- Result: The curriculum was not effective in promoting learning.
3. **Option C:**
- The derived t = 2.82 was significant at p = .05 with df = 12.
- Conclusion: \( H_0 \) was rejected. The mean pretest score (18.27) was significantly lower than the mean posttest score (73.75).
- \( t(12) = -2.82, p < .05 \).
- Result: The curriculum was effective in promoting learning.
4. **Option D:**
- The derived t = -2.82 was significant at p = .05 with df = 11.
- Conclusion: \( H_0 \) was rejected. The mean pretest score (73.75) was significantly lower than the mean posttest score (81.92).
- \( t(11) = -2.82, p = .02 \).
- Result: The curriculum was effective in promoting learning.
5. **Option E:**
- The derived t = -8.17 was not significant at p = .05 with df = 9.
- Conclusion: \( H_0 \) was not rejected. The mean pretest score (73.75) was the same as the mean posttest score (81.92).
- \( t(9) = -
![The image presents a statistical analysis of paired samples, comparing the results from the beginning and end of a semester. Here's a detailed breakdown:
### Paired Samples Statistics
- **Pair 1: Beginning of Semester vs. End of Semester**
- **Mean:**
- Beginning: 73.75
- End: 81.92
- **N (Sample Size):** 12 for both beginning and end.
- **Standard Deviation:**
- Beginning: 21.996
- End: 18.273
- **Standard Error Mean:**
- Beginning: 6.350
- End: 5.275
### Paired Samples Correlations
- **Pair 1: Beginning of Semester & End of Semester**
- **N:** 12
- **Correlation:** 0.892
- **Significance:**
- **One-Sided p:** < 0.001
- **Two-Sided p:** < 0.001
### Paired Samples Test
- **Pair 1: Beginning of Semester - End of Semester**
- **Paired Differences:**
- **Mean Difference:** -8.167
- **Standard Deviation:** 10.035
- **Standard Error Mean:** 2.897
- **95% Confidence Interval of the Difference:**
- Lower: -14.542
- Upper: -1.791
- **t Value:** -2.819
- **Degrees of Freedom (df):** 11
- **Significance:**
- **One-Sided p:** 0.008
- **Two-Sided p:** 0.017
### Paired Samples Effect Sizes
- **Pair 1: Beginning of Semester - End of Semester**
- **Cohen's d:**
- **Standardizer:** 10.035
- **Point Estimate:** -0.814
- **95% Confidence Interval:**
- Lower: -1.458
- Upper: -0.142
- **Hedges' Correction:**
- **Standardizer:** 10.394
- **Point Estimate:** -0.786
- **95% Confidence Interval:**
- Lower: -1.408
- Upper: -0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b327817-1045-4602-b761-60f16d91c9e8%2Fe9ed7660-69b6-41b6-b09a-73fce6b29351%2Fsiskwn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image presents a statistical analysis of paired samples, comparing the results from the beginning and end of a semester. Here's a detailed breakdown:
### Paired Samples Statistics
- **Pair 1: Beginning of Semester vs. End of Semester**
- **Mean:**
- Beginning: 73.75
- End: 81.92
- **N (Sample Size):** 12 for both beginning and end.
- **Standard Deviation:**
- Beginning: 21.996
- End: 18.273
- **Standard Error Mean:**
- Beginning: 6.350
- End: 5.275
### Paired Samples Correlations
- **Pair 1: Beginning of Semester & End of Semester**
- **N:** 12
- **Correlation:** 0.892
- **Significance:**
- **One-Sided p:** < 0.001
- **Two-Sided p:** < 0.001
### Paired Samples Test
- **Pair 1: Beginning of Semester - End of Semester**
- **Paired Differences:**
- **Mean Difference:** -8.167
- **Standard Deviation:** 10.035
- **Standard Error Mean:** 2.897
- **95% Confidence Interval of the Difference:**
- Lower: -14.542
- Upper: -1.791
- **t Value:** -2.819
- **Degrees of Freedom (df):** 11
- **Significance:**
- **One-Sided p:** 0.008
- **Two-Sided p:** 0.017
### Paired Samples Effect Sizes
- **Pair 1: Beginning of Semester - End of Semester**
- **Cohen's d:**
- **Standardizer:** 10.035
- **Point Estimate:** -0.814
- **95% Confidence Interval:**
- Lower: -1.458
- Upper: -0.142
- **Hedges' Correction:**
- **Standardizer:** 10.394
- **Point Estimate:** -0.786
- **95% Confidence Interval:**
- Lower: -1.408
- Upper: -0.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
In the given problem we have given that the paired analysis data, i.e., Begining of semester score and end of semester score. Also, we have given that the summary table of Paired T-Test.
Here we have to report the results.
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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