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 4 specimens. Round your answers to 4 decimal places. (a) What is the type I error probability if the critical region is defined as ī< 11.5 kilograms? The type I error probability is (b) Find B for the case where the true mean elongation is 11.24 kilograms. (c) Find B for the case where the true mean is 11.5 kilograms.
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 4 specimens. Round your answers to 4 decimal places. (a) What is the type I error probability if the critical region is defined as ī< 11.5 kilograms? The type I error probability is (b) Find B for the case where the true mean elongation is 11.24 kilograms. (c) Find B for the case where the true mean is 11.5 kilograms.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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 Họ : µ = 12 against H1 : µ < 12, using a random sample of 4 specimens.
Round your answers to 4 decimal places.
(a) What is the type I error probability if the critical region is defined as I < 11.5 kilograms?
The type I error probability is
(b) Find B for the case where the true mean elongation is 11.24 kilograms.
(c) Find B for the case where the true mean is 11.5 kilograms.
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