Answer
See below.
Work Step by Step
The sample size is large enough (at least $30$), thus according to the central limit theorem the sampling distribution of the sampling mean is approximately normal, thus we can use the ANOVA test.
The Basic Practice of Statistics 7th Edition
by Moore, David S.; Notz, William I.; Fligner, Michael A.
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 664: 27.12a
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