Hypothesis Testing: Means

Activities: In-class, small group

• Average Length of Last Names.  Involves using data from small groups of 4 students to perform hypothesis tests on the mean length of student last names.  Submitted by William L.  Harkness.

Class lecture notes

• Hypothesis test for a mean.  An introduction to hypothesis testing for a single population mean.  Submitted by Laura J. Simon.
• Hypothesis testing: two dependent population means.   An introduction to hypothesis testing for two dependent population means using the paired T-test.  Submitted by Laura Simon.
• Hypothesis testing: two population means.  An introduction to hypothesis testing for two population means using the two-sample T-test.  Submitted by Laura Simon.
• ANOVA.  An introduction to one-way analysis of variance to compare two or more population means.  Submitted by Laura Simon.

Flowcharts

• Testing hypotheses: means of two populations.  Determining how to test hypotheses made about the means of two populations.  Submitted by Mosuk Chow.
• Comparing two population means. Choosing the correct procedure to compare two population means.  Submitted by Mosuk Chow.

Projects

• Inference for a Mean. Students are asked to randomly sample from a population to create a confidence interval and perform a hypothesis test about a mean and the difference in paired means. Submitted by Mosuk Chow.

Videos

• Against All Odds: Inside Statistics Video 21:  Inference for One Mean.  Discover an improved technique for statistical problems that involve a population mean: the t-statistic for use when s is not known.  Paired samples are emphasized as the most important practical use of these procedures.  The t-confidence interval and t-test and "robustness of t-procedures" are defined.  (28:52 mins.)  Video available in Main Office and from Penn State AVS.
• Against All Odds: Inside Statistics Video 22:  Comparing Two Means.  Learn how to recognize a two-sample problem and to distinguish such samples from one-sample and paired-sample situations.  Give a confidence interval for the difference between two means.  Demonstrate the two-sample t-test with conservative degrees of freedom. (28:50 mins.)  Video available in Main Office and from Penn State AVS.