A textile mill company is investigating a new drapery yarn, which the company claims have a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis Ho: u = 12 against H;: µ+ 12, using a random sample of four specimens.
A textile mill company is investigating a new drapery yarn, which the company claims have a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis Ho: u = 12 against H;: µ+ 12, using a random sample of four specimens.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A textile mill company is investigating a new drapery yam, which the company claims have 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 H;: µ # 12, using a random sample of four specimens.
v What is the type I error probability if the acceptance region is 11.4 < iS 12.6 ? a. P(Type I Error) = 0.0082
b.n z4 specimens
c. P(Type I error) = 0.0164
-v If a = 0.05, would we need to reject the H,?
d. P(Type II Error) = 0.34
v Find B for the case in which the true mean elongation is 12.70 kilograms
e, Cannot determine choice of sample size
f. Reject Ho. The mean thread elongation is not 12 kilograms
v Find n if the company wishes to detect that the mean thread elongation is not equal to 12 kilograms at g. B = 0.6554
least 80% of the time
h. Fail to reject Ho- The mean thread elongation is equal to 12 kilograms, per significance level
of 0.05 and 4 specimens collected
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