Normal distribution problems: Empirical rule

Standard normal distribution and the empirical rule (from ck12.org)

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Empirical Rule: Definition, Formula, and Example

Probability distributions from empirical data

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Plot the EDF (empirical distribution function) of the residuals... | Filo

SOLVED: 2. Simulate data from a normal distribution with a mean of zero (please choose the population variance yourself). Calculate the t-statistic and plot its empirical histogram. Overlay the theoretical probability density function of the t-distribution (with the correct degrees of freedom) and the standard normal distribution. Make this plot for each sample size of 20, 40, 60, and 80. What is your conclusion?