(Solved): Determine the sample size \( n \) needed to construct a \( 99 \% \) confidence interval to estimate ...

Determine the sample size \( n \) needed to construct a \( 99 \% \) confidence interval to estimate the population mean for the following margins of error when \( \sigma=81 \). a) 5 b) 8 c) 10 Click the icon to view a table of standard normal cumulative probabilities. a) \( n= \) (Round up to the nearest integer.)