A Sample/Population Size Activity: Is It the Sample Size of the Sample as a Fraction of the Population that Matters?

Autor/in	Smith, Margaret H.
Titel	A Sample/Population Size Activity: Is It the Sample Size of the Sample as a Fraction of the Population that Matters?
Quelle	In: Journal of Statistics Education, 12 (2004) 2, (10 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1069-1898
Schlagwörter	Sample Size; Error of Measurement; Mathematics Instruction; College Mathematics; Statistics; Homework; Learning Activities; Intervals; Hypothesis Testing; Introductory Courses; Questionnaires; Instructional Effectiveness + Suchen Sie Ihr Suchwort? Messfehler; Mathematics lessons; Mathematikunterricht; Statistik; Hausaufgabe; Lernaktivität; Hypothesenprüfung; Hypothesentest; Einführungskurs; Fragebogen; Unterrichtserfolg
Abstract	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.) (As Provided).
Anmerkungen	American Statistical Association. 732 North Washington Street, Alexandria, VA 22314. Tel: 703-684-1221; Tel: 888-231-3473; Fax: 703-684-2037; e-mail: asainfo@amstat.org; Web site: http://www.amstat.org/publications/jse
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10