One sample t-Test Calculator
To calculate a one-sample t test online, simply select a metric variable and enter the test value, then a one-sample t test will be calculated automatically.
One sample t-Test
A one-sample t-test is a statistical hypothesis test that is used to determine if the mean of a single sample is significantly different from a known or hypothesized population mean. It is a commonly used test when you want to compare the mean of a sample to a specific value.
The hypothesis for a one-sample t-test can be stated as follows:
- Null hypothesis (H0): The mean of the sample is equal to the population mean.
- Alternative hypothesis (H1): The mean of the sample is significantly different from the population mean.
The test calculates the t-value, which measures the difference between the sample mean and the population mean in terms of standard error units. It also calculates the p-value, which indicates the probability of obtaining the observed difference or a more extreme difference if the null hypothesis is true.
To perform a one-sample t-test, you need the following information:
- Sample data: The data collected from a single sample, usually a numerical variable.
- Population mean: The known or hypothesized mean of the population you want to compare the sample to.
If the p-value is below a predetermined significance level (commonly 0.05), the null hypothesis is rejected, suggesting that there is a significant difference between the sample mean and the population mean. If the p-value is above the significance level, the null hypothesis is not rejected, indicating that there is insufficient evidence to conclude a significant difference.