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 Hg: µ = 12 against H,i4 < 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 asI < I1.5 kilograms? The type l error probability is (b) Find ßfor the case where the true mean elongation is 11.28 kilograms. = (C) Find Bfor the case where the true mean is 11.5 kilograms. =

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A textile fiber manufacturer is investigating a newdrapery yarn, which the company claims has a mean thread elongation of 12
kilograms with a standard deviation of 0.5 kilograms. The companywishes to test the hypothesis Ho:u = 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 asa < I1.5 kilograms?
The type l error probability is
(b) Find ßfor the case where the true mean elongation is 11.28 kilograms.
ß = 1
(C) Find ßfor the case where the true mean is 11.5 kilograms.
Statistical Tables and Charts
Transcribed Image Text:A textile fiber manufacturer is investigating a newdrapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The companywishes to test the hypothesis Ho:u = 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 asa < I1.5 kilograms? The type l error probability is (b) Find ßfor the case where the true mean elongation is 11.28 kilograms. ß = 1 (C) Find ßfor the case where the true mean is 11.5 kilograms. Statistical Tables and Charts
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