Design an experiment to obtain the coverage probability of confidence interval.

(1) Sample from Normal Population with mean mu and variance sigma^2
(2) Confidence level: 0.95 
(3) Sample size: 20 and 100
(4) Simulations: 200 and 1000
(5) Based on the definition of confidence interval, calculated the coverge probability for each experiment.

Attach your code, outcome table and interpret your result.