To test whether students in a higher grade level will be less disruptive in clas

Question

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

2

4

(a) Complete the F-table. (Round your answers to two decimal places.)

(b) Is it necessary to compute a post hoc test? Explain. (Assume alpha equal to 0.05.)

Yes, post hoc analyses are appropriate because the ANOVA is significant.

No, post hoc analyses are not appropriate because the ANOVA is not significant.

High School Class

Freshman Sophmore Junior Senior 4

2

5 3

4

2 3 4 1 4 5 4 0 4 4 4 1 0 4 3 5 3 0 4 3 0 3 2 3 5 6 5 2 1 0 2

Explanation / Answer

(a) The F-table is,

Now the critical value is F0.05;3,32 = 2.90112 ,

Since, F < F0.05;3,32 , hence ANOVA is not significant so post hoc analysis is not appropriate.

Source SS df MS F Between Groups 8.31 3 2.77 0.96 Within groups (error) 92.44 32 2.89 - Total 100.75 35 - -

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