Letnbspx1 nbspxnnbspbe iid rvs with nite unknown


Let X1, ... , Xbe i.i.d. r.v.'s with (?nite) unknown mean and (?nite) known variance 2, and suppose that is large.

i) Use the CLT to construct a con?dence interval for with approximate con?dence coef?cient 1 - a;

ii) What does this interval become if = 100, = 1 and = 0.05?

iii) Refer to part (i) and determine so that the length of the con?dence interval is 0.1, provided = 1 and= 0.05.

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Basic Statistics: Letnbspx1 nbspxnnbspbe iid rvs with nite unknown
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