Answered: O Longevities of Archbishops and…

Name: Below are the numbers of years that archbishops and monarchs and a cer
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Description: Below are the numbers of years that archbishops and monarchs and a certain country lived after their election or coronation. Treat the values a simple random sample is from larger populations. Use a 0.05 significance level to test the claim that the

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Below are the numbers of years that archbishops and monarchs and a certain country lived after their election or coronation. Treat the values a simple random sample is from larger populations. 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.

A. Use a 0.05 significance level, and test the claim that the mean longevity for archbishops is less than the main for monarchs after coronation. What are the Null and alternative hypotheses? Assuming that population one consists of the longevity of archbishops and population two consists of the longevity ofMonarchs.

The test statistic is?

O Longevities of Archbishops and Monarchs
18
14
12
13
16
15
17
18
17
15
13
13
14
13
14
18
11
12
10
23
13
16
19
Archbishops
16
16
19
18
13
19
14
13
13
19
Monarchs

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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