a) This semester, we have discussed the method of moments and maximum likelihood as methods for proposing estimators. 1') What is meant by \"proposing an estimator\"? 22') Choose either one of the previous methods, and briey/ succinctly explain how it is used to propose an estimator. b) This semester, we have discussed bias, mean squared error, consistency, and sufciency as properties of estimators. 1') What is meant by \"properties of estimators\"? ii) Choose any two of the aforementioned properties, and briey/ succinctly explain how they are used to assess an estimator. c) What are type-I errors, type-II errors, and power? (1) Briey explain how each of these would change a condence interval for a parameter 6. 1') Increasing the sampling size, n, and leaving everything else equal. ii) Increasing the signicance level, a, and leaving everything else equal. iii) Increasing the population variance 0'2, and leaving everything else equal. e) What is a pvalue? How are they used to test hypotheses