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. Complete the F-table. (Round your answers to two decimal places Is it necessary to compute a post hoc test? Explain. Assume alpha equal to o.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.

Explanation / Answer

Answer:

Part a

Here, we have to complete the ANOVA table given as below:

ANOVA

Source of Variation

SS

df

MS

F

Between Groups

6.22

4 -1 = 3

6.22/3 = 2.07

2.07/3.50 = 0.59

Within Groups

112

35 – 3 = 32

112/32 = 3.50

Total

118.22

36 – 1 = 35

Part b

Here, we have to check whether the post hoc test is necessary or not. For finding this, we need to find out the P-value for above ANOVA table. We have to use the F-distribution table for finding the P-value by using the degrees of freedoms as 3 and 32. The P-value by using F-table is given as below:

P-value = 0.62

We are given a alpha value as 0.05.

Here, P-value is greater than alpha value. We do not reject the null hypothesis. So, ANOVA is not significant. Do, post hoc test is not appropriate.

Answer:

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

ANOVA

Source of Variation

SS

df

MS

F

Between Groups

6.22

4 -1 = 3

6.22/3 = 2.07

2.07/3.50 = 0.59

Within Groups

112

35 – 3 = 32

112/32 = 3.50

Total

118.22

36 – 1 = 35

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