statistics: 4.2 STANDARD ERROR AND CONFIDENCE INTERVAL

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Last updated 2:31 PM on 6/30/26
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4 Terms

1
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what does standard error do? 2 pts

it measures how much a sample statistic is expected to vary from sample to sample; tells us the typical size of sample variability

as sample size increases the standard error decreases because a larger sample produces more stable and reliable estimates

2
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how to interpret standard error? 2 pts

  1. small SE- sample estimates are more precise and close to the population value

  2. large SE- sample estimates vary more across samples

3
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what is confidence interval? 1 pt

a range in which the true value/ true mean will lie with a high probability; the range of values we expect our estimate to fall between if we redo our test within a certain level of confidence

a wide confidence interval could mean that the sample is small; the larger the sample size the narrower the confidence interval

<p>a range in which the true value/ true mean will lie with a high probability; the range of values we expect our estimate to fall between if we redo our test within a certain level of confidence  </p><p>a wide confidence interval could mean that the sample is small; the larger the sample size the narrower the confidence interval </p>
4
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why is it relevant to report confidence interval?

  1. it can help with conclusions about statistical significance

  2. it tells us if there is a difference and how big it is

  3. it can indicate the direction of the effect studied