The table below lists the verbal and math SAT scores of 10 students selected at random. Find the critical value to test the claim of no correlation between verbal and math SAT scores. Use $$\alpha = 0.05 .$$ $$\begin{array} { c | c c c c c }
\text { Verbal } & 495 & 580 & 585 & 490 & 570 \
\hline \text { Math } & 580 & 650 & 675 & 610 & 660
\end{array}$$ $$\begin{array} { c | r r r r r }
\text { Verbal } & 600 & 500 & 550 & 620 & 510 \
\hline \text { Math } & 625 & 710 & 630 & 500 & 510
\end{array}$$
A)0.648
B)0.564
C)0.794
D)-0.648

Question

The table below lists the verbal and math SAT scores of 10 students selected at random. Find the critical value to test the claim of no correlation between verbal and math SAT scores. Use $$\alpha = 0.05 .$$ $$\begin{array} { c | c c c c c } 
\text { Verbal } & 495 & 580 & 585 & 490 & 570 \
\hline \text { Math } & 580 & 650 & 675 & 610 & 660
\end{array}$$ $$\begin{array} { c | r r r r r } 
\text { Verbal } & 600 & 500 & 550 & 620 & 510 \
\hline \text { Math } & 625 & 710 & 630 & 500 & 510
\end{array}$$
A)0.648
B)0.564
C)0.794
D)-0.648

Quizplus · Accepted Answer

The critical value for testing the correlation coefficient with n = 10 and $\alpha = 0.05$ is 0.648.

The Table Below Lists the Verbal and Math SAT Scores α=0.05.\alpha = 0.05 .α=0.05.

The Table Below Lists the Verbal and Math SAT Scores $\alpha = 0.05 .$