T-Test Calculator

Perform one-sample t-test to compare sample mean against hypothesized population mean.

Sample Mean (x̄)

Hypothesized Mean (μ₀)

Sample Std Dev (s)

Sample Size (n)

T-Statistic

Degrees of Freedom

Standard Error

Approximate P-Value

Note: Use t-table for exact p-value

Step-by-step solution

Formula

t = (x̄ − μ₀) / (s / √n)

x̄ = sample mean
μ₀ = hypothesized mean
s = sample standard deviation
n = sample size
df = n − 1

Related Calculators

Pro Tips

Degrees of freedom = n − 1. More df means a more precise estimate of the population standard deviation.

For exact p-values, look up your t-statistic and df in a t-distribution table or use statistical software.