Compare means calculator

One-sample t-test calculator

Test whether the sample mean differs significantly from a target baseline or SLA value, with t-statistic, degrees of freedom, p-value, and confidence interval.

Run this test live in StatLab npm i @statlab/core

When to use it

Use when comparing a single sample mean against a fixed numerical benchmark or theoretical mean.

Required Inputs

  • Sample numeric values
  • Null hypothesis mean (μ₀)
  • Confidence level
  • Alternative hypothesis

Mathematical Formula

t = (X̄ - μ₀) / (s / √n)

Reporting Cautions

  • Assumes sample observations are independent.
  • Heavy-tailed distributions may bias standard error estimates.

Code Snippets (Python, R, TypeScript)

Python (SciPy / Statsmodels) 
from scipy import stats
res = stats.ttest_1samp(sample, popmean=100.0)
print(f"t={res.statistic:.4f}, p={res.pvalue:.4f}")
R Language 
t.test(sample, mu = 100.0)
TypeScript (@statlab/core) 
import { tOneSamp } from '@statlab/core';
const result = tOneSamp(sample, { mu0: 100.0 });

Developer Use Cases & Production Integrations

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