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 O.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 l error probability if the critical region is defined as I < 11.5 kilograms? The type l error probability is i 0.02275 (b) Find B for the case where the true mean elongation is 11.27 kilograms. ß = i (c) Find ß for the case where the true mean is 11.5 kilograms. i

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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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 O.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 l error probability if the critical region is defined as I < 11.5 kilograms?
The type l error probability is i 0.02275
(b) Find B for the case where the true mean elongation is 11.27 kilograms.
ß =
i
(c) Find ß for the case where the true mean is 11.5 kilograms.
i
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 O.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 l error probability if the critical region is defined as I < 11.5 kilograms? The type l error probability is i 0.02275 (b) Find B for the case where the true mean elongation is 11.27 kilograms. ß = i (c) Find ß for the case where the true mean is 11.5 kilograms. i
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,