Suppose you are interested in the relationship between adolescent employment and the number of delinquent acts one commits. To examine this relationship, you take a sample of 30 youths, 10 of whom did not work in the previous year, 10 youths who worked less than 15 hours per week during the previous year, and 10 youths who worked more than 15 hours per week during the previous year. Each of the 30 youths in the sample was asked to self-report the number of different delinquent acts they have committed from a list of possible offenses. The resulting data are presented in the table below:
|
Nonworkers
|
Moderate Workers
|
Intensive Workers
|
|
7
|
10
|
11
|
|
12
|
14
|
8
|
|
13
|
8
|
7
|
|
5
|
7
|
10
|
|
8
|
9
|
9
|
|
11
|
11
|
9
|
|
10
|
13
|
7
|
|
14
|
12
|
8
|
|
9
|
8
|
3
|
|
6
|
8
|
3
|
|
Mean = 9.5
|
Mean = 10.0
|
Mean = 7.5
|
Utilize the F-statistic to test the following hypotheses:
Ha: Work intensity and the number of delinquent acts are significantly related
Ho: Work intensity and the number of delinquent acts are not significantly related
What is the calculated value of F for the distribution?
A. 0.083
B. 2.374
C. 17.50
D. 30.00