Confidence Interval (z-based)
Calculate Confidence Interval (z-based) instantly with the exact formula and a worked example.
Confidence Interval (z-based)
x̄
σ
n
95% half-width
5.3677
More about: Confidence Interval (z-based)
What it calculates
The “Confidence Interval (z-based)” calculator computes 95% half-width from 3 parameters: x̄, σ, n.
A core calculation for studying, engineering tasks, and checking solutions.
Example calculation
With parameters x̄ = 100, σ = 15, n = 30 the result is 5.37.
How to use
- Enter x̄, σ and n — each field above is adjustable with a slider.
- 95% half-width is calculated automatically as you type.
- Check the worked example below to see the formula applied to real numbers.
- Copy the result or bookmark this calculator.
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FAQ
How is Confidence Interval (z-based) calculated?
The Confidence Interval (z-based) calculator computes 95% half-width from x̄, σ, n. Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Confidence Interval (z-based) calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.
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