Q9Section I (Objective (Q1–Q80))9 of 80

Statistical Inference — unbiased but inconsistent estimator

Let $X_1, X_2, X_3, …, X_n, X_{n+1}$ be $(n+1)$ observations from $N(\mu, 1)$ distribution. If $\overline{X_n} = \frac{\sum_{i=1}^{n}X_i}{n}$ and $T = \frac{(\overline{X_n}+X_{n+1})}{2}$ , then which one of the following is correct?

Pick an option to check your answer. In a mock test a wrong answer here costs 0.83 mark.

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