In: Statistics and Probability
The following three independent random samples are obtained from three normally distributed populations with equal variances. The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study). Round answers to 4 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 the
group means are equal using α=0.02α=0.02.
Group means:
Internship:
Co-op:
Work Study:
Fill in the summary table for the ANOVA test:
SS | df | MS | |
Between | |||
Within | |||
Total |
From this table, obtain the necessary statistics for the ANOVA:
ANOVA summary statistics:
Test Statistic =
p-value =
Conclusion: Select an answer The evidence suggests that the average
starting hourly wages are different. There is not sufficient
evidence to conclude the starting wages are different for the
different groups.