The t distribution is a non-symmetrical distribution that is useful for small sample testing.Select one:TrueFalse

The statement is False.

Explanation:

The t-distribution, also known as Student's t-distribution, is actually a symmetrical distribution that resembles the standard normal distribution but has heavier tails. It was developed to estimate population parameters when the sample size is small and the population standard deviation is unknown. As the sample size increases, the t-distribution approaches the normal distribution.

The key features of the t-distribution include:

1. Symmetry: It is symmetrical about its mean, which is zero.
2. Heavier Tails: It has fatter tails compared to the normal distribution, which makes it more suitable for handling outliers and providing more robust estimates.
3. Degrees of Freedom: The shape of the t-distribution varies based on the degrees of freedom, which are typically tied to the sample size (e.g., for $n$ samples, the degrees of freedom would be $n-1$).

Thus, the proper characterization of the t-distribution is crucial for effective statistical analysis when working with small sample sizes.