The following three independent random samples are obtained fromthree normally distributed populations with equal variances. Thedependent variable is starting hourly wage, and the groups are thetypes of position (internship, co-op, work study). Round answers to4 decimal places.
| Internship | Co-op | Work Study |
|---|
| 11.25 | 11 | 10.5 |
| 12.5 | 11.75 | 14.75 |
| 10.75 | 14 | 10.5 |
| 11.5 | 9.5 | 9.5 |
| 12.5 | 13.5 | 11 |
| 11.75 | 10.75 | 13.25 |
| 11.75 | 14.25 | 10.5 |
| 14.25 | 10.75 | 12.5 |
| 12.5 | 12.75 | 12.25 |
| 11.5 | 11.25 | 9.5 |
| 12 | 12.25 | 11.75 |
| 10.5 | 12 | 10 |
| 10.75 | 12 | 11.5 |
| 10.5 | 12.25 | 10.25 |
| 12.5 | 13.25 | 11.25 |
| 12.5 | 12.25 | 10.25 |
| 11.5 | 13.5 | 11 |
| 10 | 13.25 | 12.5 |
Use Excel to conduct a single-factor ANOVA to determine if thegroup means are equal using α=0.02α=0.02. Â
Group means:
Internship: Â Â
Co-op: Â Â
Work Study: Â Â
Fill in the summary table for the ANOVA test:
From this table, obtain the necessary statistics for theANOVA:
ANOVA summary statistics:
Test Statistic =
p-value =
Conclusion: Select an answer The evidence suggests that the averagestarting hourly wages are different. There is not sufficientevidence to conclude the starting wages are different for thedifferent groups.
