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# Long description

The graph illustrates the comparison between the z-distribution and two t-distributions with different sample sizes. The blue curve represents the z-distribution (normal distribution), while the orange curve shows the t-distribution with a smaller sample size, and the green curve depicts the t-distribution with a larger sample size. As the graph indicates, the t-distribution with a smaller sample size has the thickest tails, reflecting greater variability. As the sample size increases, the t-distribution (green curve) becomes more similar to the z-distribution, which has the narrowest peak and the thinnest tails, demonstrating how t-distributions converge to the normal distribution as sample size grows.