Confidence interval

Each row of points is a sample from the same normal distribution. The colored lines are 50% confidence intervals for the population mean μ. At the center of each interval is the sample mean , marked with a diamond. The blue intervals contain μ, and the red ones do not. 50 % of all intervals (blues) have the population mean.

In statistics, a confidence interval (CI) is a range of values used to estimate an unknown statistical parameter, such as a population mean.[1] Rather than reporting a single point estimate (e.g. "the average screen time is 3 hours per day"), a confidence interval provides a range, such as 2 to 4 hours, along with a specified confidence level, typically 95%. This indicates that if the same sampling procedure were repeated 100 times, approximately 95 of the resulting intervals would be expected to contain the true population mean.

A 95% confidence level does not imply a 95% probability that the true parameter lies within a particular calculated interval. The confidence level instead reflects the long-run reliability of the method used to generate the interval.[2]

  1. ^ Hazra, Avijit (2017). "Using the confidence interval confidently". Journal of Thoracic Disease. 9 (10): 4124–4129. doi:10.21037/jtd.2017.09.14. PMC 5723800. PMID 29268424.
  2. ^ "Confidence Intervals". Yale Department of Statistics. Retrieved 2025-04-05.

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