The Basic Practice of Statistics 7th Edition

Published by W. H. Freeman
ISBN 10: 146414253X
ISBN 13: 978-1-46414-253-6

Chapter 15 - Sampling Distributions - Apply Your Knowledge - Page 355: 15.8a

Answer

The sample mean ($\bar x$) is an unbiased estimator of population mean (μ), as μ = ($\bar x$), and it does not take into consideration the size of the sample and the population. Hence, the mean will always be the same no matter what the size of the sample is.

Work Step by Step

The sample mean ($\bar x$) is an unbiased estimator of population mean (μ), as μ = ($\bar x$), and it does not take into consideration the size of the sample and the population. Hence, the mean will always be the same no matter what the size of the sample is.
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