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 0.10 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. 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 monarchs. O A. Ho: H1 = H2 H1: H1 # H2 O B. Ho: H1 = H2 O C. Ho: H1 SH2 H1: 41> H2 O D. Ho: H1 # H2 H: H1 > H2 The test statistic is . (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test.

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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 0.10
significance level to test t
E Click the icon to viev
ts are in years.
Longevities of Archbishops and Monarchs
O C. Ho: H1 S H2
H:H1> H2
og
17
Archbishops
15
18
16
17
16
17
8
13
10
12 O
13
12
11
13
17
17
9
17
10
2
23
18
The test statistic is. (
Monarchs
12
20
13
13
18
16
20
15
13
19
19
18
The P-value is
(Rour
Print
Done
State the conclusion for t
O A. Fail to 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. 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.
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 0.10 significance level to test t E Click the icon to viev ts are in years. Longevities of Archbishops and Monarchs O C. Ho: H1 S H2 H:H1> H2 og 17 Archbishops 15 18 16 17 16 17 8 13 10 12 O 13 12 11 13 17 17 9 17 10 2 23 18 The test statistic is. ( Monarchs 12 20 13 13 18 16 20 15 13 19 19 18 The P-value is (Rour Print Done State the conclusion for t O A. Fail to 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. 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.
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 0.10
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.
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
B4.jpg
monarchs.
O B. Ho: H1 = H2
O A. Ho: H1= H2
H: H1 # H2
H;:H1 <H2
O C. Ho: H1 SH2
H1: H1> H2
O D. Ho: H1 # H2
H1:H1> H2
The test statistic is. (Round to two decimal places as needed.)
The P-value is . (Round to three decimal places as needed.)
State the conclusion for the test.
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 0.10 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. 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 B4.jpg monarchs. O B. Ho: H1 = H2 O A. Ho: H1= H2 H: H1 # H2 H;:H1 <H2 O C. Ho: H1 SH2 H1: H1> H2 O D. Ho: H1 # H2 H1:H1> H2 The test statistic is. (Round to two decimal places as needed.) The P-value is . (Round to three decimal places as needed.) State the conclusion for the test.
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