Lesson 10.pdf - Lesson 10 Hypothesis Testing for Comparing...

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Lesson 10: Hypothesis Testing for Comparing Two Means, ࠵? ࠵? and ࠵? ࠵? In previous lesson we introduced the concept of hypothesis testing via tests for one mean ࠵? . What if we want to compare two independent population means ࠵? ! and ࠵? ! ? Just like we extended the confidence interval from one mean to the confidence interval for difference in two means, now we are going extend the hypothesis testing for comparing two means ࠵? ! and ࠵? ! . Just like in the hypothesis testing for one mean ࠵? , hypothesis tests for two means also could either be two-tailed, right tail or left tail test. We used the sampling distribution of ࠵? to get the test statistic for hypothesis tests for ࠵? . Now, we are going to use the sampling distribution of ࠵? ! ࠵? ! to get the test statistic for hypothesis test for ࠵? ! ࠵? ! Depending on your alternative hypothesis (two-tailed, left or right tail), calculation of the rejection region and the p-value is different.
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NOTE : Just like in the confidence interval for ࠵?
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