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 |
|---|
| 15 | 14.75 | 14.25 |
| 17.25 | 9.75 | 15.5 |
| 13 | 15.25 | 16.25 |
| 16.75 | 14 | 13.5 |
| 13 | 14.25 | 13.75 |
| 13 | 16 | 15.75 |
| 15.25 | 9.5 | 15.25 |
| 17.5 | 12 | 16.75 |
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 using?=0.05. Though not specifically assessed here, you are encouragedto also test the assumptions, plot the group means, and interpretthe results.
Group means (report to 2 decimal places):
Group 1: Internship:
Group 2: Co-op:
Group 3: Work Study:
ANOVA summary statistics:
F-ratio =
(report accurate to 3 decimalplaces)
p=
(report accurate to 4 decimalplaces)
Conclusion:
a.There is not sufficient data to conclude the starting wagesare different for the different groups.
b. The sample data suggest the average starting hourly wages arenot the same.
