MAT 2379 Lecture 10: 2379-chapter10

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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) (b) hypothesis testing. interval estimation; The case of dependent populations will be considered in chapter 11. Scenario: we have two independent populations with respective means 1 and 1 and with respective standard deviations and . Goal: we will want to compare the means. To do so, we will estimate 1 2. 2 be the sample mean for the second sample which is of size n2. 1 be the sample mean for the first sample which is of size n1 and let x . 2 as an estimator of 1 2. Example 1. (cid:523)from p. (cid:884)(cid:883)(cid:891) of (cid:498)biostatistics. (ow it works(cid:499) by selvin(cid:524) we want to examine if there is any difference in the final grade obtained in a statistics course between the male and female student populations.

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