6. A statistics tutor wants to assess whether her remedial tutoring has been effective for her 10 students. Using a pre-post design, she records the grades for a group of students prior to and after receiving her tutoring. The grades recorded are given in the table. i. ii. iii. Before 3.9 3.1 2.7 2.4 4.3 4.4 1.1 1.9 2.8 2.9 Using SPSS, test whether or not her tutoring is effective at a .05 level of significance. State the value of the test statistic and the decision to retain or reject the null hypothesis. Compute effect size using estimated Cohen's d. Scores After 2.2 4.8 3.9 2.9 3.8 4 2.7 2.2 3.9 1.5

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**Study on Effectiveness of Remedial Tutoring**

A statistics tutor aims to evaluate the effectiveness of her remedial tutoring for 10 students. The assessment employs a pre-post design, recording grades before and after the tutoring sessions. The table below presents the students' scores:

---

**Tasks:**

i. **Hypothesis Testing Using SPSS:**  
   Conduct a statistical test to determine the effectiveness of the tutoring at a 0.05 significance level.

ii. **Test Statistic Value & Conclusion:**  
   Report the value of the test statistic and conclude whether the null hypothesis is retained or rejected.

iii. **Effect Size Calculation:**  
   Compute the effect size using estimated Cohen’s d.

---

**Scores:**

| Before | After |
|--------|-------|
| 3.9    | 2.2   |
| 3.1    | 4.8   |
| 2.7    | 3.9   |
| 2.4    | 2.9   |
| 4.3    | 3.8   |
| 4.4    | 4.4   |
| 1.1    | 2.7   |
| 1.9    | 2.2   |
| 2.8    | 3.9   |
| 2.9    | 1.5   |

---

Utilize this data in SPSS to perform the analysis and interpret the results to understand the impact of tutoring.
Transcribed Image Text:**Study on Effectiveness of Remedial Tutoring** A statistics tutor aims to evaluate the effectiveness of her remedial tutoring for 10 students. The assessment employs a pre-post design, recording grades before and after the tutoring sessions. The table below presents the students' scores: --- **Tasks:** i. **Hypothesis Testing Using SPSS:** Conduct a statistical test to determine the effectiveness of the tutoring at a 0.05 significance level. ii. **Test Statistic Value & Conclusion:** Report the value of the test statistic and conclude whether the null hypothesis is retained or rejected. iii. **Effect Size Calculation:** Compute the effect size using estimated Cohen’s d. --- **Scores:** | Before | After | |--------|-------| | 3.9 | 2.2 | | 3.1 | 4.8 | | 2.7 | 3.9 | | 2.4 | 2.9 | | 4.3 | 3.8 | | 4.4 | 4.4 | | 1.1 | 2.7 | | 1.9 | 2.2 | | 2.8 | 3.9 | | 2.9 | 1.5 | --- Utilize this data in SPSS to perform the analysis and interpret the results to understand the impact of tutoring.
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