Question

The Center for the Study of Violence wants to determine whether a conflict-resolution program in a particular high school alters aggressive behavior among its students. For 5 students, aggression was measured both before and after they participated in the conflict-resolution course. Their scores were the following (higher scores indicate greater aggressiveness).

Before Participating After Participating
10 8
3 3
4 1
8 5
8 7

Required:
a. What is the test statistic
b. What are the degrees of freedom
c. Do you reject the null (at alpha = 0.05)
d. What do your results indicate

Answer 1

Answer:

A.) 3.096 ; b.) 4 ; C). We reject the Null

D.) There is significant evidence to support the claim that conflict resolution program reduces level of aggression in STUDENTS.

Step-by-step explanation:

This is a paired test:

Given the data:

Before (x) __ After (y) __ difference (x - y)

10 ______ 8 ______ 2

3 _______ 3 ______ 0

4 _______ 1 _______3

8 _______ 5 ______ 3

8 _______ 7 ______ 1

H0 : μx = μy

H1: μx > μy

dbar = Σd / n ; n = sample size

dbar = 9 / 5 = 1.8

From calculator :

Standard deviation of d, Sd = 1.30

Test statistic = dbar ÷ (Sd / √n)

Test statistic = 1.8 ÷0.5813776

Test statistic = 3.096

Pvalue from test statistic :

df = n - 1 = 5 - 1 = 4

Pvalue, 0.05, 4 = 0.018

Since Pvalue < α ; We reject the Null

We conclude that, there is significant evidence to support the claim that conflict resolution program reduces level of aggression in students.