Stat Tools

1-Sample Z-Test

Test whether a population mean equals a hypothesised value when the population standard deviation is known.

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When to Use

Use the 1-Sample Z-Test when you know the population standard deviation (σ) and want to test whether the population mean equals a specific value. This is common in Measure phase when historical process data provides a reliable σ estimate.

If σ is unknown, use the 1-Sample t-Test instead. The Z-test is most reliable for n ≥ 30 or when the population is known to be normal.

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