Use the Spearman Rank Correlation Coefficient to Determine Whether the Correlation

question 21

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.
-The final exam scores of 10 randomly selected statistics students and the number of hours they studied for the
exam are given below. Can you conclude that there is a correlation between scores on the test and time spent
studying? Use $$\alpha = 0.01 .$$ $$\begin{array} { l | r r r r r r r r r r } \text { Hours } & 7 & 9 & 6 & 12 & 6 & 8 & 8 & 9 & 10 & 7 \\\hline \text { Score } & 69 & 84 & 64 & 92 & 70 & 82 & 89 & 94 & 94 & 75\end{array}$$

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