Listed below are the numbers of years that archbishops and monarchs in a certain country lived after their election or coronation. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Use a 0.05 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. E Click the icon to view the table of longevities of archbishops and monarchs. -.... 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 mona O A. Ho: H1 #2 H,:Hq> H2 O B. Ho: H1 SH2 H,: Hy> H2 OD H.

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Identify the test statistic

p-value 

Listed below are the numbers of years that archbishops and monarchs in a certain country lived after their election or coronation. Assume that the two samples are
independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Use a 0.05
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.
Click the icon to view the table of longevities of archbishops and monarchs.
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.
O A. Ho: H1 #H2
H1: Hy> H2
O B. Ho: H1S H2
H1: Hy> H2
C. Ho: H1 = H2
H1: H1 <H2
D. Ho: H1 = H2
H1: H1 # H2
Longevities of archbishops and monarchs
17
Archbishops
16
14
15
16
1
14
20
10
12
14
9.
12
13
15
12
16
18
10
15
10
4
18
13
Monarchs
15
17
13
11
17
19
19
18
12
18
19
16
Print
Done
Transcribed Image Text:Listed below are the numbers of years that archbishops and monarchs in a certain country lived after their election or coronation. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Use a 0.05 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. Click the icon to view the table of longevities of archbishops and monarchs. 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. O A. Ho: H1 #H2 H1: Hy> H2 O B. Ho: H1S H2 H1: Hy> H2 C. Ho: H1 = H2 H1: H1 <H2 D. Ho: H1 = H2 H1: H1 # H2 Longevities of archbishops and monarchs 17 Archbishops 16 14 15 16 1 14 20 10 12 14 9. 12 13 15 12 16 18 10 15 10 4 18 13 Monarchs 15 17 13 11 17 19 19 18 12 18 19 16 Print Done
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