Calculator Suite

T-Test Calculator

Statistical Hypothesis Testing

Perform one-sample, two-sample, and paired t-tests with comprehensive statistical analysis

Analysis Settings
Test Type Selection
Choose the appropriate t-test for your research question

One-Sample T-Test

Selected

Compare sample mean to a known value

Examples:

  • • Testing if average height differs from 170cm
  • • Checking if test scores differ from 75%

Two-Sample T-Test

Compare means of two independent groups

Examples:

  • • Comparing test scores between two classes
  • • Testing difference in sales between regions

Paired T-Test

Compare before/after or matched pairs

Examples:

  • • Before/after training scores
  • • Comparing performance of same subjects under different conditions
Test Configuration
Set up your statistical test parameters

The population mean you want to test against

Enter numeric values separated by commas, spaces, or line breaks

Educational Resources

T-Test Formulas
Mathematical formulas for different t-test types

One-Sample T-Test

t=xˉ−μ0s/nt = \frac{\bar{x} - \mu_0}{s / \sqrt{n}}

xˉ\bar{x} = Sample mean

μ0\mu_0 = Hypothesized mean

ss = Sample standard deviation

nn = Sample size

Two-Sample T-Test

t=x1ˉ−x2ˉsp1n1+1n2t = \frac{\bar{x_1} - \bar{x_2}}{s_p \sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}

sp=(n1−1)s12+(n2−1)s22n1+n2−2s_p = \sqrt{\frac{(n_1-1)s_1^2 + (n_2-1)s_2^2}{n_1+n_2-2}}

Pooled standard deviation

Paired T-Test

t=dˉsd/nt = \frac{\bar{d}}{s_d / \sqrt{n}}

dˉ\bar{d} = Mean of differences

sds_d = Standard deviation of differences

Understanding T-Tests

When to Use T-Tests

  • • One-sample: Compare sample mean to known value
  • • Two-sample: Compare means of independent groups
  • • Paired: Compare before/after or matched pairs

Key Assumptions

  • • Data should be approximately normal
  • • Observations must be independent
  • • For two-sample: equal variances assumed
  • • Random sampling from population

Interpreting Results

P-value: Probability of observing the result by chance

Effect size: Magnitude of the difference (Cohen's d)

Confidence interval: Range of plausible values

SEO Content Area

Professional statistical analysis tools with educational resources and step-by-step guidance

T-Test Calculator | Calculator Suite