Question

Show all work please

A researcher is interested in understanding the predictors of why individuals bully other individuals.  She collects the following data.

ID of Respondent	# of Friends who Bully	Respondent was a Bully Victim (0 = No; 1 = Yes)	Gender (0 = Female; 1 = Male)	# of Times Respondent Bullied Others
1	2	1	1	5
2	4	1	0	2
3	3	0	1	8
4	2	0	0	4
5	6	1	1	6
6	3	0	0	2
7	7	1	1	7
8	4	0	0	0
9	2	1	1	1
10	7	1	1	8

Test the hypothesis (at the .05 level of significance) that individuals who were bullied are more likely to bully others. Test the hypothesis (at the .05 level of significance) that individuals who were bullied committed more bullying than those who were not bullied.

                        

Answer 1

Independent T-test has been used for testing the hypothesis. Test has been performed assuming that population variances are equal.

First of all we need to find mean and standard deviation of number times respondent bullied others separately for respondents who were a bully victim and who were not bully victim.

The calculated sample means are shown below:

Also, the calculated sample standard deviations are:

Interpretation

There is not enough evidence to support the claim that individuals who were bullied committed more bullying than those who were not bullied, at the 0.05 significance level.