Use our Confidence Interval Between Two Means Calculator to estimate the range within which the true difference between two population means lies. This crucial statistical tool helps researchers and students make informed decisions, whether comparing treatment groups or analyzing survey data with ease and precision. Get accurate results for your statistical analysis.
Formula:
The formula for the confidence interval for the difference between two population means (assuming known population standard deviations or large sample sizes, using the Z-distribution) is:
(x̄₁ - x̄₂) ± Zα/₂ × √((s₁²/n₁) + (s₂²/n₂))
Where:
x̄₁: Sample Mean of Group 1x̄₂: Sample Mean of Group 2s₁: Sample Standard Deviation of Group 1s₂: Sample Standard Deviation of Group 2n₁: Sample Size of Group 1n₂: Sample Size of Group 2Zα/₂: The Z-score (critical value) corresponding to the desired confidence level