Statistics 630: Assignment 9 - Estimation & Confidence Intervals
VerifiedAdded on 2023/01/13
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Homework Assignment
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This document presents the complete solutions for Statistics 630 Assignment 9, focusing on key statistical concepts. The assignment covers a range of topics including point estimation, confidence intervals for the mean with known and unknown variance, and hypothesis testing using the Z-test. Further, it delves into Fisher information, maximum likelihood estimation (MLE), and the properties of estimators. The solutions also address confidence intervals for population proportions, Fisher information for different distributions (normal, gamma, Pareto), and applications of the Poisson distribution and the Central Limit Theorem. Detailed calculations and explanations are provided for each problem, including the construction of confidence intervals using pivots and the application of the method of moments estimator.
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