A previous statistics class kept records of the number of hours they s final 20 point quiz. Here are the data collected. hours studied quiz score Y 8. 18 6. 14 13 7 15 4 10 Conduct a hypothesis test to investigate whether there is a significan using g= .10.

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### 9. Hypothesis Test on Study Hours and Quiz Scores

A previous statistics class kept records of the number of hours they studied and their score on the final 20-point quiz. Here are the data collected:

| Hours Studied (X) | Quiz Score (Y) |
|-------------------|---------------|
| 8                 | 18            |
| 6                 | 14            |
| 5                 | 13            |
| 7                 | 15            |
| 4                 | 10            |

Conduct a hypothesis test to investigate whether there is a significant relationship between X and Y, using α = 0.10.

#### Data Analysis Table

| Hours (X) | Score (Y) | \( (X - \bar{X}) \) | \( (Y - \bar{Y}) \) | \( (X - \bar{X})(Y - \bar{Y}) \) | \( (X - \bar{X})^2 \) | \( (Y - \bar{Y})^2 \) |
|-----------|-----------|-------------------|-------------------|---------------------------|-----------------|-----------------|
| 8.00      | 18.0      | 2.00              | 4.00              | 8.00                      | 4.00            | 16              |
| 6.00      | 14.0      | 0.00              | 0.00              | 0.00                      | 0.00            | 0               |
| 5.00      | 13.0      | -1.00             | -1.00             | 1.00                      | 1.00            | 1               |
| 7.00      | 15.0      | 1.00              | 1.00              | 1.00                      | 1.00            | 1               |
| 4.00      | 10.0      | -2.00             | -4.00             | 8.00                      | 4.00            | 16              |
| **Total** | **70.0**  |                   |                   | **18.00**                 | **10.00**       | **34.00**       |

#### Explanation

This table summarizes the analysis needed to conduct the hypothesis test. Here, we
Transcribed Image Text:### 9. Hypothesis Test on Study Hours and Quiz Scores A previous statistics class kept records of the number of hours they studied and their score on the final 20-point quiz. Here are the data collected: | Hours Studied (X) | Quiz Score (Y) | |-------------------|---------------| | 8 | 18 | | 6 | 14 | | 5 | 13 | | 7 | 15 | | 4 | 10 | Conduct a hypothesis test to investigate whether there is a significant relationship between X and Y, using α = 0.10. #### Data Analysis Table | Hours (X) | Score (Y) | \( (X - \bar{X}) \) | \( (Y - \bar{Y}) \) | \( (X - \bar{X})(Y - \bar{Y}) \) | \( (X - \bar{X})^2 \) | \( (Y - \bar{Y})^2 \) | |-----------|-----------|-------------------|-------------------|---------------------------|-----------------|-----------------| | 8.00 | 18.0 | 2.00 | 4.00 | 8.00 | 4.00 | 16 | | 6.00 | 14.0 | 0.00 | 0.00 | 0.00 | 0.00 | 0 | | 5.00 | 13.0 | -1.00 | -1.00 | 1.00 | 1.00 | 1 | | 7.00 | 15.0 | 1.00 | 1.00 | 1.00 | 1.00 | 1 | | 4.00 | 10.0 | -2.00 | -4.00 | 8.00 | 4.00 | 16 | | **Total** | **70.0** | | | **18.00** | **10.00** | **34.00** | #### Explanation This table summarizes the analysis needed to conduct the hypothesis test. Here, we
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