# BazEkon - The Main Library of the Cracow University of Economics

Author
Gardoń Albert (Uniwersytet Ekonomiczny we Wrocławiu)
Title
The distribution of the T-Student's statistic given the variance from a normal sample
Source
Didactics of Mathematics, 2011, nr 8(12), s. 17-30, bibliogr. 7 poz.
Keyword
Normal distribution, Students, Statistics
Note
summ.
Abstract
It is not so easy to lecture on higher mathematics for economy students. Advanced notions must be often presented for people without an appropriate theoretical background, which forces the teacher to simplify. Unfortunately, the praxis shows that the frontier between a simplification and a factual error is often very subtle and it happens this frontier is sometimes crossed. Such a situation occurs just in the case of the problem, which will be described in this paper. It is a known fact that the so called Student's T statistics from a normal distributed sample is t-Student distributed, without any doubt. But in handbooks for economy students several authors try to use this statistics for exercises with mathematical tables of the t-Student distribution, ordering a calculation of the probability that the sample average will belong to the given interval, in the case when the theoretical variance is unknown but the sample variance has been calculated. Unfortunately, such a situation has nothing to do with the t-Student distribution and this error is systematically copied in successive handbooks.(original abstract)
Accessibility
The Main Library of the Cracow University of Economics
The Library of Warsaw School of Economics
The Library of University of Economics in Katowice
The Main Library of Poznań University of Economics and Business
The Main Library of the Wroclaw University of Economics
Bibliography
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1. Billingsley P. (2009). Prawdopodobieństwo i miara. Wydawnictwo Naukowe PWN. Warszawa.
2. Feller W. (2007). Wstęp do rachunku prawdopodobieństwa. Wydawnictwo Naukowe PWN. Warszawa.
3. Kassyk-Rokicka H. (red.) (2001). Statystyka. Zbiór zadań. PWE. Warszawa.
4. Ostasiewicz S., Rusnak Z., Siedlecka U. (2004). Statystyka. Elementy teorii i zadania. Wydawnictwo Akademii Ekonomicznej we Wrocławiu. Wrocław.
5. Pawłowski Z. (1980). Statystyka matematyczna. PWN. Warszawa.
6. Wawrzynek J. (2007). Metody opisu i wnioskowania statystycznego. Wydawnictwo Akademii Ekonomicznej we Wrocławiu. Wrocław.
7. Witkowski M. (red.) (2010). Statystyka matematyczna w zarządzaniu. Wydawnictwo Uniwersytetu Ekonomicznego w Poznaniu. Poznań.
Cited by
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ISSN
1733-7941
Language
pol