3. (20 points) An automotive company states that the mean range of their electric vehicle on a full charge is 200 miles with a standard deviation of 10 miles. An independent research company thinks that the range is lower than 200 miles. The research company randomly samples 20 of these electric vehicles and finds the sample mean range on a full charge to be 196 miles. Test the research company's claim at the 1% significance level. Assume that the ranges for this electric vehicle are normally distributed