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:

Sterile Rubber Gloves

Surgical gloves that have been sterilized to prevent the introduction of pathogens during medical procedures.

Lubricant

A substance used to reduce friction between surfaces, making them easier to move or operate; widely used in medical examinations and procedures.

Thermometers

Instruments used to measure body temperature, critical for diagnosing and monitoring medical conditions.

Mercury

A chemical element with the symbol Hg that is a heavy, silvery d-block element; known for its use in thermometers and fluorescent lamps but toxic to humans and the environment if not handled properly.