Suppose a 95% symmetric t-interval is applied to estimate a mean, but the sample data are non-normal. then the probability that the confidence interval covers the mean is not necessarily equal to 0.95. use a monte carlo experiment to estimate the coverage probability of the t-interval for random samples of x2(2) data with sample size n 20. compute a monte carlo estimate of the standard normal by generating from the cdf, uniform compare your estimates with the normal cdf function pnorm. compute an estimate of the monte carlo estimate of (2), and a 95% confidence interval for (2)