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 0.01 significance 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 nul and alternative hypotheses? Assume that population 1 consists of the longevity of archbishops and population 2 consists of the longevity of monarchs OA Ho: H SH2 B. Hg H"2 OC Ho H H2 OD. Ho HP The test statistic is (Round to two decimal places as needed) Longevities of Archbishops and Monarchs 18 12 12 13 17 12 13 18 17 3 18 10 18 10 12 16 13 13 18 17 13 Archbishops 14 15 14 18 13 Monarchs 17 16 11 16 17 19 13 16 19

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