STAT 100 Lecture 19: Inference Independent Two Sample Means

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The goal of inference is to compare the responses of two treatments or to compare the characteristics of two populations. We have a separate sample from each treatment or each population. Individuals for one sample have no in uence upon which individuals are selected for a second sample. The units are not matched, and the samples can be of differing sizes. One of the most common goal in inference of two populations is to compare the average or typical responses in the two populations. That is comparing the means of each of the populations. Test claims regarding the difference of two populations" means from independent samples. Two samples are independent if one sample has no in uence on the other. (matched pairs violate independence since one sample directly affects the other sample) Construct and interpret con dence intervals regarding the difference of two population means. Our parameters of interest are the population means 1 and 2.

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