Compare the means of two independent groups to determine if there is a statistically significant difference. Enter your data below to generate calculations, confidence intervals, and visualizations.
Enter raw numeric data points separated by commas, spaces, or new lines.
Unchecked: Welch's t-test (Recommended). Checked: Pooled t-test.
Enter data and click calculate to see the statistical conclusion.
Visualizes the estimated means (bars) and the 95% Confidence Interval (lines). If the intervals overlap significantly, the difference is less likely to be significant.
Shows the null hypothesis distribution (center). The shaded areas are the rejection regions. If the red line (your T-stat) falls in the shaded area, reject H₀.
We are 95% confident that the true difference between the population means lies between:
Note: If this interval includes 0, the difference is not statistically significant at this alpha level.
The t-test compares the actual difference between your two group means in relation to the variation in the data. Here is the breakdown using your current data.
Using Welch's approximation for unequal variances:
The t-statistic represents how many standard errors the difference between means is away from 0.
We compare the p-value (-) to your alpha level (-).