Generate a Normal distribution problem with N = 3,000, Mean = 200, and Std dev = 40. set.seed=6359 From this population, select a random sample of size n = 150. set.seed=6359 In this sample, find the proportion of the numbers which are > 215. This is p-hat. a. Calculate std error of the sample proportion. Also calculate the z-score for a Confidence level of 92.7 b. Use the above information to compute the confidence interval (Use the formula we've discussed) c. Find the actual proportion of numbers 2 215 in the population. d. Does it fall within the Confidence interval you created