Is there any disparity in sentencing based on the race of the prisoners? White Black N1= 10 N2 = 8 X1 = 4.30 X1 = 5.00 S1 = 2.01 S2 = 2.50 Test the null hypothesis of the above. Make a decision at Alpha .05. The standard deviation is already squared.

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Is there any disparity in sentencing based on the race of the prisoners?

White                               Black  

N1= 10                             N2 = 8

X1 = 4.30                         X1 = 5.00

S1 = 2.01                          S2 = 2.50      

Test the null hypothesis of the above.  Make a decision at Alpha .05. The standard deviation is already squared.

Expert Solution
Step 1: Determine the hypothesis

H subscript 0 colon mu subscript 1 equals mu subscript 2 (There is no difference in the mean sentencing between White and Black prisoners.)
H subscript a colon mu subscript 1 not equal to mu subscript 2 (There is a difference in the mean sentencing between White and Black prisoners.)

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