The Normal Distribution, Revisited

AP Statistics· difficulty 4/5

Compared to the population, the sampling distribution of x̄

A
$Has different mean$
B
$Has the same mean but smaller SD (= σ/\sqrtn)$
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C
$Has the same mean and same SD$
D
$Is more skewed$

Explanation

x̄ centered at μ; spread shrinks by \sqrtn.

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