Essentials of Statistics (5th Edition)

Published by Pearson
ISBN 10: 0-32192-459-2
ISBN 13: 978-0-32192-459-9

Chapter 7 - Estimates and Sample Sizes - 7-3 Estimating a Population Mean - Page 353: 23

Answer

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

Work Step by Step

First, put each data set into Microsoft Excel. Then, using Excel, we find that the first population has $43.8 \lt \mu \lt 50.1$ and the second population has $42.6 \lt \mu \lt 46.4$. Since these two values overlap, we see that it is possible (but not certain) that the populations have the same mean, meaning that discrimination possibly is not be present.
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