Exercise 5 - Monte Carlo Simulation for Heights

Now run a Monte Carlo simulation in which you compute 10,000 confidence intervals as you have just done. What proportion of these intervals include \(\mu\)?

Use the replicate function to replicate the sample code for B <- 10000 simulations. Save the results of the replicated code to a variable called res. The replicated code should complete the following steps: -1. Use the sample function to sample N values from x. Save the sampled heights as a vector called X. -2. Create an object called interval that contains the 95% confidence interval for each of the samples. Use the same formula you used in the previous exercise to calculate this interval. -3. Use the between function to determine if \(\mu\) is contained within the confidence interval of that simulation.
Finally, use the mean function to determine the proportion of results in res that contain mu.