This app allows users to explore interval estimation of the mean for small samples by adjusting sample size (n) from 5 to 30 and the level of confidence, then visualizing confidence intervals constructed using both normal and t-distributions through an animated graph.
Small sample confidence intervals only work for Gaussian random variables. Since we use the sample standard deviation we need to use a t-score. Let's investigate how badly we will underestimate the confidence interval if we use a normal distribution instead of a t-distribution. The z-score intervals will be in blue and the t-score intervals will be in green.
Choose a sample size and confidence level
Confidence Intervals containing the mean:
Samples per second: 1.0