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 - Check Your Skills - Page 668: 27.19

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. If the P-value is less than $\alpha$, which is the significance level, then this means the rejection of the null hypothesis and that the test is statistically significant. $P\lt 0.05$, thus we reject the null hypothesis. Thus there is sufficient evidence to support the claim that the sample means in the three groups differ.
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