Carrying Out a Test for a Population Mean

AP Statistics· difficulty 4/5

Doubling n in a one-sample t test (with same x̄, s)

A
$Decreases SE by factor \sqrt2; increases t (in magnitude); decreases p-value$
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B
$Has no effect$
C
$Increases SE$
D
$Doubles t$

Explanation

SE = s/\sqrtn: doubling n divides SE by \sqrt2; |t| grows by \sqrt2 (for same numerator); p-value drops.

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