In: Statistics and Probability
The following three independent random samples are obtained from
three normally distributed populations with equal variance. The
dependent variable is starting hourly wage, and the groups are the
types 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 in
SPSS.
Use SPSS (or another statistical software package) to conduct a
one-factor ANOVA to determine if the group means are equal using
α=0.05α=0.05. Though not specifically assessed here, you are
encouraged to also test the assumptions, plot the group means, and
interpret the 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 decimal places)
p=p= ____
(report accurate to 4 decimal places)
Conclusion: