Referring to Problem 1, test at the 5% level of significance: H₁: µ = 800 versus H₁ μ800. What is the power of the test at µ = 795 and at μ = 805? u

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
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Referring to Problem 1, test at the 5% level of significance: H0: μ = 800 versus H1:
μ != 800. What is the power of the test at μ = 795 and at μ = 805?

 

Question Referred too

An existing process used to manufacture paint yields daily batches that have been
fairly well established to be normally distributed with mean μ = 800 tons, σ = 30
tons. A modification of this process is suggested with the view of increasing production. Assume that the daily yields, using the modified process, are distributed
as N(μ,(30)2), and suppose that a sample taken on 100 randomly chosen days of
production using the modified process yields an average of X¯ = 812 tons. Test at the
1% level of significance H0: μ = 800 versus H1: μ > 800. What is the power of the
test at μ = 810? Graph the power function.

 

Referring to Problem 1, test at the 5% level of significance: H₁: µ = 800 versus H₁
μ800. What is the power of the test at µ = 795 and at μ = 805?
p
Transcribed Image Text:Referring to Problem 1, test at the 5% level of significance: H₁: µ = 800 versus H₁ μ800. What is the power of the test at µ = 795 and at μ = 805? p
An existing process used to manufacture paint yields daily batches that have been
fairly well established to be normally distributed with mean = 800 tons, o = 30
tons. A modification of this process is suggested with the view of increasing pro-
duction. Assume that the daily yields, using the modified process, are distributed
as N(μ, (30)2), and suppose that a sample taken on 100 randomly chosen days of
production using the modified process yields an average of X = 812 tons. Test at the
1% level of significance Ho: μ = 800 versus H₁: > 800. What is the power of the
test at µ = 810? Graph the power function.
Transcribed Image Text:An existing process used to manufacture paint yields daily batches that have been fairly well established to be normally distributed with mean = 800 tons, o = 30 tons. A modification of this process is suggested with the view of increasing pro- duction. Assume that the daily yields, using the modified process, are distributed as N(μ, (30)2), and suppose that a sample taken on 100 randomly chosen days of production using the modified process yields an average of X = 812 tons. Test at the 1% level of significance Ho: μ = 800 versus H₁: > 800. What is the power of the test at µ = 810? Graph the power function.
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