In: Statistics and Probability
A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are heights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts (a) and (b) below. Height left parenthesis cm right parenthesis of President Height (cm) of President 189 189 174 174 181 181 180 180 187 187 166 166 Height left parenthesis cm right parenthesis of Main Opponent Height (cm) of Main Opponent 177 177 189 189 170 170 166 166 180 180 180 180 a. Use the sample data with a 0.05 0.05 significance level to test the claim that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm.