Driver’s Education. In order to determine whether or not a driver’s education course improves the scores on a driving exam, a random sample of seven students was given the exam before and after taking the course. The results are shown below. Use α = .10. State the decision rule in terms of the critical value and how do you find mean D(difference).

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Driver’s Education. In order to determine whether or not a driver’s education course improves the scores on a driving exam, a random sample of seven students was given the exam before and after taking the course. The results are shown below.

Use α = .10. State the decision rule in terms of the critical value and how do you find mean D(difference).

**Student Performance Data**

The table below showcases the performance of seven students by comparing their scores before and after a certain educational intervention. The columns represent each student's identification number, their score after the intervention, and their score before the intervention.

| Student | Score After | Score Before |
|---------|-------------|--------------|
| 1       | 92          | 86           |
| 2       | 86          | 88           |
| 3       | 89          | 84           |
| 4       | 90          | 90           |
| 5       | 93          | 85           |
| 6       | 88          | 90           |
| 7       | 97          | 91           |

**Analysis of the Data:**

- **Score Improvement:** Most students demonstrated an increase in scores after the intervention. For example, Student 1 improved from 86 to 92, and Student 5 increased from 85 to 93.
- **Score Decline:** A few students experienced a decrease in their scores. Notably, Student 2's score decreased from 88 to 86, and Student 6's score reduced from 90 to 88.
- **Consistent Performance:** Student 4 maintained the same score of 90 before and after the intervention.

This data is relevant for analyzing the effectiveness of teaching methods and identifying areas for further improvement in educational strategies.
Transcribed Image Text:**Student Performance Data** The table below showcases the performance of seven students by comparing their scores before and after a certain educational intervention. The columns represent each student's identification number, their score after the intervention, and their score before the intervention. | Student | Score After | Score Before | |---------|-------------|--------------| | 1 | 92 | 86 | | 2 | 86 | 88 | | 3 | 89 | 84 | | 4 | 90 | 90 | | 5 | 93 | 85 | | 6 | 88 | 90 | | 7 | 97 | 91 | **Analysis of the Data:** - **Score Improvement:** Most students demonstrated an increase in scores after the intervention. For example, Student 1 improved from 86 to 92, and Student 5 increased from 85 to 93. - **Score Decline:** A few students experienced a decrease in their scores. Notably, Student 2's score decreased from 88 to 86, and Student 6's score reduced from 90 to 88. - **Consistent Performance:** Student 4 maintained the same score of 90 before and after the intervention. This data is relevant for analyzing the effectiveness of teaching methods and identifying areas for further improvement in educational strategies.
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