What is the difference between a z-score and a t-score?

What is the difference between a z-score and a t-score?

A z-score indicates how many standard deviations an element is from the mean, while a t-score is used for smaller sample sizes.

When should I use a t-score instead of a z-score?

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

Can you give me an example of when to use each?

Sure! Use a z-score when analyzing a large dataset with a known population standard deviation, like test scores. Use a t-score for a small sample, like measuring the heights of a few plants.

What are the formulas for calculating them?

The z-score formula is (X - μ) / σ, and the t-score formula is (X - x̄) / (s/√n), where X is the value, μ is the population mean, x̄ is the sample mean, s is the sample standard deviation, and n is the sample size.