12-

Over break I visited Zion National Park. Rather than spend my time hiking Angel's Landing, let's say I decided to find out how many miles the average visitor hikes during their visit. Assume at the visitor center I found out that previous studies indicate a population standard deviation of 6 miles.

I want to be 99% confident that the parameter I am estimating falls within a margin of error of 1 mile. How many hikers do I need to sample?