Use the Spearman Rank Correlation Coefficient to Determine Whether the Correlation

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. $$\begin{array} { l | l l l l l l l l l } \text { Rainfall (inches) } & 13.5 & 11.8 & 16.4 & 15.5 & 21.8 & 13.3 & 10.0 & 18.6 & 19.0 \\\hline \text { Yield (bushels per acre) } & 53.5 & 49.2 & 61.8 & 62.0 & 85.4 & 52.2 & 34.9 & 79.0 & 81.8\end{array}$$