A simple random sample of size
nequals=3636
is obtained from a population with
mu equals 77μ=77
and
sigma equals 24σ=24.
(a) Describe the sampling distribution of
x overbarx.
(b) What is
Upper P left parenthesis x overbar greater than 84 right parenthesisP x>84?
(c) What is
Upper P left parenthesis x overbar less than or equals 68.2 right parenthesisP x≤68.2?
(d) What is
Upper P left parenthesis 71.8 less than x overbar less than 86.8 right parenthesisP 71.8<x<86.8?
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