View the content: Central Limit Theorem: Central Limit Theorem for Sample Means
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 CCBY 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 
PDF:  m16947_1.23.pdf  PDF file, for viewing content offline and printing. Learn more. 
XML:  m16947_1.23.cnxml  XML that defines the structure and contents of the module, minus any included media files. Can be reimported in the editing interface. Learn more. 
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 zscore formula to read "The random variable Xbar has a different zscore 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 
If you derive a copy of this content using a OpenStax_CNX account and publish your version, proper attribution of the original work will be automatically done for you.
If you reuse this work elsewhere, in order to comply with the attribution requirements of the license (CCBY 3.0), you must include
See the citation section below for examples you can copy.
The following citation styles comply with the attribution requirements for the license (CCBY 3.0) of this work:
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.
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/.
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/
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/.
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/.
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/.
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/>.