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Math

Confidence Interval

CI for the mean (t≈z)

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Parameters

Results

CI lower
39.566
CI upper
45.434
± margin
2.934
SE
1.4971

For small n, use the t-distribution; this uses a z approximation.

How it works

Build a confidence interval for a population mean.

Who it's for: Statistics students and researchers reporting estimate uncertainty.

CI = x̄ ± z·SE where SE = σ/√n.

Uses the supplied standard deviation (or sample s) and confidence level.

Approximates t with z for simplicity.

How to use

  1. Enter sample mean x̄, standard deviation σ (or s), sample size n, and confidence level.
  2. Read the lower and upper bounds of the interval.