Project #5170 - Statistics

Question #1. You are interested in investigating whether greater attachment to one’s friends reduces employee theft. You draw a random sample of 10 people with high attachment to their friends, and a second random sample of 8 people with low attachment to their friends. You obtain the following data on the number of self-reported thefts from their employer. Use α = .01 to test the hypothesis that higher levels of attachment reduce theft.

High attachment: 1  3  4  2  2  1  3  1  0  4

Low attachment: 2  4  6  5  3  5  4  2

Question #2. Does intensity of probation supervision influence success on probation? To answer this question, you take a random sample of 50 probationers on intensive probation, and a second independent random sample of 75 probationers on regular probation. For the intensive probation sample, the mean number of arrests was 6.3 (with a variance of 6.1). For the regular probation sample, the mean number of arrests was 2.0 (with a variance of 2.9). Using a significance level of .01, test the hypothesis that the two population means are different.

 

Question #3. You are interested in investigating whether youths that frequently go out on dates commit a different number of delinquent acts than youths that rarely go out on dates. You draw a random sample of 10 youths that frequently go out on dates, and a second random sample of 8 youths that infrequently go out on dates. You obtain the following data on the number of self-reported delinquent acts. Using α = .05, test the hypothesis that frequent daters commit a different number of delinquent acts.

 

Frequent dating: 2  3  2  0  1  4  2  3  2  3

Infrequent dating: 2  1  2  0  3  1  2  1

 

Question #4. You are interested in examining whether arrest for domestic violence deters subsequent incidents. You draw a sample of 7 male abusers who have been arrested for a recent domestic violence incident. By way of a police record search, you determine the number of complaints to the police made by the suspect’s partner prior to the current arrest. One year post-arrest, you conduct a similar search. Use a 5% significance level to test the hypothesis that arrest deters assault.

 

Person:                                   1  2  3  4  5  6  7

Pre-arrest complaints:          6  4  1  2  3  4  5

Post-arrest complaints:       4  3  1  0  1  2  6

 

Question #5. You are interested in investigating whether family structure is associated with delinquent behavior. You gather data from a sample of 24 middle-school youths, asking them what parent figure(s) they live with at home, as well as the number of times that they have engaged in delinquency. Use a 1% significance level to test the hypothesis that there is a relationship between family structure and delinquency.

 

Both biological parents: 1  0  1  1  2  1  2  0

One biological/one step parent: 2  1  0  3  1  2  2  3

Single biological parent: 3 4  3  5  2  4  3  5

Subject Mathematics
Due By (Pacific Time) 04/30/2013 02:00 pm
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