In: Statistics and Probability
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 |
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