Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 13 - Nonparametric Statistics - 13-6 Rank Correlation - Basic Skills and Concepts - Page 673: 6


There seems to be correlation.

Work Step by Step

We can see that as time increases, the distance increases, hence the rank correlation is neagtive and is $\pm1$, hence $r_s=-1$. We find the critical values for $n=6$ in the table: $r_s(0.05)=\pm0.886.$ If $r_s(0.05)$ is in the rejection region, we reject the null hypothesis. $-1\lt-0.886$, hence we reject the null hypothesis. Therefore there seems to be correlation.
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