T Score Calculator
Calculate the t-score for a sample mean compared to a population mean, including degrees of freedom and p-value approximation.
Published by:
isCalculator Editorial Team
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How to Use the T Score Calculator
This calculator computes the t-score and two-tailed p-value for a one-sample t-test. Follow these steps:
- Enter Sample Mean (x̄) – The average of your sample data (e.g., 105).
- Enter Population Mean (μ) – The known or hypothesized population mean (e.g., 100).
- Enter Sample Standard Deviation (s) – Must be a positive number (e.g., 15).
- Enter Sample Size (n) – Must be at least 2 (e.g., 30).
- Click "Calculate T Score" to see the result.
Output: The t-score and p-value (two-tailed) are displayed, along with degrees of freedom (n-1). The formula used is t = (x̄ - μ) / (s / √n).
All inputs accept decimal numbers. Ensure standard deviation is greater than zero and sample size is at least 2.
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Frequently Asked Questions
A t-score (t-statistic) is a ratio of the difference between a sample mean and a population mean to the standard error of the sample mean. It is used in hypothesis testing to determine if there is a significant difference.
Degrees of freedom (df) for a one-sample t-test is the sample size minus 1. It reflects the number of independent values that can vary in the calculation.
The p-value is approximated using the cumulative distribution function of the t-distribution. For a two-tailed test, it is 2 times the probability of obtaining a t-value as extreme as the observed one.
