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Een demonstratie van de centrale limietstelling

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  • J. Sittig

Abstract

An demonstration of the Central Limit Theorem. For the dimension y of a screw‐plug cartridge fuse (fig. 1) the relation y = ‐a + b‐ c + d + e holds good, a, b, c, d, and e being certain dimensions of the component parts. Batches of components were sorted into two sub‐lots, each sub‐lot having a distribution truncated on one side (fig. 3). From one set of sub‐lots 300 sets of components were selected with the aid of random sampling numbers; these were assembled and the resultant dimension y of the assemblage observed. Despite the non‐normality of the distributions of the components the distribution of y is shown to be essentially normal: 1 by computing β1; 2 by plotting the cumulative distribution on arithmetic probability paper (fig. 4); and 3 by calculation of χ2 (P = 0.32).

Suggested Citation

  • J. Sittig, 1950. "Een demonstratie van de centrale limietstelling," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 4(3‐4), pages 93-100, June.
    • Handle: RePEc:bla:stanee:v:4:y:1950:i:3-4:p:93-100
    DOI: 10.1111/j.1467-9574.1950.tb00419.x
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