Use the Rank Correlation Coefficient to Test for a Correlation

question 12

Essay

Use the rank correlation coefficient to test for a correlation between the two variables. A placement test is
required for students desiring to take a finite mathematics course at a university. The instructor of the course
studies the relationship between students' placement test score and final course score. A random sample of eight
students yields the following data. $$\begin{array} { | c c | } \hline \text { Placement Score } & \text { Final Course Score } \\& 63 \\90 & 41 \\95 & 54 \\51 & 32 \\86 & 93 \\74 & 60 \\60 & 61 \\57 & 89\end{array}$$ Compute the rank correlation coefficient, rs, of the data and test the claim of correlation between placement score
and final course score. Use a significance level of 0.05.

---

Definitions:

Ambulatory Aid

Equipment designed to assist individuals in walking or improving their mobility.

Firearm Safety

Precautions and practices designed to minimize the risk of accidental injury or death by firearms.

School-Age Children

Refers to children who are attending elementary school, generally aged between 6 to 12 years.

Poison Control Center

A specialized facility providing free, confidential expert advice and assistance in the event of exposure to poisonous or toxic substances.