Homework 5Due Nov 8, 2011Ch 6: 20 ; Ch 7: 4, 15; Ch8: 34, 461. LetX∼Poisson(β). Find the bias, variance and MSE of¯Xas well as∑XiN-1. Using the CLT, what is the asymptotic distribution of¯X.2. AssumeX∼N(μ, σ2).Use the CLT to derive asymptotic confidenceintervals forσ2, usingS2.Use the data from question 34 to computea confidence interval and compare it to you answer from question 46.Discuss why there are or are not difference between the two approaches
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Probability theory, Alter ego, Binomial proportion confidence interval, coverage probability