Use the Spearman Rank Correlation Coefficient to Determine Whether the Correlation

question 74

Essay

Use the Spearman rank correlation coefficient to determine whether the correlation between the given variables is
significant. Be sure to do the following: Identify the claim mathematically and state the null and alternative hypotheses.
Determine the critical value and find the test statistic. Decide whether to reject or fail to reject the null hypothesis and
interpret the decision in the context of the original claim.
-A manager wishes to determine whether there is a relationship between the distance traveled per month by the
sales representatives and the amount of sales generated per month. Can you conclude that there is a correlation
between distance traveled and sales generated? Use $$\alpha$$ = 0.05. $$\begin{array} { l | r r r r r r r r r } \text { Distance (hundreds of miles) } & 11 & 12 & 19 & 16 & 17 & 24 & 12 & 10 & 20 \\\hline \text { Sales (thousands of dollars) } & 40 & 42 & 87 & 71 & 74 & 70 & 57 & 64 & 129\end{array}$$

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Definitions:

Endocarditis

An infection of the inner lining of the heart chambers and heart valves.

Singular

Unique or one of a kind; in grammar, referring to the form of a noun or pronoun that denotes only one person, place, thing, or idea.

Plural

The form of a word used to denote more than one.

Cardiomyopathy

A group of diseases that affect the heart muscle, leading to decreased heart function.