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.) **Table: Archbishops and Monarchs Data**This table presents a comparison of two categories: Archbishops and Monarchs, across a series of numerical values. Each category is aligned with a set of figures, presumably representing specific quantitative data points relevant to each group.**Archbishops:**- Upper Row: 18, 16, 15, 16, 15, 3, 14, 19, 11, 15, 12, 9- Lower Row: 14, 13, 11, 15, 16, 17, 10, 14, 9, 4, 21, 17**Monarchs:**- The corresponding sequence of numbers: 11, 15, 13, 11, 18, 19, 16, 15, 13, 16, 15, 16The structure of the table allows for a direct comparison of the numerical data between Archbishops and Monarchs. Each pair of numbers shares the same vertical alignment, indicating a direct relationship or comparison within that segment of the dataset.

Given that: Archbishops 18, 16, 15, 16, 15, 3, 14, 19, 11, 15, 12, 9, 14, 13, 11, 15, 16, 17, 10,…

Answered: Listed below are the numbers of years…

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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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.)

**Table: Archbishops and Monarchs Data**

This table presents a comparison of two categories: Archbishops and Monarchs, across a series of numerical values. Each category is aligned with a set of figures, presumably representing specific quantitative data points relevant to each group.

**Archbishops:**
- Upper Row: 18, 16, 15, 16, 15, 3, 14, 19, 11, 15, 12, 9
- Lower Row: 14, 13, 11, 15, 16, 17, 10, 14, 9, 4, 21, 17

**Monarchs:**
- The corresponding sequence of numbers: 11, 15, 13, 11, 18, 19, 16, 15, 13, 16, 15, 16

The structure of the table allows for a direct comparison of the numerical data between Archbishops and Monarchs. Each pair of numbers shares the same vertical alignment, indicating a direct relationship or comparison within that segment of the dataset.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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