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T Distribution Simulator

Visualize degrees of freedom, t statistic, and tail behavior

Degrees of freedom
t statistic

T Distribution Rules

Example: df = 5 has visibly heavier tails than df = 100. This reflects extra uncertainty from estimating standard deviation in small samples.

Frequently Asked Questions

What is the t distribution?
The t distribution is a probability distribution used when estimating means with small samples and unknown population standard deviation.
What are degrees of freedom?
Degrees of freedom control the shape of the t distribution. More degrees of freedom make it closer to the normal distribution.
Why does the t distribution have heavier tails?
It accounts for extra uncertainty when the population standard deviation is estimated from sample data.
When is t distribution used?
It is commonly used for t-tests and confidence intervals for means when population standard deviation is unknown.

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