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 0.01 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. OB. H: ₁₂ OA. H: ₂ H₁: Hy #₂ H₂: Hy > H₂ OC. H₂H₁ H₂ H₁: Hy

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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 0.01 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.
OB. Ho: H₁ H₂
OA. Ho: H₁ H₂
H₁: H₁ H₂
H₁ H1
H₂
OC. Ho: H₁ H₂
H₁: H1 <H₂
(Round to two decimal places as needed.)
(Round to three decimal places as needed.)
C
The test statistic is
The P-value is
State the conclusion for the test.
OD. Ho: H₁ H¹₂
H₁: H1> H₂
O A. Reject the null hypothesis. There is sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs.
O B. Reject the null hypothesis. There is not sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs.
O C. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs.
O D. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs.
Longevities of Archbishops and Monarchs
15 17
Archbishops 16 12
Monarchs 17 20
14
11
14
14 17 1
16
11 14
13 16
15
Print
14
17
10
15
15 15
Done
8
9
13
15
0
14
14
15
20
Q
12 D
13
18
- X
Transcribed Image Text:5 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 0.01 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. OB. Ho: H₁ H₂ OA. Ho: H₁ H₂ H₁: H₁ H₂ H₁ H1 H₂ OC. Ho: H₁ H₂ H₁: H1 <H₂ (Round to two decimal places as needed.) (Round to three decimal places as needed.) C The test statistic is The P-value is State the conclusion for the test. OD. Ho: H₁ H¹₂ H₁: H1> H₂ O A. Reject the null hypothesis. There is sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs. O B. Reject the null hypothesis. There is not sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs. O C. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs. O D. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs. Longevities of Archbishops and Monarchs 15 17 Archbishops 16 12 Monarchs 17 20 14 11 14 14 17 1 16 11 14 13 16 15 Print 14 17 10 15 15 15 Done 8 9 13 15 0 14 14 15 20 Q 12 D 13 18 - X
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