Young people have been trending towards less driving in the last few years. From 2015-2020 the annual vehicle miles by people from 16-34 years old decreased from 10,300 to 7,900 miles per person. The standard deviation is known to be 2,000 miles. You are asked to do current study related to annual miles driven by those 16-34 years old. The study needs to have 97% confidence in working with a margin of error of 100 miles. How large of a sample will you need for the study?