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Hypothesis Testing: Two Population Means and Two Population Proportions: Comparing Two Independent Population Means with Unknown Population Standard Deviations
| 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: | |
| Subject: | Mathematics and Statistics |
| Keywords: | elementary, 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: | 1.18 (history) |
| First publication date: | Jun 17, 2008 4:28 pm -0500 |
| Last revision to module: | Jun 14, 2012 7:51 pm -0500 |
| PDF: | m17025_1.18.pdf | PDF file, for viewing content offline and printing. Learn more. |
| EPUB: | m17025_1.18.epub | Electronic publication file, for viewing in handheld devices. Learn more. |
| XML: | m17025_1.18.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. |
| Source Export ZIP: | m17025_1.18.zip | ZIP containing the module XML plus any included media files. Can be reimported in the editing interface. Learn more. |
| 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. |
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| 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. |
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| 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. |
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| 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. |
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| 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)." |
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| 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. |
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| 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. |
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| Version: | 1.11 Oct 27, 2008 4:47 pm -0500 by James Cooper |
| Changes: | roles updated |
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| 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. |
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| Version: | 1.9 Jul 16, 2008 10:26 am -0500 by Connexions |
| Changes: | fixed solutions and metadata |
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| Version: | 1.8 Jul 14, 2008 4:51 pm -0500 by Connexions |
| Changes: | removed image width params from media tags |
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| Version: | 1.7 Jul 9, 2008 3:20 pm -0500 by Connexions |
| Changes: | table corrections |
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| Version: | 1.6 Jul 9, 2008 6:53 am -0500 by Connexions |
| Changes: | Post review edits |
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| Version: | 1.5 Jul 8, 2008 7:34 pm -0500 by Connexions |
| Changes: | post review edits |
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| Version: | 1.4 Jul 7, 2008 4:12 pm -0500 by Connexions |
| Changes: | post review updates |
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| Version: | 1.3 Jul 3, 2008 10:15 am -0500 by Connexions |
| Changes: | Reviewed for consistency |
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| Version: | 1.2 Jul 2, 2008 10:37 pm -0500 by Connexions |
| Changes: | Made corrections to equations and exercises. |
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| Version: | 1.1 Jun 26, 2008 2:42 pm -0500 by Connexions |
| Changes: | Initial publication |
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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. 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.
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/.
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/
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/.
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/.
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/.
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/>.