tTest: TwoSample Assuming Equal Variances 

White 
Black 

Mean 
235.5714286 
199.164557 
Variance 
44025.35714 
87049.21616 
Observations 
21 
79 
Pooled Variance 
78268.83677 

Hypothesized Mean Difference 
0 

df 
98 

t Stat 
0.530044235 

P(T<=t) onetail 
0.298640076 

t Critical onetail 
1.660551217 

P(T<=t) twotail 
0.597280151 

t Critical twotail 
1.984467455 
From provided information,
The following null and alternative hypothesis need to tested.
Ho : There is no difference in age of offenders at prison admission between White and Black offenders.
I.e.
Ha : Therw is difference i age of offenders at prison admission between White and Black offenders.
I.e.
Therefore this is a two tailed test.
Given output of t test :
P value for two tailed test = 0.5973
Decision : Do not reject Ho, because p value is greater than 0.05 level of significance.
Conclusion :There is not a significant difference in the age of offenders at prison admissions between White and Black offenders at 0.05 level of significance.
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