Refer to the following ages at inauguration of the elected presidents of the United States (from Data Set 15 “Presidents” in Appendix B). Test for randomness above and below the mean. Do the results suggest an upward trend or a downward trend?

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.