Suppose a simple random sample of size
nequals=6464
is obtained from a population with
mu equals 80μ=80
and
sigma equals 32σ=32.
(a) Describe the sampling distribution of
x overbarx.
(b) What is
Upper P left parenthesis x overbar greater than 85.6 right parenthesisP x>85.6?
(c) What is
Upper P left parenthesis x overbar less than or equals 71.6 right parenthesisP x≤71.6?
(d) What is
Upper P left parenthesis 76.4 less than x overbar less than 90 right parenthesisP 76.4<x<90?
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