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Significado de las Distribuciones Muestrales en Textos Universitarios de Estadística

Keywords: Sampling Distributions , meaning of mathematical objects , analysis of textbooks

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Abstract:

In this paper we analyse the presentation of sampling distributions in a sample of 22 statistics textbooks more employed in teaching engineering students in Chile. Our work is based on a theoretical model on the meaning of mathematical objects. The most important elements of the subject revealed a wealth of applications to engineering situations. The texts show, in general, are becoming more technical in the absence of the foundations of statistical properties, the usual form of symbolic expression, neglecting the graphic representations and simulations. As a consequence of such an analysis we infer some criteria for the future designing of teaching proposals, like the complementation of the experimentation and generalization of sampling distributions through various formulations, representations and tools for solving problems.

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