The following three independent random samples are obtained fromthree normally distributed populations with equal variance. Thedependent variable is starting hourly wage, and the groups are thetypes of position (internship, co-op, work study).
| Group 1: Internship | Group 2: Co-op | Group 3: Work Study |
|---|
| 9 | 9 | 13.75 |
| 9.25 | 12.75 | 11.75 |
| 12 | 11.5 | 11.25 |
| 11.75 | 14.75 | 16.25 |
| 12.25 | 8.75 | 10 |
| 11.75 | 10.5 | 11.5 |
| 10 | 9.75 | 12.75 |
| 11.25 | 10.75 | 15.5 |
Do not forget to convert this table from parallel format(i.e., groups in each column) to serial format for analysis inSPSS.
Use SPSS (or another statistical software package) to conduct aone-factor ANOVA to determine if the group means are equal usingα=0.05α=0.05. Though not specifically assessed here, you areencouraged to also test the assumptions, plot the group means, andinterpret the results.
Group means (report to 2 decimal places):
Group 1: Internship: ____
Group 2: Co-op: ____Ă‚Â Ă‚Â
Group 3: Work Study: ____Ă‚Â Ă‚Â
ANOVA summary statistics:
F-ratio = ____
(report accurate to 3 decimal places)
p=p= ____
(report accurate to 4 decimal places)
Conclusion:
- A. The sample data suggest the average starting hourly wagesare not the same.
- B. There is not sufficient data to conclude the starting wagesare different for the different groups.
