The Basic Practice of Statistics 7th Edition

Published by W. H. Freeman
ISBN 10: 146414253X
ISBN 13: 978-1-46414-253-6

Chapter 27 - One-Way Analysis of Variance: Comparing Several Means - Apply Your Knowledge - Page 665: 27.13a

Answer

See below.

Work Step by Step

If we want to use ANOVA, then the ratio of the maximum and minimum standard deviation can be at most $2$. Here it is: $\frac{2.25}{1.61}\approx1.3975\lt2$, so we can use it.
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