Use the Spearman Rank Correlation Coefficient to Determine Whether the Correlation

question 38

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.
-In an area of the Midwest, records were kept on the rainfall and the yield of wheat. Can you conclude that
there is a correlation between rainfall and yield of wheat? Use $$\alpha$$ = 0.01. $$\begin{array} { l | l l l l l l l l l } \text { Rainfall (inches) } & 13.5 & 11.8 & 16.4 & 15.5 & 21.8 & 13.3 & 10.0 & 18.6 & 19.0 \\\hline \text { Yield (bushels per acre) } & 53.5 & 49.2 & 61.8 & 62.0 & 85.4 & 52.2 & 34.9 & 79.0 & 81.8\end{array}$$

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Definitions:

Personal Representative

A personal representative is an individual appointed to administer the estate of a deceased person under a will or through a court process.

Nonprobate

Refers to assets or property that will pass to survivors by means other than a will, such as through trust or designated beneficiary.

Ambulatory

A term pertaining to the ability of a will to be changed by a testator.

Bequest

The act of giving property or money to someone else after one's death through a will.