here is a 61​% chance that x̄ is above what​ value?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Given a normal distribution with

μ=101

and

σ=25​,

and given you select a sample of

n=25
There is a
61​%
chance that
is above what​ value?
 
Expert Solution
Step 1

Let , X→N(μ=101 , σ=25) , n=25

By using central limit theorem ,

The sampling distribution of the sample mean is approximately normal.

X¯N(μX¯=μ,σX¯=σn)

 

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