Normal distribution problems: Empirical rule

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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?

Normal distribution (Gaussian distribution)