What is the difference between t-distribution and normal distribution?

What is the difference between t-distribution and normal distribution?

The t-distribution is used for smaller sample sizes and has heavier tails, while the normal distribution is used for larger samples.

Why would I use t-distribution instead of normal distribution?

You would use t-distribution when your sample size is small (typically less than 30) and the population standard deviation is unknown.

Can you explain the concept of degrees of freedom in t-distribution?

Degrees of freedom in t-distribution refer to the number of independent values that can vary in the calculation, often calculated as sample size minus one.

How do the shapes of t-distribution and normal distribution compare?

The t-distribution is similar to the normal distribution but has thicker tails, which means it accounts for more variability in smaller samples.

When does the t-distribution approach the normal distribution?

As the sample size increases, the t-distribution approaches the normal distribution, typically becoming indistinguishable at around 30 samples.