STAT 1123 Final Exam Review Prof. Tan Le #5. A criminologist was interested in whether there was any disparity in sentencing based on the race of the defendant. She selected at random 19 drug convictions for cocaine distribution and compared the prison terms given to the 10 whites and 9 blacks samples. The sentence lengths (in years) are shown below for the white and black offenders. The descriptive statistics are given below: White Black N1 = 10 N2 = 9 X, =4.00 X, = 6.22 01 = 1.56 02 = 1.79 Use these data and 2% significance level, test the null hypothesis that whites and blacks convicted of distribution of cocaine does not differ with respect to sentence length. (Hint: Use test statistic Z ( 7 , - $2 ) - ( 14 - 12 ) (where: [1 - 12 = 0). 0 2 n2