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AP Statistics/Unit 3: Collecting Data
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Standard Error and Sample Size

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In an experiment, the standard error of the mean for a response variable was 2.5, based on a sample of 20 subjects. If the experiment is replicated with a new sample of 80 subjects, what is the expected standard error of the mean, assuming the population standard deviation remains constant?

A

2.5∗20/80=1.252.5*\sqrt{20/80} = 1.25

B

2.52.5

C

2.5/2=1.25/22.5/2 = 1.25/2

D

5.05.0

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