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 13 11 15 13.75 13.5 16 8.5 12.75 11 13.5 13.5 15.25 15 13.25 16.25 12.5 14.75 15.5 14.75 13.75 15 13.75 13 15 Use your statistical software package to conduct a one-factor ANOVA to determine if the group means are equal using α=0.01. 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=_________ (report accurate to 4 decimal places)
The following three independent random samples are obtained from three
| Group 1: Internship | Group 2: Co-op | Group 3: Work Study |
|---|---|---|
| 13 | 11 | 15 |
| 13.75 | 13.5 | 16 |
| 8.5 | 12.75 | 11 |
| 13.5 | 13.5 | 15.25 |
| 15 | 13.25 | 16.25 |
| 12.5 | 14.75 | 15.5 |
| 14.75 | 13.75 | 15 |
| 13.75 | 13 | 15 |
Use your statistical software package to conduct a one-factor ANOVA to determine if the group means are equal using α=0.01. 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=_________
(report accurate to 4 decimal places)
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