You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately $\displaystyle \sigma={57.6}$. You would like to be 98% confident that your esimate is within 0.5 of the true population mean. How large of a sample size is required?

n =



Do not round mid-calculation. However, use a critical value accurate to three decimal places — this is important for the system to be able to give hints for incorrect answers.