To construct a confidence interval for the difference between two population means μ₁-H₂, 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) -Zc ₂
To construct a confidence interval for the difference between two population means μ₁-H₂, 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) -Zc ₂
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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![n₁ ≥ 30 and
To construct a confidence interval for the difference between two population means µ₁ −µ₂, use the formula shown below when both population standard deviations are known, and either both populations are normally distributed or both
n₂ ≥ 30. Also, the samples must be randomly selected and independent.
0²/0²/2
0²/0²/2
n₂
(x₁-x₂) - Zo
+
+
+Zc
<H1 - H₂ < (×₁ −×₂)
n₁
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 = $105,720, n₁ = 43, and ₁ = $9305; x₂ = $85,150, n₂ = 38, and σ₂ = $9300
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%2Ffcda2731-ebd9-4775-b731-24a6f5547ea5%2F4fd32061-9969-46ef-96c5-4bc79ea1d327%2Fzqn4f1b_processed.png&w=3840&q=75)
Transcribed Image Text:n₁ ≥ 30 and
To construct a confidence interval for the difference between two population means µ₁ −µ₂, use the formula shown below when both population standard deviations are known, and either both populations are normally distributed or both
n₂ ≥ 30. Also, the samples must be randomly selected and independent.
0²/0²/2
0²/0²/2
n₂
(x₁-x₂) - Zo
+
+
+Zc
<H1 - H₂ < (×₁ −×₂)
n₁
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 = $105,720, n₁ = 43, and ₁ = $9305; x₂ = $85,150, n₂ = 38, and σ₂ = $9300
Complete the 95% confidence interval for μ₁ −μ₂ below.
$ <H₁-H₂ <$
(Round to the nearest dollar as needed.)
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