(i) Given a random sample X1, ...,Xn obtain a 90% CI for the mean and then obtain a 90% bootstrap t interval and a

(i) Given a random sample X1, ...,Xn obtain a 90% CI for the mean μ and then obtain a 90% bootstrap t interval and a 90% percentile interval for the same parameter μ. In addition, obtain two bootstrap intervals (t and percentile) for μ using a 10% trimmed mean as a statistic. As your sample use a data set of size n = 20 generated from the N(1, 1) distribution. Use 2,000 bootstrap samples. Compare all intervals. (ii) Follow the same steps as in (i) with the only difference that the data will now be generated from the EXP(2) distribution. (iii) Compare results obtained in (i) and (ii).