Use the Rank Correlation Coefficient to Test for a Correlation

question 7

Essay

Use the rank correlation coefficient to test for a correlation between the two variables.
-Ten luxury cars were ranked according to their comfort levels and their prices. $$\begin{array} { c c c } \hline \text { Make } & \text { Comfort } & \text { Price } \\\hline \text { A } & \mathbf { 5 } & 1 \\\text { B } & 8 & 7 \\\text { C } & 9 & 3 \\\text { D } & 10 & 5 \\\text { E } & 4 & 4 \\\text { F } & 3 & 2 \\\text { G } & 2 & 10 \\\text { H } & 1 & 9 \\\text { I } & 7 & 6 \\\mathbf { J } & 6 & 8 \\\hline\end{array}$$
Find the rank correlation coefficient and test the claim of correlation between comfort and price. Use a significance level of 0.05.

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Definitions:

Uncontrolled Variable

An uncontrolled variable is a factor that can affect the outcome of an experiment but is not kept constant or limited by the researcher.

Malpractice

The failure of a professional to meet the accepted standards of their profession, resulting in harm to their client or patient.

Competent

Refers to having the necessary ability, knowledge, or skill to do something successfully.

Extraneous Variables

Variables other than the independent variable that may affect the outcome of an experiment, potentially leading to inaccurate results if not controlled.