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Use the Rank Correlation Coefficient to Test for a Correlation

question 39

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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. 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.   Compute the rank correlation coefficient,  r_{s} , of the data and test the claim of correlation between placement score and final course score. Use a significance level of  0.05 .
Compute the rank correlation coefficient, r_{s} , 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:

A-B Design

A basic experimental design consisting of a baseline (A) phase followed by a treatment (B) phase, used to evaluate the effect of an intervention.

Intervention

Strategies or actions taken to improve a situation or problem, often used in the context of behavioral or medical treatment.

Behavior Change

A modification in an individual's behavior patterns, attitudes, or actions.

Multiple Baseline Design

A method of graphing behavioral observations that provides a way to evaluate the effectiveness of an intervention when a reversal design is not desirable. A multiple baseline design permits recording and analyzing behavioral observations from three variables: (1) two or more behaviors associated with one student in a single setting, (2) two or more students exhibiting the same behavior in a single setting, and (3) two or more settings in which one student is exhibiting the same behavior.

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