MATH / TWO-SAMPLE STATISTICS

Two Mean Z Statistic Calculator

Compare two independent means when both population standard deviations are known. Inspect the equation, substituted values, result, and interpretation limits in one guided workspace.

01 Calculated in this tab
02 Values stay in this browser tab
03 Use boundary

Use boundary

Calculation path

Compare two independent means when both population standard deviations are known. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

z=(x1-x2)/sqrt(sigma1^2/n1+sigma2^2/n2)

What you provide

First sample mean, using the same scenario as the other inputs
First population standard deviation, using the same scenario as the other inputs
First sample size, using the same scenario as the other inputs
Second sample mean, using the same scenario as the other inputs
Second population standard deviation, using the same scenario as the other inputs
Second sample size, using the same scenario as the other inputs

What you receive

Two-mean z statistic from the stated equation
A symbolic formula plus substituted working with your values
Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

Interpret the result only when sampling, independence, measurement, and distribution assumptions fit the data.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

OpenStax Introductory Statistics 2e

Two Mean Z Statistic Calculator

Calculation path

What you provide

What you receive

Choose the maximum decimal places shown. This does not increase source accuracy.

Reviewed reference factors

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