Question

In: Statistics and Probability

3.         A teacher is interested in whether the number of bullying incidents by active bullies varies...

3.         A teacher is interested in whether the number of bullying incidents by active bullies varies by class. The following data are the number of bullying incidents that occurred for 5 individuals randomly selected from 4 separate courses. Test the null hypothesis at the .01 level of significance that bullying does not vary across class. In so doing, identify: (1) the research and null hypothesis, (2) the critical value needed to reject the null, (3) the decision that you made upon analyzing the data, and (4) the conclusion you have drawn based on the decision you have made.

*Please show all work*

Class 1

Class 2

Class 3

Class 4

3

1

3

1

1

1

5

2

4

2

5

2

3

4

5

1

2

4

4

1

Solutions

Expert Solution

for the given data using Anova single factor in Excel we get output as

Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
Class 1 5 13 2.6 1.3
Class 2 5 12 2.4 2.3
Class 3 5 22 4.4 0.8
Class 4 5 7 1.4 0.3
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 23.4 3 7.8 6.638298 0.004023 5.292214
Within Groups 18.8 16 1.175
Total 42.2 19

So from the above output


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