Z-test of a Mean by GeoGebra Team

①This example demonstrates how to perform a Z-test for a population mean, allowing users to input sample mean, population standard deviation, sample size, and significance level to visualize the test statistic, critical values, and p-value, and decide whether to reject the null hypothesis. ②Core mathematical concepts include hypothesis testing, standard normal distribution, Z-statistic, significance level, critical region, and p-value. ③Construction notes: Although no specific GeoGebra commands are provided in the abstract, typical construction involves using sliders to adjust parameters, input boxes for data entry, plotting the standard normal density curve (function), marking critical values (points), and shading the rejection region (integral or polygon). ④Suitable for high school or college statistics courses, this interactive tool helps students understand the steps and interpretation of Z-tests, and can be used for classroom demonstrations or self-directed exploration.