For the situation of Example 10 1 8 show that for Tn n n (a) Var (Tn) (b) If 0 and we delete the interval ( , ) from the sample space, then Var (Tn) (c) If 0, the probability content of the interval ( , ) approaches 0 ...

a The integral of ET 2 n is unbounded near zero We have where K max 0x1 e ...

For the situation of Example 10.1.8 show that for Tn = n/n: (a) Var (Tn) = .

Question:

For the situation of Example 10.1.8 show that for Tn = √n/n:
(a) Var (Tn) = ∞.
(b) If μ ≠ 0 and we delete the interval (-δ, δ) from the sample space, then Var (Tn) < ∞.
(c) If μ ≠ 0, the probability content of the interval (-δ, δ) approaches 0.