Question

The scores of 7 students on the midterm exam and final exam were as follows. Student Anderson Bailey Cruz DeSana Erickson Francis Gray Midterm Final 98 93 98 96 95 80 93 75 89 99 80 83 71 95 Find the value of the (Spearman's) rank correlation coefficient test statistic that would be used to test the claim of no correlation between midterm score and final exam score. Round your answer to 3 places after the decimal point, if necessary, Test statistic:r's License Points possible: 2 This is attempt 1 of 1

Answer 1

a b Midterm (X) Rank for Midterm Rank for Final d=a-b da2 Final (Y) 93 6.5 4 2.5 6.25 Stduent Anderson Bailey Cruz 98 96 6.5 6 0.5 0.25 95 80 5 2 9 DeSana 75 4 1 3 9 93 89 16 Ericksson Francis 80 83 2 71 95 5 16 Gray Total 624 621 28 28 57.5

6 [d2 {:{d² taken Test statistic : r=1- non 1) Here , n=7 .. yg = 1 - 6 ( 57.5) #(72-1) from above table} = - 345 7(49-1) 1 - 345 7 (48) 1 - 345 356 EI - 1.026786 0.026786 0.027 Ys = 0.027