Each of the distributions below could be used to model the timespent studying for an exam. Take one random sample of size 25 fromeach of the distributions below. Then, take 1,000 resamples (i.e.,sample with replacement) of size 25 from your sample. In each case(a,b,c), plot the empirical distribution of the sample mean,estimate the mean of the sample mean, and estimate the standarddeviation of the sample mean. Compare the results to thetheoretical results.
a. N(5, 1.52)
b. Unif(0,10)
c. Gamma(5,1)
