StatisticsHypothesis Testing

One-Sample T-Test

Test a population mean μ when the population standard deviation σ is unknown. Uses the t-distribution with n−1 degrees of freedom.

Live Calculator · Step-by-Step · Statistics

Inputs

Sample Mean (x̄)

Null Hypothesis Mean (μ₀)

Sample Std Dev (s)

Sample Size (n)

Significance Level (α)

Tail

Results

T-Statistic

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P-Value

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Critical Value t*

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Degrees of Freedom

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Decision

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Step-by-Step

T-Distribution — One-Sample T-Test Visualization

One-on-one Statistics tutoring makes t-distributions, degrees of freedom, and p-values clear.