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Let a₁0, a₂ > 0, with a₁ + α₂ = α. Then Χ - P -Zai < μ < Zaz = 1 − σ/√n a. Use this equation to derive a more general expres- sion for a 100(1α)% CI for μ of which the inter- val (7.5) is a special case. b. Let a = .05 and α₁ = α/4, α₂ = 3a/4. Does this result in a narrower or wider interval than the interval (7.5)? A 100(1 - a)% confidence interval for the mean μ of a normal population when the value of σ is known is given by (ε x - Za/2 xx + 2α/2 √n or, equivalently, by x±za σ/√n. ( (7.5)

Let a₁0, a₂ > 0, with a₁ + α₂ = α. Then Χ - P -Zai < μ < Zaz = 1 − σ/√n a. Use this equation to derive a more general expres- sion for a 100(1α)% CI for μ of which the inter- val (7.5) is a special case. b. Let a = .05 and α₁ = α/4, α₂ = 3a/4. Does this result in a narrower or wider interval than the interval (7.5)? A 100(1 - a)% confidence interval for the mean μ of a normal population when the value of σ is known is given by (ε x - Za/2 xx + 2α/2 √n or, equivalently, by x±za σ/√n. ( (7.5)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Let a₁0, a₂ > 0, with a₁ + α₂ = α. Then Χ - P -Zai < μ < Zaz = 1 − σ/√n a. Use this equation to derive a more general expres- sion for a 100(1α)% CI for μ of which the inter- val (7.5) is a special case. b. Let a = .05 and α₁ = α/4, α₂ = 3a/4. Does this result in a narrower or wider interval than the interval (7.5)?
Transcribed Image Text:Let a₁0, a₂ > 0, with a₁ + α₂ = α. Then Χ - P -Zai < μ < Zaz = 1 − σ/√n a. Use this equation to derive a more general expres- sion for a 100(1α)% CI for μ of which the inter- val (7.5) is a special case. b. Let a = .05 and α₁ = α/4, α₂ = 3a/4. Does this result in a narrower or wider interval than the interval (7.5)?
A 100(1 - a)% confidence interval for the mean μ of a normal population when the value of σ is known is given by (ε x - Za/2 xx + 2α/2 √n or, equivalently, by x±za σ/√n. ( (7.5)
Transcribed Image Text:A 100(1 - a)% confidence interval for the mean μ of a normal population when the value of σ is known is given by (ε x - Za/2 xx + 2α/2 √n or, equivalently, by x±za σ/√n. ( (7.5)
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