(8 points) Someone claims that the random interval WA: 1 A/ captures 6 with probabil- ity approximately equal to 0.95. Create a simulation study in R to test this claim when 6 = 0.6. To do this, independently repeat the experiment that generates a realization of W1, . . . ,Wn and the corresponding realization of the random interval W :l: l/ a total of reps = 10000 times. Then report the observed sample proportion of the reps realiza- tions of this random interval that captured (9 = 0.6. Perform this simulation study when n : 35, 40, 55, 100, 200. Based on the simulation results, is the coverage probability of this random interval approximately equal to 0.95 for these values of n and 0