In a test for equality of mean commuting times for students from three different colleges, the P-value

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In a test for equality of mean commuting times for students from three different colleges, the P-value of 0.679 is obtained. Based on the P-value, we cannot support the alternative hypothesis that at least one of the three means is different from the others.
Does this statement make sense or not? Explain clearly.
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Statistical Reasoning for Everyday Life

ISBN: 978-0321817624

4th edition

Authors: Jeff Bennett, Bill Briggs, Mario F. Triola

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