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Confidence Intervals for Population Means
Formula
A confidence interval provides a range of values that is likely to contain the true population parameter. A 95% confidence interval means that if you repeated the sampling process many times, 95% of the intervals would contain the true mean.
The width of the interval depends on the sample size, variability, and confidence level. Larger samples and lower confidence levels produce narrower intervals.
Common use cases:
- Estimating population parameters from surveys
- Clinical trial result reporting
- Quality assurance measurement uncertainty
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