問題詳情

1. Let X1, X2, ...,

be a random sample drawn from an arbitrary distribution with a
finite mean u and variance o . Which of the following statements about Central
Limit Theorem (CLT) are true? (Multiple choices, 10 marks)

(A) As n - co, the sampling distribution of

 converges to the N(0, 1)distribution.

(B)

~ N(O, 1) for sufficiently large n.

(C) If X is a Bin(n, p) random variable, then

~ N(O, 1).

(D) Following

, to apply the CLT, n must be at least 20 if p = 0.5.

參考答案