Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 7 - Estimates and Sample Sizes - 7-3 Estimating a Population Mean - Basic Skills and Concepts - Page 359: 23


The populations could have the same mean because the population means overlap.

Work Step by Step

First we put each data set into Microsoft Excel. Then, using Excel, we find that the first population has $43.8\lt μ\lt50.1$ and the second population has $42.6\lt μ \lt46.4$. The two values overlap, hence we can see that it is possible (but not $100\%$) that the populations have the same mean, meaning that discrimination possibly is not present.
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