Refer to the following list of numbers of years that U.S. presidents, popes, and British monarchs lived after their inauguration, election, or coronation, respectively. (As of this writing the last president is Gerald Ford, the last pope is John Paul II, and the last British monarch is George VI.) Assume that the data are samples randomly selected from larger populations. Comparing Two Means? Treating the data as samples from larger populations, test the claim that there is a difference between the mean for presidents and the mean for British monarchs.

Solution 2CRE Step 1: Here we have to test that there is a difference between the mean for presidents and the mean for British monarchs, two samples of 38 presidents and 14 monarchs are considered. The data of numbers of years that U.S. presidents and British monarchs lived after their inauguration or coronation respectively are taken into account. Null hypothesis (H ): 0 The null hypothesis states that there is no significant difference between two variables. This can be written as H 0 1 = 02 Where, = T he mean longevity time of presidents after their inauguration. 1 2 T he mean longevity time of monarchs after the coronation.