company wishes to test the hypothesis Hoμ = 12 against H₁ μ< 12, using a random sample of four specimens. (a) What is the type I error probability if the critical region defined as < 11.5 kilograms? (b) Find for the case in which the true mean elongation is 11.25 kilograms. (c) Find for the case in which the true mean is 11.5 kilograms.

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A textile fiber manufacturer is investigating a new drapery yarn, which the company claims
has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The
Transcribed Image Text:A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The
company wishes to test the hypothesis Ho μ = 12 against H₁ : µ < 12, using a random
sample of four specimens.
(a) What is the type I error probability if the critical region is defined as ☎ < 11.5 kilograms?
(b) Find for the case in which the true mean elongation is 11.25 kilograms.
(c) Find 3 for the case in which the true mean is 11.5 kilograms.
Transcribed Image Text:company wishes to test the hypothesis Ho μ = 12 against H₁ : µ < 12, using a random sample of four specimens. (a) What is the type I error probability if the critical region is defined as ☎ < 11.5 kilograms? (b) Find for the case in which the true mean elongation is 11.25 kilograms. (c) Find 3 for the case in which the true mean is 11.5 kilograms.
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