ERIC Number: EJ851656
Record Type: Journal
Publication Date: 2004-Jul
Abstractor: As Provided
Reference Count: 1
A Sample/Population Size Activity: Is It the Sample Size of the Sample as a Fraction of the Population that Matters?
Smith, Margaret H.
Journal of Statistics Education, v12 n2 Jul 2004
Unless the sample encompasses a substantial portion of the population, the standard error of an estimator depends on the size of the sample, but not the size of the population. This is a crucial statistical insight that students find very counterintuitive. After trying several ways of convincing students of the validity of this principle, I have finally found a simple memorable activity that convinces students beyond a reasonable doubt. As a bonus, the data generated by this activity can be used to illustrate the central limit theorem, confidence intervals, and hypothesis testing. (Contains 2 tables.)
Descriptors: Sample Size, Error of Measurement, Mathematics Instruction, College Mathematics, Statistics, Homework, Learning Activities, Intervals, Hypothesis Testing, Introductory Courses, Questionnaires, Instructional Effectiveness
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education; Postsecondary Education
Authoring Institution: N/A