MAT 2379 Lecture Notes - Lecture 1: Interval Estimation, Statistical Hypothesis Testing, Opata Language

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In this chapter, we will compare the means corresponding to two independent populations. For this, we will use the following methods, called methods of statistical inference: (a) interval estimation; (b) hypothesis testing. The case of dependent populations will be considered in chapter 13. Scenario: we have two independent populations with respective means 1 and 1 and with respective standard deviations 2. Goal: we will want to compare the means. To do so, we will estimate 1 2. Estimation of 1 2: let x1 be the sample mean for the rst sample which is of size n1 and let x2 be the sample mean for the second sample which is of size n2. We will use x1 x2 as an estimator of 1 2. How it works by selvin) we want to examine if there is any di erence in the nal grade obtained in a statistics course between the male and female student populations.

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