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Normal Critical Value Calculator — result sheet
Calculate the two-sided standard-normal critical value for an entered confidence level.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: For a two-sided confidence level C, α=1−C and z*=Φ⁻¹(1−α/2).
The result is the positive standard-normal cutoff used in a symmetric two-sided normal interval or test.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Confidence level — %; minimum 1.0E-6; maximum 99.999999
Worked example
| Input | Value |
|---|---|
| Confidence level | 95 |
Two-sided normal critical value ≈ 1.95996.
Assumptions and limits
- The normal reference distribution is intended.
- The interval is two-sided and symmetric.
- Student t, chi-square, F, finite-population, and multiple-comparison critical values are not inferred.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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