Confidence Interval for a Single Mean - Interactive Demo

This GeoGebra example provides an interactive demonstration of constructing a confidence interval for a single population mean, allowing users to adjust sample size, standard deviation, and confidence level to see how the interval changes. The core mathematical concepts include sample mean, standard error, critical values from the t-distribution, confidence level, and the lower/upper bounds of the interval. The construction uses commands such as IndexOf, Segment, and Textfield to create input boxes and dynamic text, with objects like sdev, n, conf, xbar, margin, left, right, ciL, and ciR to compute and display the interval endpoints in real time. A visual representation on a number line helps illustrate the interval width. This resource is suitable for high school or introductory college statistics courses, aiding students in understanding the relationship between confidence level, sample size, and interval precision, as well as practicing statistical simulation and dynamic visualization with GeoGebra.