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The Table Below Lists the Verbal and Math SAT Scores rS\mathrm { r } _ { \mathrm { S } }

Question 19

Multiple Choice

The table below lists the verbal and math SAT scores of 35 students selected at random. Find the test statistic, rS\mathrm { r } _ { \mathrm { S } } to test the claim of no correlation between verbal and math SAT scores.  Verbal 295380385290370400300350420310 Math 38045047541046045510430300310 Verbal 295340410520360400660530700610 Math 440500400480410380500540580620 Verbal 290470510380390550420430330370 Math 380480490510440560440500410300 Verbal 430390530380390 Math 430410560400360\begin{array}{l}\begin{array} { l | l l l l l l l l l l } \text { Verbal } & 295 & 380 & 385 & 290 & 370 & 400 & 300 & 350 & 420 & 310 \\\hline \text { Math } & 380 & 450 & 475 & 410 & 460 & 45 & 510 & 430 & 300 & 310\end{array}\\\\\begin{array} { l | l l l l l l l l l l } \text { Verbal } & 295 & 340 & 410 & 520 & 360 & 400 & 660 & 530 & 700 & 610 \\\hline \text { Math } & 440 & 500 & 400 & 480 & 410 & 380 & 500 & 540 & 580 & 620\end{array}\\\\\begin{array} { l | l l l l l l l l l l } \text { Verbal } & 290 & 470 & 510 & 380 & 390 & 550 & 420 & 430 & 330 & 370 \\\hline \text { Math } & 380 & 480 & 490 & 510 & 440 & 560 & 440 & 500 & 410 & 300\end{array}\\\\\begin{array} { l | l l l l l } \text { Verbal } & 430 & 390 & 530 & 380 & 390 \\\hline \text { Math } & 430 & 410 & 560 & 400 & 360\end{array}\end{array}


A) 0.545
B) 0.616
C) 0.731
D) 0.819

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