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The Sampling Distribution of the Sample Mean

Shravan Vasishth () and Michael Broe ()
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Shravan Vasishth: University of Potsdam, Department of Linguistics
Michael Broe: Ohio State University, 1304 Museum of Biological Diversity, Department of Evolution, Ecology & Organismal Biology

Chapter Chapter 3 in The Foundations of Statistics: A Simulation-based Approach, 2011, pp 43-80 from Springer

Abstract: Abstract We begin by establishing a fundamental fact about any normal distribution: about 95% of the probability lies within 2 SD of the mean. If we integrate the area under these curves, between 2 SD below the mean and 2 SD above the mean, we find the following areas, which correspond to the amount of probability within these bounds

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-16313-5_3

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DOI: 10.1007/978-3-642-16313-5_3

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