The numbers of years that archbishops and monarchs in a certain country lived after their election or coronation. Treat the values as simple random samples from larger populations. Use a 0.10...


The numbers of years that archbishops and monarchs in a certain country lived after their election or coronation. Treat the values as simple random samples from larger populations. Use a 0.10 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.


Archbishops       Monarchs
14                       12
13                       18
15                       15
13                       17
17                       20
3                         19
17                       14
17                       14
9                         16
12                       13
10                       19
12                       16
15                         _
15                         _
15                         _
15                         _
18                         _
18                         _
6                           _
17                         _
9                           _
0                           _
19                         _
15                         _


Use a 0.10 significance​ level, and test the claim that the mean longevity for archbishops is less than the mean for monarchs after coronation.


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.



The test statistic is



State the conclusion for the test.




Jun 10, 2022
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