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
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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
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
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman