Carry out a simulation experiment using a statistical computer package or other software to study the sampling distribution of x‾ when the population distribution is lognormal with E[ln(X)] = 3 and V[ln(X)] =
a. Consider the four sample sizes n = 10, 20, 30, and 50, and in each case use 500 replications.
For which of these sample sizes does the x‾ sampling distribution appear to be approximately normal?