Question: (10 points) Mary is working on a simulation model for the annual earnings of his startup company. After simulating the annual earnings for a pilot sample size n = 200, she obtains a sample mean of $90,546 and a sample standard deviation of $20,177. Suppose that she wants to construct a confidence interval for the true mean of the annual earnings. What is the sample size she would need so that the sample mean would be within $500 of the true mean with 95% confidence?