STAT 1100 Chapter Notes - Chapter 10: Statistical Hypothesis Testing, Decision Rule, 2Degrees

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Estimation and hypothesis testing for two population parameters. In this chapter we are going to study two cases for con - dence intervals and hypothesis tests for two populations. The rst case, and the most extensive, uses independent sampling (see de nition 1). The second case (at the end of the chapter) will use paired sampling, i. e. , when samples are dependent. We say that two sample sets are independent if they are selected from two or more populations in such a way that the occurrence. In sections 1 and 2 all sampling will be independent. Sec- tions 3 and 4 will be concerned with paired samples. 1. 1 estimating the 1 2 if 1 and 2 are. 1 (standard error of x1 x2 with 1, 2 known). 1 and 2 independent samples of sizes n1 and n2. Then, the standard error of the difference x1 x2 is. 1 (con dence interval estimate for 1 2).

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