You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately $\displaystyle \sigma={28.2}$. You would like to be 90% confident that your estimate is within 5 of the true population mean. How large of a sample size is required?

[Do not round mid-calculation. However, use a critical value rounded to three decimal places — this is important for the system to check answers correctly.]

n =