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How to Calculate Confidence Interval

Calculate confidence intervals for population means.

The Formula

CI = x̄ ± z*(σ/√n)

The confidence interval formula uses the mathematical relationship: CI = x̄ ± z*(σ/√n). Each variable in the formula represents a measurable quantity that affects the final result.

Step-by-Step Method

  1. 1Identify all input values needed for the confidence interval calculation.
  2. 2Substitute your known values into the formula: CI = x̄ ± z*(σ/√n).
  3. 3Perform the arithmetic operations in the correct order (PEMDAS/BODMAS).
  4. 4Check that your result has the correct units and is within a reasonable range.
  5. 5Verify using the interactive Confidence Interval Calculator to confirm your answer.

Related Topics

confidence intervalstatistics

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