ing three independent ndom samples normally distribut populations with equal variances. The dependent variable is starting hourly wage, and the groups are the types of position (work study, co-op, internship). Software was used to conduct a one-way ANOVA to determine if the means are equal using a = 0.10. Summary Statistics: Mean Standard Deviation Sample Size Work Study 12.854 14.51 15.424 Co-op Internship 132.542 48 Work Study vs. Co-op 0.5487 Work Study vs. Internship 1.8888 Co-op vs. Internship 0.449 ANOVA Table: Source SS df MS F P-value Between 44.4586 2 22.2293 11.6086 8.3E-5 Within 88.0834 46 1.9149 Total 15 24 Perform a Bonferroni test to see which means are significantly different. Round your answers to three decimal places, and round any interim calculations to four decimal places. Test Statistic Adjusted P-value Statistically significant difference? 10 Yes Yes No ✓

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### Analysis of Starting Hourly Wages by Group Type Using ANOVA

This page provides an analysis of starting hourly wages across three different group types: Work Study, Co-op, and Internship. A one-way ANOVA was used to determine if there were significant differences between the means of these groups, with a significance level (α) of 0.10.

#### Summary Statistics

| Group Type    | Mean  | Standard Deviation | Sample Size |
|---------------|-------|--------------------|-------------|
| Work Study    | 12.854| 0.5487             | 15          |
| Co-op         | 14.510| 1.8888             | 24          |
| Internship    | 15.424| 0.449              | 10          |

#### ANOVA Table

The ANOVA table below summarizes the results:

| Source   | SS (Sum of Squares) | df (Degrees of Freedom) | MS (Mean Square) | F       | P-value   |
|----------|---------------------|------------------------|------------------|---------|----------|
| Between  | 44.4586             | 2                      | 22.2293          | 11.6086 | 8.3E-5   |
| Within   | 88.0834             | 46                     | 1.9149           |         |          |
| Total    | 132.542             | 48                     |                  |         |          |

The ANOVA results indicate a statistically significant difference in means (P-value < α = 0.10).

#### Bonferroni Test for Pairwise Comparisons

To identify which specific group means are significantly different, a Bonferroni test was conducted with paired comparisons:

| Comparison             | Statistically Significant Difference? |
|------------------------|---------------------------------------|
| Work Study vs. Co-op   | Yes                                   |
| Work Study vs. Internship | Yes                                |
| Co-op vs. Internship   | No                                    |

These results show that there are significant differences in the means between Work Study vs. Co-op and Work Study vs. Internship, but not between Co-op and Internship. This suggests that the type of position may influence starting hourly wages.
Transcribed Image Text:### Analysis of Starting Hourly Wages by Group Type Using ANOVA This page provides an analysis of starting hourly wages across three different group types: Work Study, Co-op, and Internship. A one-way ANOVA was used to determine if there were significant differences between the means of these groups, with a significance level (α) of 0.10. #### Summary Statistics | Group Type | Mean | Standard Deviation | Sample Size | |---------------|-------|--------------------|-------------| | Work Study | 12.854| 0.5487 | 15 | | Co-op | 14.510| 1.8888 | 24 | | Internship | 15.424| 0.449 | 10 | #### ANOVA Table The ANOVA table below summarizes the results: | Source | SS (Sum of Squares) | df (Degrees of Freedom) | MS (Mean Square) | F | P-value | |----------|---------------------|------------------------|------------------|---------|----------| | Between | 44.4586 | 2 | 22.2293 | 11.6086 | 8.3E-5 | | Within | 88.0834 | 46 | 1.9149 | | | | Total | 132.542 | 48 | | | | The ANOVA results indicate a statistically significant difference in means (P-value < α = 0.10). #### Bonferroni Test for Pairwise Comparisons To identify which specific group means are significantly different, a Bonferroni test was conducted with paired comparisons: | Comparison | Statistically Significant Difference? | |------------------------|---------------------------------------| | Work Study vs. Co-op | Yes | | Work Study vs. Internship | Yes | | Co-op vs. Internship | No | These results show that there are significant differences in the means between Work Study vs. Co-op and Work Study vs. Internship, but not between Co-op and Internship. This suggests that the type of position may influence starting hourly wages.
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