A College Administrator Collected Information on First-Semester Night-School Students Do the Data Provide Sufficient Evidence to Conclude That the Random

Essay

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. $$\begin{array}{l}\begin{array} { c c c } \text { Age}&& \text {GPA }\\{ x } & & y \\\hline 18 & & 1.2 \\26 & & 3.8 \\27 & & 2.0 \\37 & & 3.3 \\33 & & 2.5 \\47 & & 1.6 \\20 & & 1.4 \\48 & & 3.6 \\50 & & 3.7 \\38 & & 3.4 \\34 & & 2.7 \\22 & & 2.8\end{array}\end{array}$$ Do the data provide sufficient evidence to conclude that the variables age, $\mathrm { x }$ , and GPA, $\mathrm { y }$ , are correlated? Apply ; rank-correlation test. Use $\alpha = 0.05$ .