In order to estimate the average age, denoted by , of all eligible voters in Michigan Congressional District 14, three methods are used to form a point estimate. Method 1: randomly sample an eligible voter in the District and use his/her age as the point estimate, denoted by 1. Method 2: randomly sample 10 eligible voters in the District. For each sampled voter , take his/her age as , then let the point estimate be 2 = (1 + + 10)/10 Method 3: Use 3 = (1 + 2)/2 as the point estimate (a) Which of the following statements are correct? A. Method 1 produces an unbiased estimator (call it Estimator 1) B. Method 2 produces an unbiased estimator (call it Estimator 2) C. Method 3 produces an unbiased estimator (call it Estimator 3) D. The probability distribution of Estimator 1 is normal E. The probability distribution of Estimator 2 is normal F. The variance of Estimator 2 is smaller than the variance of Estimator 1 G. The variance of Estimator 3 is smaller than the variance of Estimator 2 H. If we repeat Method 1 times and take the average of the point estimates 1 thus obtained, i.e., = (1 + 2 + + )/, this average will be more and more close to as we increase