To test whether students in a higher grade level will be less disruptive in class, a school psychologist records the number of documented interruptions during one day of classes from nine local high schools. The sample consisted of nine
(n = 9)
freshman, sophomore, junior, and senior high school classes. The data for each high school class are given in the table.
High School Class | |||
---|---|---|---|
Freshman | Sophomore | Junior | Senior |
0 | 4 | 3 | 2 |
5 | 0 | 3 | 3 |
4 | 1 | 4 | 5 |
1 | 4 | 0 | 0 |
1 | 2 | 6 | 4 |
3 | 5 | 0 | 4 |
2 | 2 | 5 | 4 |
2 | 0 | 6 | 3 |
4 | 3 | 4 | 2 |
(a) Complete the F-table. (Round your answers to two decimal places.)
Source of Variation |
SS | df | MS | F |
---|---|---|---|---|
Between groups |
||||
Within groups (error) |
||||
Total |
The statistical software output for this problem is:
Hence,
a) F table is:
Source | SS | DF | MS | F-Stat |
---|---|---|---|---|
Columns | 7.19 | 3 | 2.40 | 0.72 |
Error | 106.44 | 32 | 3.33 | |
Total | 113.64 | 35 |
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