ps://www.dropbox.com/sh/emx6gmx2nu0i56z/AAA5v9wCiTGX4G44QhD61Vn7a?dl%=D0&preview=hw10.pdf 7 Autonet Mercedes S 63 AM... Mercedes S 63 AM.. Obyekt- 90 m2-.B Obyekt-204 m. B Obyekt-100 m². B Obyekt-100...

Extracted text: ps://www.dropbox.com/sh/emx6gmx2nu0i56z/AAA5v9wCiTGX4G44QhD61Vn7a?dl%=D0&preview=hw10.pdf 7 Autonet Mercedes S 63 AM... Mercedes S 63 AM.. Obyekt- 90 m2-.B Obyekt-204 m. B Obyekt-100 m². B Obyekt-100 m². B Obyekt-110 m hw10.pdf 2. Consider a random sample X1,..., Xn from a normal distribution with known mean 0 and unknown variance 0 = o? (a) Write the likelihood and log-likelihood function (b) Derive the maximum likelihood estimator for 0 (c) Show that the Fisher information matrix is I(0) = 204 (d) What is the variance of the maximum likelihood estimator for 0? Does it attain the Cramer-Rao lower bound? (e) Suppose that you are testing 0 = 1 versus the alternative 0 + 1. Determine the likeli- hood ratio test and the associated decision rule (f) Suppose that you are testing 0 test statistic and the associated decision rule = 1 versus the alternative 0 + 1. Determine the Wald (g) Suppose that you are testing 0 = 1 versus the alternative 0 + 1. Determine Rao's score statistic and the associated decision rule Type here to search 33°C Mostly sunny A ENG