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. 0² 0² +
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. 0² 0² +
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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![To construct a confidence interval for the difference between two population means μ₁-₂, 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.
(x₁-x₂) - Zc
<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 = $101,460, n₁ = 37, and o₁ = $9400; x₂ = $85,730, n₂ = 45, and 0₂ = $9390
Complete the 95% confidence interval for μ₁ −μ₂ below.
$<H₁-H₂ <$
(Round to the nearest dollar as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2efc1b7c-4803-4177-8fdb-49aa376782de%2F945548be-d6e0-453c-9c71-b5b53bc607cb%2Ft4ec9nu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:To construct a confidence interval for the difference between two population means μ₁-₂, 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.
(x₁-x₂) - Zc
<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 = $101,460, n₁ = 37, and o₁ = $9400; x₂ = $85,730, n₂ = 45, and 0₂ = $9390
Complete the 95% confidence interval for μ₁ −μ₂ below.
$<H₁-H₂ <$
(Round to the nearest dollar as needed.)
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