STA 2023 Final: Final Study Guide

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30 Nov 2017
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Chapter #7 inference based on a single sample estimation w/confidence interval. Interval estimator: consists of a range around the point estimator, within which the parameter is believed to fall. The accuracy depends on characteristics of the sampling dist. of the estimator. Notes: either the interval captures the population parameter or it does not, the confidence coeff. gives the probability of capturing the parameter. +/- 2. 05 is unknown, (as is usually the case) and n is large n 30, you can replace with s. Assumptions: none, since clt guarantees that the sampling distribution of the sample mean is approx. normal. Note: the higher the confidence, the greater the chance that the ci contains the parameter. Questions: as the sample size inc. the width of the interval gets , as the confidence coeff inc. the width . Is a 95% ci wider or narrower than a 99% ci? .