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.

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Definitions:

Down Syndrome

Down Syndrome is a genetic disorder caused by the presence of all or part of a third copy of chromosome 21, leading to developmental and intellectual delays.

Genetic Determinants

Factors encoded in an individual’s DNA that influence their traits, characteristics, and likelihood of developing certain diseases or conditions.

Knock-In Mice

Genetically engineered mice in which a gene has been precisely altered by the insertion of a modified gene or a reporter gene at a specific locus.

Knockout Mice

Genetically engineered mice in which one or more specific genes have been made inoperative to study gene function.