A Placement Test Is Required for Students Desiring to Take

question 32

Essay

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. $$\begin{array}{l}\text { Placement Score}&\text { Final Course Score }\\\hline 38 & 63 \\90 & 41 \\95 &54 \\51 & 32 \\86 & 93 \\74 & 60 \\60 & 61 \\57 & 89\end{array}$$ Compute the rank correlation coefficient, rs, of the data and test the claim of no correlation between placement score and final course score. Use a significance level of 0.05.

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Definitions:

Classical Conditioning

A process of learning in which two events that repeatedly occur close together in time become tied together in a person’s mind and so produce the same response.

Self-hypnosis

A process where an individual induces a state of hypnosis in themselves, usually for purposes of self-improvement or therapy.

Regression

A defense mechanism in psychology where an individual's behavior reverts to an earlier stage of development.

State-dependent Learning

A phenomenon where an individual's ability to recall information is enhanced when in the same state of consciousness as when the information was learned.