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

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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.)
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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