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: u = 12 against H;: u + 12, using a random sample of four specimens. | What is the type I error probability if the acceptance region is 11.4 s iS 126? a. P(Type I Error) = 0.0082 b.n 4 specimens c. Fail to reject Ho. The mean thread elongation is equal to 12 - v Ifa=0.05, would we need to reject the Ho? kilograms, per significance level of 0.05 and 4 specimens collected d. Cannot determine choice of sample size e. P(Type I error) = 0.0164 | Find ß for the case in which the true mean elongation is 12.70 kilograms f. Reject Ho. The mean thread elongation is not 12 kilograms Find n if the company wishes to detect that the mean throad elongation is not oqual to 12 kilograms at least S0% of the time &B = 0.6554 h. P(Type II Error) = 0.34
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: u = 12 against H;: u + 12, using a random sample of four specimens. | What is the type I error probability if the acceptance region is 11.4 s iS 126? a. P(Type I Error) = 0.0082 b.n 4 specimens c. Fail to reject Ho. The mean thread elongation is equal to 12 - v Ifa=0.05, would we need to reject the Ho? kilograms, per significance level of 0.05 and 4 specimens collected d. Cannot determine choice of sample size e. P(Type I error) = 0.0164 | Find ß for the case in which the true mean elongation is 12.70 kilograms f. Reject Ho. The mean thread elongation is not 12 kilograms Find n if the company wishes to detect that the mean throad elongation is not oqual to 12 kilograms at least S0% of the time &B = 0.6554 h. P(Type II Error) = 0.34
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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![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: µ = 12 against H1: µ # 12, using a random sample of four specimens.
What is the type I error probability if the acceptance region is 11.4 s iS 12.6? a. P(Type I Error) = 0.0082
b.n 4 specimens
c. Fail to reject Ho. The mean thread elongation is equal to 12
v If a = 0.05, would we need to reject the Ho?
kilograms, per significance level of 0.05 and 4 specimens collected
d. Cannot determine choice of sample size
| Find ß for the case in which the true mean elongation is 12.70 kilograms
e. P(Type I error) = 0.0164
Find n if the company wishes to detect that the moan thread elongation is not oqual to 12 kilograms at . Reject Họ. The mean thread elongation is not 12 kilograms
least 80% of the time
8.B = 0.6554
h. P(Type II Error) = 0.34](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a319eb7-2808-45d0-98ed-e4256932431d%2Fb5bbf8c1-68f0-4cb8-b12d-56090639bae1%2F1itt80o_processed.png&w=3840&q=75)
Transcribed Image Text: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: µ = 12 against H1: µ # 12, using a random sample of four specimens.
What is the type I error probability if the acceptance region is 11.4 s iS 12.6? a. P(Type I Error) = 0.0082
b.n 4 specimens
c. Fail to reject Ho. The mean thread elongation is equal to 12
v If a = 0.05, would we need to reject the Ho?
kilograms, per significance level of 0.05 and 4 specimens collected
d. Cannot determine choice of sample size
| Find ß for the case in which the true mean elongation is 12.70 kilograms
e. P(Type I error) = 0.0164
Find n if the company wishes to detect that the moan thread elongation is not oqual to 12 kilograms at . Reject Họ. The mean thread elongation is not 12 kilograms
least 80% of the time
8.B = 0.6554
h. P(Type II Error) = 0.34
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