4. In this exercise, we will do a simulation study of significance tests and confidence intervals for the popu- lation mean / for data sampled from a Normal population. Repeat the following steps 1000 times (Sample R Code provided at the end): 1. Simulate one sample of n = 12 random observations from a Normal(u = 25, 02 = 42). 2. Calculate x from the sample. Assume o = 4 to be known (so no need to calculate s). 3. Calculate a 95% confidence interval for u from the sample. 4. Save the confidence interval limits (lower and upper). 5. Calculate and save the p-value for testing Ho : M = 25. 6. Calculate and save the p-value for testing Ho : M = 27