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A Confidence Interval, A Brief Introduction
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- A confidence interval is a range of numbers, used to describe a statistical parameter
and how sure the statistician is about its value.
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- This interval might be represented in words, as in:
- The average is between 25 and 45.
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- This interval might be represented in symbols, as in:
- 25 < µ < 45.
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- This interval might be represented on a number line, as in:
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- It might be used in conjunction with the area under a normal curve,
as in: "within 2 standard deviations of the mean."
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- It might be used when reporting the error in a survey,
as in: "65% supported the proposition, with a 4% margin of error."
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- It might be used when completing a two-tailed hypothesis test,
as in: "The average is 0. With 95% confidence, test the alternate hypothesis that the average in not 0."
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- In each case the confidence interval is a range of scores.
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