**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.

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

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