2. What is the average salary offered to a Stony Brook college graduate? To study this question you and a friend interview N students that graduated last year, and ask them what they earn. Student is response was recorded as Y;. You are interested in the average, My. You assumed that the sample of Y's is iid. First you calculate the following estimate of Hy: i=1 You and your friend each collected half the data. Thus you collected Y1,..., YN/2 and your friend collected YN/2+1, ..., Yn. Unfortunately, it turns out that your friend collected the data at a wild alumnae party, and you suspect that these data may not be as precise as your data. So whereas the variance of your data is, var(YA) = o?, i= 1,...,N/2 then your friends data have the variance, var(Y) = o(1 + 3c), i=N/2+1,...,N, for some constant c> 0. (c) Is i a consistent estimator of uy? (Prove it is, or prove it is not]