T Statistic Calculator

Calculate the t-statistic for a one-sample t-test. Input sample mean, population mean, sample standard deviation, and sample size to compute the t-value.

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How to use this tool?

This calculator computes the t-statistic for a one-sample t-test, used to compare a sample mean to a known population mean.

  1. Enter Sample Mean (x̄): The average value of your sample data.
  2. Enter Population Mean (μ): The known or hypothesized mean of the population.
  3. Enter Sample Standard Deviation (s): The standard deviation of your sample. Must be a positive number.
  4. Enter Sample Size (n): The number of observations in your sample. Must be an integer greater than 1.
  5. Click Calculate t.

The result shows the t-statistic and the formula breakdown. The formula used is:

t = (x̄ - μ) / (s / √n)

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Frequently Asked Questions

The t-statistic measures how far the sample mean deviates from the population mean in units of standard error. It is used in hypothesis testing.

t = (x̄ - μ) / (s / √n), where x̄ is sample mean, μ is population mean, s is sample standard deviation, and n is sample size.

You need the sample mean, population mean, sample standard deviation (positive), and sample size (integer > 1).

Reviewed by Experts

Eurico José Kiala

Eurico José Kiala

Mathematician

Teacher

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João Lino

João Lino

Mathematician

LinkedIn
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