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About: Hypothesis Testing: Two Population Means and Two Population Proportions: Comparing Two Independent Population Means with Unknown Population Standard Deviations

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

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Metadata

Name: Hypothesis Testing: Two Population Means and Two Population Proportions: Comparing Two Independent Population Means with Unknown Population Standard Deviations
ID: m17025
Language: English (en)
Summary: This module provides an overview of Comparing Two Independent Population Means with Unknown Population Standard Deviations as a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean.
Subject: Mathematics and Statistics
Keywords: elementary, 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: 1.18 (history)
First publication date: Jun 17, 2008 4:28 pm -0500
Last revision to module: Jun 14, 2012 7:51 pm -0500

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Version History

Version: 1.18 Jun 14, 2012 7:51 pm -0500 by Susan Dean
Changes:
Hypothesis Testing: Two Population Means and Two Population Proportions: Comparing Two Independent Population Means with Unknown Population Standard Deviations: Added populations are normal to the examples.  Included reference to the Aspin-Welch t-test. For Example 1, expanded the conclusion.

Version: 1.17 Jun 11, 2012 6:54 am -0500 by Susan Dean
Changes:
Hypothesis Testing: Two Population Means and Two Population Proportions: Comparing Two Independent Population Means with Unknown Population Standard Deviations: Adding spacing for clarity.

Version: 1.16 Jun 11, 2012 5:42 am -0500 by Susan Dean
Changes:
Hypothesis Testing: Two Population Means and Two Population Proportions: Comparing Two Independent Population Means with Unknown Population Standard Deviations: Updated graph.

Version: 1.15 Jun 11, 2012 5:19 am -0500 by Susan Dean
Changes:
Hypothesis Testing: Two Population Means and Two Population Proportions: Comparing Two Independent Population Means with Unknown Population Standard Deviations: Minor edits.

Version: 1.14 Aug 12, 2011 10:19 am -0500 by Susan Dean
Changes:
Hypothesis Testing: Two Population Means and Two Population Proportions: Comparing Two Independent Population Means with Unknown Population Standard Deviations: Updated glossary item "Variable (Random Variable)."

Version: 1.13 Feb 4, 2009 6:29 pm -0600 by Susan Dean
Changes:
Hypothesis Testing: Two Population Means and Two Population Proportions: Comparing Two Independent Population Means with Unknown Population Standard Deviations:
Changed the second item below the title of the module to read "Both populations are normally distributed with the population means and standard
deviations unknown unless the sample sizes are greater than 30.  In that case, the populations need not be normally distributed."  Made minor edits to the glossary.

Version: 1.12 Feb 4, 2009 6:19 pm -0600 by Susan Dean
Changes:
Two Population Means and Two Population Proportions: Comparing Two Independent Population Means with Unknown Population Standard Deviations:  Took out the two sentences about pooled variances that appear after the df formula and before the first NOTE. In the bulleted list below the T-score formula, corrected the list to have 3 bullets instead of 4.  In the NOTE that contains the calculator instructions, corrected .75 to read square root of .75.   

Version: 1.11 Oct 27, 2008 4:47 pm -0500 by James Cooper
Changes:
roles updated

Version: 1.10 Oct 1, 2008 3:10 am -0500 by Connexions
Changes:
See Change History (m17360) for a list of specific changes for this revision.

Version: 1.9 Jul 16, 2008 10:26 am -0500 by Connexions
Changes:
fixed solutions and metadata

Version: 1.8 Jul 14, 2008 4:51 pm -0500 by Connexions
Changes:
removed image width params from media tags

Version: 1.7 Jul 9, 2008 3:20 pm -0500 by Connexions
Changes:
table corrections

Version: 1.6 Jul 9, 2008 6:53 am -0500 by Connexions
Changes:
Post review edits

Version: 1.5 Jul 8, 2008 7:34 pm -0500 by Connexions
Changes:
post review edits

Version: 1.4 Jul 7, 2008 4:12 pm -0500 by Connexions
Changes:
post review updates

Version: 1.3 Jul 3, 2008 10:15 am -0500 by Connexions
Changes:
Reviewed for consistency

Version: 1.2 Jul 2, 2008 10:37 pm -0500 by Connexions
Changes:
Made corrections to equations and exercises.

Version: 1.1 Jun 26, 2008 2:42 pm -0500 by Connexions
Changes:
Initial publication

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American Chemical Society (ACS) Style Guide:

Dean, S.; Illowsky, B. Hypothesis Testing: Two Population Means and Two Population Proportions: Comparing Two Independent Population Means with Unknown Population Standard Deviations, Connexions Web site. http://cnx.org/content/m17025/1.18/, Jun 14, 2012.

American Medical Assocation (AMA) Manual of Style:

Dean S, Illowsky B. Hypothesis Testing: Two Population Means and Two Population Proportions: Comparing Two Independent Population Means with Unknown Population Standard Deviations [Connexions Web site]. June 14, 2012. Available at: http://cnx.org/content/m17025/1.18/.

American Psychological Assocation (APA) Publication Manual:

Dean, S., & Illowsky, B. (2012, June 14). Hypothesis Testing: Two Population Means and Two Population Proportions: Comparing Two Independent Population Means with Unknown Population Standard Deviations. Retrieved from the Connexions Web site: http://cnx.org/content/m17025/1.18/

Chicago Manual of Style (Bibliography):

Dean, Susan, and Barbara Illowsky. "Hypothesis Testing: Two Population Means and Two Population Proportions: Comparing Two Independent Population Means with Unknown Population Standard Deviations." Connexions. June 14, 2012. http://cnx.org/content/m17025/1.18/.

Chicago Manual of Style (Note):

Susan Dean and Barbara Illowsky, "Hypothesis Testing: Two Population Means and Two Population Proportions: Comparing Two Independent Population Means with Unknown Population Standard Deviations," Connexions, June 14, 2012, http://cnx.org/content/m17025/1.18/.

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

Dean, S., & Illowsky, B. 2012. Hypothesis Testing: Two Population Means and Two Population Proportions: Comparing Two Independent Population Means with Unknown Population Standard Deviations. Connexions, June 14, 2012. http://cnx.org/content/m17025/1.18/.

Modern Languages Association (MLA) Style Manual:

Dean, Susan, and Barbara Illowsky. Hypothesis Testing: Two Population Means and Two Population Proportions: Comparing Two Independent Population Means with Unknown Population Standard Deviations. Connexions. 14 June 2012 <http://cnx.org/content/m17025/1.18/>.