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.

InternshipCo-opWork Study
12.2512.7512
11.2511.510
1011.7513.25
1210.59.5
13.2512.7511
9.59.7513.25
13.511.759.75
13911
11.511.511.25
10.758.759.5
11.758.2510
11.259.2510
1210.2510
9.2511.2510.5
12.2513.2511
14.2510.258.25
8.510.511.5
10.7511.2510.25
11.2511.7510
12.510.2510.25
12.2510.513.5
1412.2512.75
1011.510

Use Excel to conduct a single-factor ANOVA to determine if the group means are equal using α=0.10\displaystyle \alpha={0.10}.  

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: