SOLUTION: Suppose that a population is known to be normally distributed with muμequals= 2,100 and sigmaσequals=240. If a random sample of size nequals=8 is​ selec

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Question 1059210: Suppose that a population is known to be normally distributed with
muμequals= 2,100
and
sigmaσequals=240.
If a random sample of size
nequals=8
is​ selected, calculate the probability that the sample mean will exceed 2,200.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Suppose that a population is known to be normally distributed with
mu equals = 2,100
and
sigma equals = 240.
If a random sample of size n equals = 8 is​ selected,
calculate the probability that the sample mean will exceed 2,200.
------------------------
z(2200) = (2200-2100)/[240/sqrt(8)] = 1.1785
---
P(x-bar > 2200) = P(z > 1.1785) = normalcdf(1.1785,100) = 0.1193
--------------
Cheers,
Stan H.
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