Problem

Use the scatterplot of distance/time data for a dropped object to find the value of the rank correlation coefficient $\mathrm{r}_{\mathrm{S}}$, and the critical values corresponding to a 0.05 significance level used to test the null hypothesis of $p_{s}=0$. Determine whether there is a correlation.
\# Click the icon to view the critical values of Spearman's rank correlation coefficient.
$r_{s}=\square$ (Round to three decimal places as needed.)
The critical values are $\pm \square$. (Round to three decimal places as needed)
Is there a correlation?
A. Reject the null hypothesis. There is sufficient evidence to support a claim of correlation between distance and time.
B. Fail to reject the null hypothesis. There is sufficient evidence to support a claim of correlation between distance and time.

Answer

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Answer

The question does not provide enough information to calculate the Spearman's rank correlation coefficient or the critical values. Therefore, we cannot answer the question.

Steps

Step 1 :The question is asking for the Spearman's rank correlation coefficient, which is a measure of the strength and direction of association between two ranked variables. In this case, the variables are distance and time. The null hypothesis is that there is no correlation between the two variables.

Step 2 :To calculate the Spearman's rank correlation coefficient, we need the data points for distance and time. However, the question does not provide any data points.

Step 3 :Without the data points, we cannot calculate the Spearman's rank correlation coefficient or the critical values. Therefore, we cannot test the null hypothesis or determine whether there is a correlation between distance and time.

Step 4 :The question does not provide enough information to calculate the Spearman's rank correlation coefficient or the critical values. Therefore, we cannot answer the question.

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