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 distribut 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 measureme 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 #µ2 O B. Ho: H1 =42 H1: H1> H2 H: H1 # H2 c. Họ: H1 =42 O D. Ho: H1 S H2 H1: H1> H2 The test statistic is. (Round to two decimal places as needed.)

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find the test statisitic

find the p value

State the conclusion for the test.
 
A. Reject the null hypothesis. There is sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs.
 
B. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs.
 
C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs.
D. 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 distributec
populations. Do not assume that the population standard deviations are equal. Use a .05 significance level to test the claim that the mean longevity for archbishops is less than the mean for monarchs after coronation. All measurement
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.
A. Ho: H1 # H2
H1: H1> H2
B. Ho: H1 = H2
H1: H1 # H2
C. Ho: H1 = H2
H1: H1 <H2
D. Ho: H1 SH2
H1: 41 > H2
The test statistic is
(Round to two decimal places as needed.)
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 distributec populations. Do not assume that the population standard deviations are equal. Use a .05 significance level to test the claim that the mean longevity for archbishops is less than the mean for monarchs after coronation. All measurement 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. A. Ho: H1 # H2 H1: H1> H2 B. Ho: H1 = H2 H1: H1 # H2 C. Ho: H1 = H2 H1: H1 <H2 D. Ho: H1 SH2 H1: 41 > H2 The test statistic is (Round to two decimal places as needed.)
Longevities of Archbishops and Monarchs
18
Archbishops
15
16
15
18
3
15
19
10
13
10
9.
16
11
11
12
17
18
9.
9.
17
14
Monarchs
18
17
13
13
17
19
16
18
15
20
19
18
Print
Done
O 500
Transcribed Image Text:Longevities of Archbishops and Monarchs 18 Archbishops 15 16 15 18 3 15 19 10 13 10 9. 16 11 11 12 17 18 9. 9. 17 14 Monarchs 18 17 13 13 17 19 16 18 15 20 19 18 Print Done O 500
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