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

Answer

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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.