Chapter 7. Sampling Distributions for Means

  1. Michael R. Chernick1,
  2. Robert H. Friis2

Published Online: 11 APR 2003

DOI: 10.1002/0471458716.ch7

Introductory Biostatistics for the Health Sciences: Modern Applications Including Bootstrap

Introductory Biostatistics for the Health Sciences: Modern Applications Including Bootstrap

How to Cite

Chernick, M. R. and Friis, R. H. (2003) Sampling Distributions for Means, in Introductory Biostatistics for the Health Sciences: Modern Applications Including Bootstrap, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471458716.ch7

Author Information

  1. 1

    Novo Nordisk Pharmaceuticals, Inc., Princeton, New Jersey, USA

  2. 2

    California State University, Long Beach, California, USA

Publication History

  1. Published Online: 11 APR 2003
  2. Published Print: 21 FEB 2003

ISBN Information

Print ISBN: 9780471411376

Online ISBN: 9780471458715

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Keywords:

  • population distributions;
  • sampling distribution;
  • the central limit theorem;
  • standard error of the mean;
  • Z distribution;
  • Student's t-distribution

Summary

  • Strategy of statistical inference

  • Creating a sampling distribution

  • The Central Limit Theorem

  • Population distribution and sample size in relation to shape of sampling distributions

  • Definition of the standard error of the mean

  • Z-transformation when the population standard deviation is known

  • Approximate Z-scores for large sample sizes

  • Use of the Students t-statistic when the population standard deviation is unknown