01:202:302 Lecture Notes - Lecture 6: Statistical Population, Unimodality, Statistic

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Class activities: professor trelawney"s research assistant is hard at work again. Professor has asked the assistant to begin some basic inferential analysis. The assistant has been given a data set consisting of 45 observations taken by the professor for a study into neighborhood design and crime. The assistant is now at the point of trying to apply one of the theoretical distributions to the results obtained in the first round of analysis. The assistant should try applying the principles of the t distribution because the sample is too small. To use the z distribution, the sample size has to be either equal to or bigger than 100. As in this problem, n is 45, which is smaller than 100, the criterion is not met. Hence, the assistant cannot use z distribution and has to use t distribution instead: identify the characteristics of the t distribution.

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