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: 27.12d

Answer

See below.

Work Step by Step

The degree of freedom of the numerator is the number of groups minus 1: $dfn=I-1=3-1=2.$ The degree of freedom of the denominator is the total sample size($N$) minus the number of groups: $dfd=N-I=(244+734+364)-3=1339$ 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 tree groups differ.
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