AMS 315- Final Exam Guide - Comprehensive Notes for the exam ( 38 pages long!)

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1 be a random sample of size n from y which has the distribution. 1 n: central limit theorem (clt): when. 1 is a random sample of size n from y which. The clt allows probability calculations that increase in accuracy as the sample size increases. For a random sample of size n, it is always true that ( nye and var( Yeh: null hypothesis, alternative hypothesis, level of significance , type i error: reject a null hypothesis that is true, the probability of a type i error is . Alternative distribution: distribution of the test statistic under the setting of the alternative hypothesis. Example of statistical hypothesis (variance known: a research team took a sample of 8 observations from the random variable y, which had a. They observed at the 0. 10, 0. 05, and 0. 01 levels of significance. 50 against the alternative: the test statistic is.