oftware was used to conduct a one-way ANOVA to determine if the means are equal using a = 0.10. ummary Statistics: Mean Standard Deviation Sample Size Work Study 13.0633 Co-op 14.3633 Internship 15.231 0.5005 2.2051 0.6029 15 24 10

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**One-Way ANOVA Analysis Summary**

A software tool was used to perform a one-way ANOVA analysis to determine if there are significant differences in means with a significance level of \( \alpha = 0.10 \).

**Summary Statistics:**

|             | Mean    | Standard Deviation | Sample Size |
|-------------|---------|--------------------|-------------|
| Work Study  | 13.0633 | 0.5005             | 15          |
| Co-op       | 14.3633 | 2.2051             | 24          |
| Internship  | 15.231  | 0.6029             | 10          |

**ANOVA Table:**

| Source   | SS       | df | MS      | F      | P-value |
|----------|----------|----|---------|--------|---------|
| Between  | 30.4877  | 2  | 15.2439 | 5.9117 | 0.005189|
| Within   | 118.6151 | 46 | 2.5786  |        |         |
| Total    | 149.1028 | 48 |         |        |         |

The between-group variation is assessed using an ANOVA F-test, which shows a P-value of 0.005189, indicating a significant difference between the group means.

**Bonferroni Test:**

A Bonferroni test was conducted to determine which specific means are significantly different. Results of this post-hoc test follow, with a requirement to round to three decimal places.

| Comparison               | Test Statistic | Adjusted P-value | Statistically Significant Difference? |
|--------------------------|----------------|------------------|---------------------------------------|
| Work Study vs. Co-op     | -2.237         | 0.031            | Yes                                   |
| Work Study vs. Internship| 14.3633        | 0                | Yes                                   |
| Co-op vs. Internship     | 15.231         | 0.233            | No                                    |

**Hints for Bonferroni Test:**
- Retain the assumption of equal variances, as the test follows an ANOVA.
- Use Bonferroni’s adjustment to control the type I error rate.

The Bonferroni test results suggest statistically significant differences between "Work Study vs. Co-op" and "Work Study vs. Internship,"
Transcribed Image Text:**One-Way ANOVA Analysis Summary** A software tool was used to perform a one-way ANOVA analysis to determine if there are significant differences in means with a significance level of \( \alpha = 0.10 \). **Summary Statistics:** | | Mean | Standard Deviation | Sample Size | |-------------|---------|--------------------|-------------| | Work Study | 13.0633 | 0.5005 | 15 | | Co-op | 14.3633 | 2.2051 | 24 | | Internship | 15.231 | 0.6029 | 10 | **ANOVA Table:** | Source | SS | df | MS | F | P-value | |----------|----------|----|---------|--------|---------| | Between | 30.4877 | 2 | 15.2439 | 5.9117 | 0.005189| | Within | 118.6151 | 46 | 2.5786 | | | | Total | 149.1028 | 48 | | | | The between-group variation is assessed using an ANOVA F-test, which shows a P-value of 0.005189, indicating a significant difference between the group means. **Bonferroni Test:** A Bonferroni test was conducted to determine which specific means are significantly different. Results of this post-hoc test follow, with a requirement to round to three decimal places. | Comparison | Test Statistic | Adjusted P-value | Statistically Significant Difference? | |--------------------------|----------------|------------------|---------------------------------------| | Work Study vs. Co-op | -2.237 | 0.031 | Yes | | Work Study vs. Internship| 14.3633 | 0 | Yes | | Co-op vs. Internship | 15.231 | 0.233 | No | **Hints for Bonferroni Test:** - Retain the assumption of equal variances, as the test follows an ANOVA. - Use Bonferroni’s adjustment to control the type I error rate. The Bonferroni test results suggest statistically significant differences between "Work Study vs. Co-op" and "Work Study vs. Internship,"
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