Listed below are the numbers of years that popes and British monarchs (since 1690) lived after their election or coronation. Treat the values as simple random samples from a larger population. 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.

Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Do the following:
a. Test the given claim using the P-value method or critical value method.
b. Construct a confidence interval suitable for testing the given claim.

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