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       Monarchs14                       1213                       1815                       1513                       1717                       203                         1917                       1417                       149                         1612                       1310                       1912                       1615                         _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.

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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.

 

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