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