# If 11eab06d_2507_988f_beed_9976f618d49d_tb2133_11 S1u1b1js1u1b0, an Unbiased Estimator of 11eab06d_2507_9890_beed_f5bfb5255f5c_tb2133_11 S1u1b1js1u1b0, Is

Question 3

Multiple Choice

# If _{j}, an unbiased estimator of _{j}, is also a consistent estimator of _{j}, then when the sample size tends to infinity:
A)the distribution of _{j} collapses to a single value of zero.
B)the distribution of _{j} diverges away from a single value of zero.
C) the distribution of
_{j} collapses to the single point
_{j}.
D) the distribution of
_{j} diverges away from
_{j}.

C
Explanation: If _{j}, an unbiased estimator of _{j}, is also a consistent estimator of _{j}, then when the sample size tends to infinity the distribution of _{j} collapses to the single point _{j}.