Answer
x̄ is normally distributed with μ_{x̄} = 2600 and σ_{x̄} = 11.18
Work Step by Step
We have μ = 2600, σ = 50 and n= 20
$μ_{x̄} = μ$, hence $μ_{x̄} = 2600$
$σ_{x̄} = σ / \sqrt n$
$= 50 / \sqrt 20=25/\sqrt 5$
= 11.18
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