Repeat Exercise 6 “Heights of Presidents” using all of the sample data from Data Set 15 “Presidents” in Appendix B.

Use the indicated Data Sets in Appendix B. The complete data sets can be found at www.TriolaStats.com. Assume that the paired sample data are simple random samples and the differences have a distribution that is approximately normal.

Data From Exercise 6:

A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are heights (cm) of presidents along with the heights of their main opponents (from Data Set 15 “Presidents”).

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.
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)?

Data Set 15: Presidents 

Data are from 38 presidents of the United States (first five rows shown here). Presidents who took office as the result of an assassination or resignation are not included. AGE is age in years at time of inauguration. DAYS is the number of days served as president. YEARS is the number of years lived after the first inauguration. HEIGHT is height (cm) of the president. HEIGHT OPP is the height (cm) of the major opponent for the presidency.