Longevity Listed below are the numbers of years that popes and British monarchs (since 1690) lived after

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Longevity Listed below are the numbers of years that popes and British monarchs (since 1690) lived after their election or coronation (based on data from Computer-Interactive Data Analysis, by Lunn and McNeil, John Wiley & Sons). Treat the values as simple random samples from a larger population.

a. Use a 0.01 significance level to test the claim that the mean longevity for popes is less than the mean for British monarchs after coronation.

b. Construct a confidence interval for testing the claim in part (a).

Popes: 2 9 21 3 6 10 18 11 6 25 23 6 2 15 32 25 11 8 17 19 5 15 0 26 Kings and Queens: 17 6 13 12 13 33 59 10 7 63 9 25 36 15

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