Heights of Presidents A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed below are heights (cm) of presidents along with the heights of their main opponents.

a. Use the sample data with a 0.05 significance level to test the claim that for the population of heights of presidents and their main opponents, the differences have a mean greater than 0 cm (so presidents tend to be taller than their opponents).

b. Construct the confidence interval that could be used for the hypothesis test described in part (a).
What feature of the confidence interval leads to the same conclusion reached in part (a)?
Height (cm) of President 185 178 175 183 193 173 Height (cm) of Main Opponent 171 180 173 175 188 178