# One Sample t Test Calculator Run a one-sample t test from raw data or summary statistics, including p-value and confidence interval > Canonical page: https://elysiatools.com/en/tools/one-sample-t-test-calculator - **Category:** Math & Numbers - **Keywords:** one sample t test, t statistic, p value, confidence interval, hypothesis test, calculator ## Overview The One Sample t Test Calculator allows you to determine if the mean of a single sample significantly differs from a known or hypothesized population mean. You can input raw data values or summary statistics to instantly calculate the t-statistic, p-value, degrees of freedom, and evaluate the null hypothesis based on your chosen significance level. ## Inputs - **Data Values** (textarea): Enter values separated by commas, spaces, or new lines - **Sample Mean (Optional)** (number) - **Sample Standard Deviation (Optional)** (number) - **Sample Size (Optional)** (number) - **Hypothesized Mean** (number) - **Alternative Hypothesis** (select) - **Alpha** (number) - **Decimal Places** (number) ## When to use - When comparing a sample average to an established industry standard or historical baseline. - When you need to determine if a new process or intervention has significantly changed the mean outcome. - When verifying if a batch of manufactured products meets a specific target measurement. ## How it works - Enter your raw data values separated by commas, or input summary statistics including the sample mean, standard deviation, and sample size. - Specify the hypothesized population mean you want to test against. - Select the alternative hypothesis (two-sided, greater than, or less than) and set your alpha significance level. - The calculator computes the t-statistic, degrees of freedom, and p-value, indicating whether to reject the null hypothesis. ## Use cases - Quality control testing to ensure product weights match the advertised label. - Academic research comparing student test scores against a national average. - Business analytics evaluating if average customer satisfaction scores exceed a target benchmark. ## Frequently asked questions ### Can I use this calculator without raw data? Yes, you can leave the raw data field blank and input the sample mean, sample standard deviation, and sample size directly. ### What does the alpha value represent? Alpha is the significance level, typically set to 0.05. It represents the probability of rejecting the null hypothesis when it is actually true. ### How do I format raw data inputs? You can enter your raw data values separated by commas, spaces, or new lines in the Data Values text area. ### What is the difference between two-sided, greater, and less? A two-sided test checks for any difference from the hypothesized mean. 'Greater' or 'less' are one-sided tests checking if the sample mean is specifically higher or lower. ### What outputs does the calculator provide? 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