Confidence Interval Calculator

Confidence Interval Calculator uses a transparent formula and clearly labeled inputs to produce a shareable planning estimate with cited official references and stated assumptions. The calculator evaluates the displayed relationship Interval = mean ± z × sd ÷ √n; it does not insert an undisclosed rate, conversion, forecast, or adjustment. Its input set is mean, sd, n, and z. The worked starting scenario uses mean = 100, sd = 15, n = 100, and z = 1.96, which is only an editable example and not a recommendation. Enter each quantity in the unit printed beside its field, because a correct equation still produces a misleading result when units or percentage conventions are mixed. To understand sensitivity, hold every field except one constant and compare the new output with the baseline. That makes the effect of mean visible without confusing it with a simultaneous change to z. The result is rounded for display after the calculation, so small differences from another tool can come from precision, input definitions, or a different formula. This page is a focused model of Interval = mean ± z × sd ÷ √n, not a substitute for missing eligibility rules, taxes, fees, clinical judgment, building requirements, or contractual terms. Only the values shown are included. For verification, the method and terminology are checked against Mathematical statistics resources from National Institute of Standards and Technology; review that source for definitions, limits, and exceptions that may apply outside this simplified calculation. The server-rendered GET form keeps a completed scenario reviewable from its URL, including when JavaScript is unavailable.