Question

Listed below are 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. Complete parts​ (a) and​ (b) below. All measurements are in years.

Archbishops   Monarchs
16   18
16   19
18   14
12   17
16   19
2   19
16   16
18   14
9   12
16   15
10   18
9   18
16   _
12   _
11   _
12   _
18   _
15   _
7   _
17   _
10   _
2   _
21   _
16   _

What is the test-statistic? t=

P-value? p=

b. Construct a confidence interval suitable for testing the claim that the mean longevity for archbishops is less than the mean for monarchs after coronation. find margin of error

If the confidence interval contains​ zero, then the difference

μ1−μ2 is not significantly large. If the confidence interval contains only positive​ values, then the difference μ1−μ2 is significant and​ positive, which indicates that μ1>μ2. If the confidence interval contains only negative​ values, then the difference μ1−μ2 is significant and​ negative, which indicates that μ1<μ2. Use this information to interpret the confidence interval and compare it to the conclusion of the hypothesis test.

Answer 1

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