Confidence Interval Explorer

Simulate many samples and watch 95% confidence intervals capture the true mean about 95% of the time.

By Chenguang Pan.

mu = 60
sigma = 10
n = 30
95%
k = 10
ME = 3.58
$ME = t^* \cdot (s / \sqrt{n})$
0 / 0 (0.0%)
True mean is the dashed line

Repeated Confidence Intervals

Contains true mean Misses true mean

Sampling Distribution of the Mean

No sample means yet

Interpretation of the Last Draw

Notes

Each interval uses $\bar{x} \pm t^* \cdot (s / \sqrt{n})$ with $df = n - 1$. About the chosen confidence level of intervals should cross the true mean.