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.   a. The test statistic is ​(Round to two decimal places as​ needed.)   b. The​ P-value is ​(Round to three decimal places as​ needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 54E
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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 the claim that the mean longevity for archbishops is less than the mean for monarchs after coronation. All measurements are in years.

 

a. The test statistic is

​(Round to two decimal places as​ needed.)
 
b. The​ P-value is

​(Round to three decimal places as​ needed.)

917 16
12 21 15
15
4
16
11
9
13
19 14 15
14 10 16
3 17 19
15 16 18
16
15
11
15 11 13
16 13 15
18 14
11
Archbishops
Monarchs
Transcribed Image Text:917 16 12 21 15 15 4 16 11 9 13 19 14 15 14 10 16 3 17 19 15 16 18 16 15 11 15 11 13 16 13 15 18 14 11 Archbishops Monarchs
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