The robustness of the student t test when sampling from a Weibull distribution
Allen, David P.
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When testing with the t-test, it is assumed that the sample under investigation is from a norm.al population. The purpose of this thesis is to examine the sensitivity of the t-test to violations of this norm.ality assumption. A com.- puter simulation was performed to draw sets of 10,000 samples from an infinite V/eibull population. A t-test v;as perform.ed on each sample to test the null hypothesis K : p <_ y where \i was the true mean of the V/eibull population. The number of times that H was rejected was recorded for all com.binao tions of eight levels of significance, samples ranging in size from 2 to 31, and for values of the parameters of the distribution X = 1,2,3 and 3 = 1,2,3.
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