One Sample T-Test Calculator

One Sample t-test is used to check whether the population mean is statistically significantly different from a hypothesized value. For example : Ideal cholesterol level should be below 200. With the use of one-sample t-test we can examine if the average cholestrol level of the population is statistically different from 200.

In the calculation below you have two options - either to enter raw data or you can enter summary information which is required to calculate one sample t-test. Under raw data tab, you can enter values separated by comma, space, tab spaces or new line.

Enter Raw Data

Paste data below from MS Excel or Notepad. Sample X Hypothesized population mean ($ \mu_{0} $)

Enter Summary Data

Sample mean ($ \bar{x} $) Sample Standard Deviation (s) Sample Size (n) Hypothesized population mean ($ \mu_{0} $)

Solution

Step by Step Calculation

$$ s_{\bar{x}} = \frac{s}{\sqrt{n}} $$

$\mu_{0}$ : Hypothesized value
$\bar{x}$ : Sample mean
$n$ : Sample size
$s$ : Sample standard deviation
$s_{\bar{x}}$ : Estimated standard error of the mean

Assumptions of One Sample t-test

Data must be normally distributed
Sample must be picked randomly from population
Data must be continuous