# Define degrees of freedom in the context of t-tests. The t test is used to c

Define degrees of freedom in the context of t-tests.
The t test is used to check if the averages of two groups are statistically different from each other or not. Moreover, the significant difference between the two groups can be analysed using t test. It is used the sample size is small and population variances are unknown and the populations are normally distributed.
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Step 1
Determine the degrees of freedom in the context of t -test.
T test:
The t test is used to check if the averages of two groups are statistically different from each other or not. Moreover, the significant difference between the two groups can be analysed using t test. It is used the sample size is small and population variances are unknown and the populations are normally distributed.
The formula of test statistic for one sample t test is,
$t=\frac{\stackrel{―}{x}-\mu }{\frac{\sigma }{\sqrt{n}}}$
Where,
$\stackrel{―}{x}$: Sample mean
$\mu$: Population mean
s: Sample standard
n: Sample size
Step 2
The degrees of freedom in the context of t-tests is determined below:
Degrees of freedom:
When estimating the statistical parameters in an experiment, the number of data points or the observations in the dataset that are free to vary are termed as degrees of freedom.
$df=n-1$