Z-Test Calculator

Calculate the Z statistic and two-tailed p-value for a hypothesis test.

* Enter the sample mean ($ \bar{x} $), hypothesized population mean ($ \mu_0 $), population standard deviation ($ \sigma $), and sample size ($ n $).

Formula: $$ z = \frac{\bar{x}-\mu_0}{\sigma/\sqrt{n}}. $$

Step 1: Enter Parameters

Sample Mean, $ \bar{x} $:

e.g., 105

Population Mean, $ \mu_0 $:

e.g., 100

Population Standard Deviation, $ \sigma $:

e.g., 15

Sample Size, $ n $:

e.g., 30

Z-Test Result