Why are my T1 and T2 values so different if they are both unbiased estimators?

[BlueScreenOD]

Homework Statement

See attached.

Homework Equations

The Attempt at a Solution

I have no issues with part A. I simply took the expected value of T₁ and T₂ and everything turned out fine. What I'm having issues with is part B.

I have:
T₁ = (4 / n) * 1997 - 2 = 0.08075
T₂ = (4 / n) * 32 = 0.03334

Why are my answers so different if they are both unbiased estimators? Shouldn't they at least be somewhat close to each other?

 

[Billy Bob]

Your answers are correct. The expected value of T₁ is θ. However, any observed value of T₁ may or may not be close to θ.