Answer
$\mu$= 48,127 dollars, σ = 9200,n = 25, 100
When n=25
$\mu$ = $\mu$ _${\bar{x}}$= 48,127
σ_${\bar{x}\ }$ = $\frac{σ}{\sqrt n}$ = $\frac{9200}{\sqrt 25 }$ = 1840
When n=100
$\mu$ = $\mu$ _${\bar{x}}$= 48,127
σ_${\bar{x}\ }$ = $\frac{σ}{\sqrt n}$ = $\frac{9200}{\sqrt 100 }$ = 920
The sampling distribution of $\bar{x}\ $ when n=100 is approximately normally distributed compared to the sampling distribution when n=25.
Work Step by Step
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