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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 CC-BY 3.0 |
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| 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) |
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| 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. |
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| 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. |
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| 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. |
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| 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." |
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| 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." |
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| 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." |
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| 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. |
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| 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." |
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| 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. |
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| Version: | 1.14 Feb 24, 2009 8:42 am -0600 by Chuck Bearden |
| Changes: | Changed U+02C9 macrons into U+00AF macrons. |
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| 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. |
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| 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." |
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| 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. |
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| Version: | 1.10 Oct 27, 2008 9:43 am -0500 by James Cooper |
| Changes: | roles updated |
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| Version: | 1.9 Aug 20, 2008 11:10 am -0500 by Jonathan Emmons |
| Changes: | Corrected errors (see m17360 for details) |
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| Version: | 1.8 Jul 18, 2008 5:08 pm -0500 by Connexions |
| Changes: | removed draft note |
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| Version: | 1.7 Jul 14, 2008 4:56 pm -0500 by Raymond Wagner |
| Changes: | fixed math typos |
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| Version: | 1.6 Jul 14, 2008 3:11 pm -0500 by Connexions |
| Changes: | removed width attributes from media parameters |
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| Version: | 1.5 Jul 9, 2008 5:05 pm -0500 by Raymond Wagner |
| Changes: | fixed mathml error |
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| Version: | 1.4 Jul 9, 2008 6:18 am -0500 by Connexions |
| Changes: | Post review edits |
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| Version: | 1.3 Jul 7, 2008 2:25 pm -0500 by Connexions |
| Changes: | post review updates |
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| Version: | 1.2 Jun 30, 2008 11:34 pm -0500 by Connexions |
| Changes: | Updated for consistency within collection |
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| Version: | 1.1 Jun 26, 2008 1:04 pm -0500 by Connexions |
| Changes: | Initial publication |
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If you reuse this work elsewhere, in order to comply with the attribution requirements of the license (CC-BY 3.0), you must include
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The following citation styles comply with the attribution requirements for the license (CC-BY 3.0) of this work:
Dean, S.; Illowsky, B. Central Limit Theorem: Central Limit Theorem for Sample Means, Connexions 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 [Connexions 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 Connexions Web site: http://cnx.org/content/m16947/1.23/
Dean, Susan, and Barbara Illowsky. "Central Limit Theorem: Central Limit Theorem for Sample Means." Connexions. June 18, 2012. http://cnx.org/content/m16947/1.23/.
Susan Dean and Barbara Illowsky, "Central Limit Theorem: Central Limit Theorem for Sample Means," Connexions, June 18, 2012, http://cnx.org/content/m16947/1.23/.
Dean, S., & Illowsky, B. 2012. Central Limit Theorem: Central Limit Theorem for Sample Means. Connexions, June 18, 2012. http://cnx.org/content/m16947/1.23/.
Dean, Susan, and Barbara Illowsky. Central Limit Theorem: Central Limit Theorem for Sample Means. Connexions. 18 June 2012 <http://cnx.org/content/m16947/1.23/>.