Statistics. Statistics Student name: Tutor name:. 1|Pag

Statistics
Statistics
Student name:
Tutor name:
1 | P a g e

Statistics
QUESTION 1
Are areas with greater levels of collective efficacy having significantly different mean juvenile
crime rates?
HCE: High collective efficacy
LCE: Low collective efficacy
HCE LCE
mean 37.52 52.44
variance 8.2 14.25
n 100 100
Table 1
Hypothesis
H0: μ1 = μ2
Versus
H1: μ1 ≠ μ2
The significance level alpha = 0.05
Test statistic T = ( X 1−X2 )
√ s1
2
n1
− s2
2
n2
Test statistic T = ( 52.44−37.52 )
√ 14.25
100 − 8.2
100
Test statistic T = 14.92
0.245967 =60.66
However t0.95 , 198=1.96
It can be observed that T > t0.95 , 198 that is 60.66 > 1.96
The null hypothesis is rejected. The conclusion is that the areas with greater levels of collective
efficacy will have significantly different mean juvenile crime rate.
2 | P a g e