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 652: 27.3c

Answer

See below.

Work Step by Step

The null hypothesis says that the all population means are equal to each other: $H_0:\mu_1=\mu_2=\mu_3$ The alternative hypothesis says the opposite of the null hypothesis, which is that at least one of the means doesn't equal all the others. The F-statistic is under "F", thus $F=11.4257$. The P-value is is under "P-value", thus $P=0.00205$. $P\lt 0.05$, thus we reject the null hypothesis. Thus there is evidence to support the claim that not all population means are equal.
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