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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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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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.)
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.)
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