Question 2 Consider a population with mean a and variance 02

Question 2 Consider a population with mean and variance o < 00. After collecting an IID sample of T ob- servations, you estimate the mean of the population with an estimator such that E(6T) = 0.5/1 102. Which statement is correct? and v(aT) A) The estimator is not consistent but 26T is B) The estimator arr is consistent because its variance goes to zero C) We cannot determine whether the estimator arr is consistent with this information D) The estimator 26T is unbiased but inconsistent E) None of the above