The following data are SAT scores for entrance into UT and OU. We want to know if the dispersion of the SAT scores is different for the two schools, and we decide to calculate an Ansari-Bradley test. What is the Ansari-Bradley test statistic for these data? Calculate the statistic using the ranks of the data from OU. OU: 1400 1170 980 970 UT: 1300 1220 1190 1110
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To test:
H0: Dispersion of SAT scores is equal for the two schools i.e., V(OU) = V(UT), where V(.) is the variance.
H1: Dispersion of SAT scores is not equal for the two schools i.e., V(OU)V(UT), where V(.) is the variance.
Given data is:
OU (x): 1400, 1170, 980, 970
UT (y): 1300, 1220, 1190, 1110
Assuming 0.05 significance level.
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