Listed below are the numbers of years that archbishops and monarchs in a certain country lived after their election or coronation. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Use a 0.10 signicance level to test the claim that the mean longevity for archbishops is less than the mean for monarchs after coronation. All measurements are in years. E Click the icon to view the table of longevities of archbishops and monarchs. What are the null and alternative hypotheses? Assume that population 1 consists of the longevity of archbishops and population 2 consists of the longevity of monarchs. A-mesh 'B-WHH=M HM>M vaP2 The test statistic is D. (Round to two decimal places as needed.) Enter your answer in o Longevities of Archbishops and Monarchs Archbishops Monarchs 18 13 15 16 13 20 17 13 16 15 15 15 15 18 18 3 17 19 11 14 1o 14 1o 18 1s 1s 13 12 0 19 14 16 17 13 a 16 16 Print Done