Provide an appropriate response.
-The table below lists the amounts (in dollars) spent on clothing and entertainment over the last year by 10 adults selected at random. Find the critical values to test the hypothesis of no correlation between spending in these two areas. Use $\alpha = 0.05$.
$\begin{array}{l|lllll}
\text { Clothing } & 315 & 400 & 405 & 310 & 390 \
\hline \text { Entertainment } & 400 & 470 & 495 & 430 & 480
\end{array}$

$\begin{array}{l|lllll}
\text { Clothing } & 420 & 320 & 370 & 440 & 330 \
\hline \text { Entertainment } & 445 & 530 & 450 & 320 & 330
\end{array}$

A) $\pm 0.648$
B) $\pm 0.564$
C) $\pm 0.794$
D) $\pm 0.745$

Question

Provide an appropriate response.
-The table below lists the amounts (in dollars) spent on clothing and entertainment over the last year by 10 adults selected at random. Find the critical values to test the hypothesis of no correlation between spending in these two areas. Use $\alpha = 0.05$.
$\begin{array}{l|lllll}
\text { Clothing } & 315 & 400 & 405 & 310 & 390 \
\hline \text { Entertainment } & 400 & 470 & 495 & 430 & 480
\end{array}$

$\begin{array}{l|lllll}
\text { Clothing } & 420 & 320 & 370 & 440 & 330 \
\hline \text { Entertainment } & 445 & 530 & 450 & 320 & 330
\end{array}$

A) $\pm 0.648$
B) $\pm 0.564$
C) $\pm 0.794$
D) $\pm 0.745$

Quizplus · Accepted Answer

The critical values for testing the hypothesis of no correlation with $\alpha = 0.05$ and 8 degrees of freedom (n-2 = 10-2) are $\pm 0.648$.