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About: Central Limit Theorem: Central Limit Theorem for Sample Means

Module by: Susan Dean, Barbara Illowsky, Ph.D.. E-mail the authors

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Metadata

Name: Central Limit Theorem: Central Limit Theorem for Sample Means
ID: m16947
Language: English (en)
Subject: Mathematics and Statistics
Keywords: Central Limit Theorem, Sample Means, statistics
License: Creative Commons Attribution License CC-BY 3.0

Authors: Susan Dean (susanldean45@gmail.com), Barbara Illowsky, Ph.D. (illowskybarbara@deanza.edu)
Copyright Holders: Maxfield Foundation (cnx@cnx.org)
Maintainers: Susan Dean (susanldean45@gmail.com), Barbara Illowsky, Ph.D. (illowskybarbara@deanza.edu), Connexions (cnx@cnx.org)

Latest version: 1.23 (history)
First publication date: Jun 6, 2008 3:04 pm -0500
Last revision to module: Jun 18, 2012 9:49 am -0500

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Version History

Version: 1.23 Jun 18, 2012 9:49 am -0500 by Susan Dean
Changes:
Central Limit Theorem: Central Limit Theorem for Sample Means: Took out (Averages) in title.

Version: 1.22 Jun 5, 2012 8:17 am -0500 by Susan Dean
Changes:
Central Limit Theorem: Central Limit Theorem for Sample Means (Averages): Updated graph.

Version: 1.21 May 27, 2012 1:35 pm -0500 by Susan Dean
Changes:
Module: Central Limit Theorem: Central Limit Theorem for Sample Means (Averages): Updated notation.

Version: 1.20 Aug 16, 2011 9:59 am -0500 by Susan Dean
Changes:
Central Limit Theorem: Central Limit Theorem for Sample Means (Averages): Updated glossary item "Cantral Limit Theorem."

Version: 1.19 Aug 15, 2011 9:25 pm -0500 by Susan Dean
Changes:
Central Limit Theorem: Central Limit Theorem for Sample Means (Averages):Updated glossary item "Normal Distribution."

Version: 1.18 Aug 11, 2011 6:38 pm -0500 by Susan Dean
Changes:
Central Limit Theorem: Central Limit Theorem for Sample Means (Averages): Updated glossary item "average."

Version: 1.17 Jul 22, 2011 10:34 pm -0500 by Susan Dean
Changes:
Central Limit Theorem: Central Limit Theorem for Sample Means (Averages):  For Example 7.2, corrected the layout.

Version: 1.16 Mar 9, 2010 8:06 am -0600 by Susan Dean
Changes:
 Central Limit Theorem: Central Limit Theorem for Sample Means (Averages): Added the words "sampling distribution."

Version: 1.15 Mar 8, 2010 9:09 pm -0600 by Susan Dean
Changes:
Central Limit Theorem: Central Limit Theorem for Sample Means (Averages): Added "and 84" to a calculator instruction.

Version: 1.14 Feb 24, 2009 8:42 am -0600 by Chuck Bearden
Changes:
Changed U+02C9 macrons into U+00AF macrons.

Version: 1.13 Feb 7, 2009 8:53 am -0600 by Susan Dean
Changes:
Central Limit Theorem: Central Limit Theorem for Sample Means (Averages):  Clarified the language in the glossary items.

Version: 1.12 Jan 24, 2009 11:37 pm -0600 by Susan Dean
Changes:
Central Limit Theorem: Central Limit Theorem for Sample Means (Averages):  Edited glossary item "Average."

Version: 1.11 Jan 24, 2009 10:34 pm -0600 by Susan Dean
Changes:
Central Limit Theorem: Central Limit Theorem for Sample Means (Averages):  Edited the sentence above the z-score formula to read "The random variable Xbar has a different z-score associated with it than the random variable X.  xbar is the value of Xbar in one sample: Corrected the glossary to display the standard deviations in the distributions instead of the variances.  

Version: 1.10 Oct 27, 2008 9:43 am -0500 by James Cooper
Changes:
roles updated

Version: 1.9 Aug 20, 2008 11:10 am -0500 by Jonathan Emmons
Changes:
Corrected errors (see m17360 for details)

Version: 1.8 Jul 18, 2008 5:08 pm -0500 by Connexions
Changes:
removed draft note

Version: 1.7 Jul 14, 2008 4:56 pm -0500 by Raymond Wagner
Changes:
fixed math typos

Version: 1.6 Jul 14, 2008 3:11 pm -0500 by Connexions
Changes:
removed width attributes from media parameters

Version: 1.5 Jul 9, 2008 5:05 pm -0500 by Raymond Wagner
Changes:
fixed mathml error

Version: 1.4 Jul 9, 2008 6:18 am -0500 by Connexions
Changes:
Post review edits

Version: 1.3 Jul 7, 2008 2:25 pm -0500 by Connexions
Changes:
post review updates

Version: 1.2 Jun 30, 2008 11:34 pm -0500 by Connexions
Changes:
Updated for consistency within collection

Version: 1.1 Jun 26, 2008 1:04 pm -0500 by Connexions
Changes:
Initial publication

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  • the authors' names: Susan Dean, Barbara Illowsky
  • the title of the work: Central Limit Theorem: Central Limit Theorem for Sample Means
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How to Cite and Attribute This Content

The following citation styles comply with the attribution requirements for the license (CC-BY 3.0) of this work:

American Chemical Society (ACS) Style Guide:

Dean, S.; Illowsky, B. Central Limit Theorem: Central Limit Theorem for Sample Means, OpenStax_CNX Web site. http://cnx.org/content/m16947/1.23/, Jun 18, 2012.

American Medical Assocation (AMA) Manual of Style:

Dean S, Illowsky B. Central Limit Theorem: Central Limit Theorem for Sample Means [OpenStax_CNX Web site]. June 18, 2012. Available at: http://cnx.org/content/m16947/1.23/.

American Psychological Assocation (APA) Publication Manual:

Dean, S., & Illowsky, B. (2012, June 18). Central Limit Theorem: Central Limit Theorem for Sample Means. Retrieved from the OpenStax_CNX Web site: http://cnx.org/content/m16947/1.23/

Chicago Manual of Style (Bibliography):

Dean, Susan, and Barbara Illowsky. "Central Limit Theorem: Central Limit Theorem for Sample Means." OpenStax_CNX. June 18, 2012. http://cnx.org/content/m16947/1.23/.

Chicago Manual of Style (Note):

Susan Dean and Barbara Illowsky, "Central Limit Theorem: Central Limit Theorem for Sample Means," OpenStax_CNX, June 18, 2012, http://cnx.org/content/m16947/1.23/.

Chicago Manual of Style (Reference, in Author-Date style):

Dean, S., & Illowsky, B. 2012. Central Limit Theorem: Central Limit Theorem for Sample Means. OpenStax_CNX, June 18, 2012. http://cnx.org/content/m16947/1.23/.

Modern Languages Association (MLA) Style Manual:

Dean, Susan, and Barbara Illowsky. Central Limit Theorem: Central Limit Theorem for Sample Means. OpenStax_CNX. 18 June 2012 <http://cnx.org/content/m16947/1.23/>.