Calculate and graph the approximate density function for the sample mean for 100, 400 and 1600 trials. To do this, you must compute the mean at least 100 different times in each case (using different seeds) and then find an ppropriate interval for the density function of the means. Compute the mean and standard deviation of the means distribution. How does it relate to the mean and standard deviation of the Random Number Generator distribution? How do they change as a function of the sample size?
Please show all steps and explain (if you can post pictures of the plot and the commands, you'll get the full credit.)