To construct a confidence interval for the difference between two population means ₁-₂, use the formula shown below when both population standard deviations are known, and either both populations are normally distributed or both n₁ 230 and n₂ 2 30. Also, the samples must be randomly selected and independent. 0₁ 0₂ (x₁-x2)-20₁7
To construct a confidence interval for the difference between two population means ₁-₂, use the formula shown below when both population standard deviations are known, and either both populations are normally distributed or both n₁ 230 and n₂ 2 30. Also, the samples must be randomly selected and independent. 0₁ 0₂ (x₁-x2)-20₁7
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
14

Transcribed Image Text:To construct a confidence interval for the difference between two population means ₁-₂, use the formula shown below when both population standard deviations are known, and either both populations are normally distributed
or both n₁ ≥ 30 and n₂ ≥ 30. Also, the samples must be randomly selected and independent.
0² 0²
(x₁-x₂)-20
<H₁-H₂ < (x₁-x₂) +Zc
n₁ n₂
n₁ n₂
The descriptive statistics for the annual salaries from a random sample of microbiologists from two regions are shown below. Construct a 95% confidence interval for the difference between the mean annual salaries.
x₁ = $106,720, n₁ = 40, and ₁ = $8560; x₂ = $85,560, n₂ = 35, and σ₂ = $8555
Complete the 95% confidence interval for μ₁ −μ₂ below.
$<H1-H₂ <$
(Round to the nearest dollar as needed.)
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman