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Use the rank correlation coefficient to test for a correlation between the two variables. A placement test is required for students desiring to take a finite mathematics course at a
university. The instructor of the course studies the relationship between students' placement
test score and final course score. A random sample of eight students yields the following data.
Compute the rank correlation coefficient, r_{s} , of the data and test the claim of correlation between placement score and final course score. Use a significance level of 0.05 .
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