Use the rank correlation coefficient to test for a correlation between the two variables.
-A college administrator collected information on first-semester night-school students. A random sample taken of 12 students yielded the following data on age and GPA during the first semester.
$\begin{array}{llcc}
\text { Age} & \text { GPA} \
\underline{\text {x }} & \underline{\text {y}}\
18&1.2\
26&3.8\
27&2.0\
37&3.3\
33&2.5\
47&1.6\
20&1.4\
48&3.6\
50&3.7\
38&3.4\
34&2.7\
22&2.8
\end{array}$
Do the data provide sufficient evidence to conclude that the variables age, $x$, and GPA, $y$, are correlated? Apply a rank-correlation test. Use $\alpha = 0.05$.

Question

Use the rank correlation coefficient to test for a correlation between the two variables.
-A college administrator collected information on first-semester night-school students. A random sample taken of 12 students yielded the following data on age and GPA during the first semester. 
$\begin{array}{llcc}
  \text {  Age} &  \text {  GPA} \
 \underline{\text {x  }} & \underline{\text {y}}\
18&1.2\
26&3.8\
27&2.0\
37&3.3\
33&2.5\
47&1.6\
20&1.4\
48&3.6\
50&3.7\
38&3.4\
34&2.7\
22&2.8
\end{array}$
Do the data provide sufficient evidence to conclude that the variables age, $x$, and GPA, $y$, are correlated? Apply a rank-correlation test. Use $\alpha = 0.05$.

Quizplus · Accepted Answer

The Answer of Use the rank correlation coefficient to test for a correlation between the two variables.
-A college administrator collected information on first-semester night-school students. A random sample taken of 12 students yielded the following data on age and GPA during the first semester. 
$\begin{array}{llcc}
  \text {  Age} &  \text {  GPA} \
 \underline{\text {x  }} & \underline{\text {y}}\
18&1.2\
26&3.8\
27&2.0\
37&3.3\
33&2.5\
47&1.6\
20&1.4\
48&3.6\
50&3.7\
38&3.4\
34&2.7\
22&2.8
\end{array}$
Do the data provide sufficient evidence to conclude that the variables age, $x$, and GPA, $y$, are correlated? Apply a rank-correlation test. Use $\alpha = 0.05$.

Use the Rank Correlation Coefficient to Test for a Correlation