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 X< 11.5 kilograms? b. Find ß for the case in which the true mean elongation is 11.25 kilograms. c. Find B for the case in which 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 four specimens. a. What is the type I error probability if the critical region is defined as X< 11.5 kilograms? b. Find ß for the case in which the true mean elongation is 11.25 kilograms. c. Find B for the case in which 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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