Question: Let Yi be i.i.d., E[Y ] 0, and 1. Let b Y n be the samplemean and b

Let Yi be i.i.d., ¹ Æ E[Y ] È 0, and µ Æ ¹¡1. Let b¹ Æ Y n be the samplemean and bµ Æ b¹¡1.

(a) Is bµ unbiased for µ?

(b) If bµ is biased, can you determine the direction of the bias E

£bµ¡µ

¤

(up or down)?

(c) Is the percentile interval appropriate in this context for confidence interval construction?

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