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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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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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