Answer
Here, we have, μ = 445 , σ = 82
For n = 15
$μ_{x̅} = μ = 445$
$σ_{x̅} = \frac{σ}{\sqrt n} = \frac{82}{\sqrt 15} = 21.17$
For n = 150
$μ_{x̅} = μ = 445$
$σ_{x̅} = \frac{σ}{\sqrt n} = \frac{82}{\sqrt 150} = 6.695$
Work Step by Step
Here, we have, μ = 445 , σ = 82
For n = 15
$μ_{x̅} = μ = 445$
$σ_{x̅} = \frac{σ}{\sqrt n} = \frac{82}{\sqrt 15} = 21.17$
For n = 150
$μ_{x̅} = μ = 445$
$σ_{x̅} = \frac{σ}{\sqrt n} = \frac{82}{\sqrt 150} = 6.695$