Homework Help is Here – Start Your Trial Now!
Math
Statistics
If the standard deviation of a nut's hole diameter exceeds 0.01 millimeters, there is an unacceptably high probability that the screw will not fit. Suppose that n= 20 and s = 0.008 millimeter. %3D

If the standard deviation of a nut's hole diameter exceeds 0.01 millimeters, there is an unacceptably high probability that the screw will not fit. Suppose that n= 20 and s = 0.008 millimeter. %3D

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

s6

If the standard deviation of a nut's hole diameter exceeds 0.01 millimeters, there is an unacceptably high probability that the screw will not fit. Suppose that n= 20 and s = 0.008 millimeter. Indicate the parameter of interest a. B = 0.30 а. b. Variance of the hole diameter Is there strong evidence to indicate that the standard deviation of hole diameter exceeds 0.01 millimeter? Use a-0.05. Perform a hypothesis test. H: o- 0.0001 vs. Hi : o >0.0001 c. Fail to reject Ho. There is insufficient evidence to conclude that the Suppose that the actual standard deviation of hole diameter excoods the hypothesized value by 50%. What is the probability that this difference will be detected by the test described in part (a)? true variance exceeds 0.0001 at a = 0.05 Use the OC curve below in determiningB d. Bz0.18 L00 e. The power of the test would decrease if the sample size is increased f. Reject Ho. There is evidence to conclude that the true variance exceeds 0.0001 at a = 0.05 0.40 g. The power of the test would increase if the sample size is increased 0.20 1.0 2.0 How would increasing the sample size affect the power of the test of detecting the variance of hole diameter really exceed 0.0001? L00
Transcribed Image Text:If the standard deviation of a nut's hole diameter exceeds 0.01 millimeters, there is an unacceptably high probability that the screw will not fit. Suppose that n= 20 and s = 0.008 millimeter. Indicate the parameter of interest a. B = 0.30 а. b. Variance of the hole diameter Is there strong evidence to indicate that the standard deviation of hole diameter exceeds 0.01 millimeter? Use a-0.05. Perform a hypothesis test. H: o- 0.0001 vs. Hi : o >0.0001 c. Fail to reject Ho. There is insufficient evidence to conclude that the Suppose that the actual standard deviation of hole diameter excoods the hypothesized value by 50%. What is the probability that this difference will be detected by the test described in part (a)? true variance exceeds 0.0001 at a = 0.05 Use the OC curve below in determiningB d. Bz0.18 L00 e. The power of the test would decrease if the sample size is increased f. Reject Ho. There is evidence to conclude that the true variance exceeds 0.0001 at a = 0.05 0.40 g. The power of the test would increase if the sample size is increased 0.20 1.0 2.0 How would increasing the sample size affect the power of the test of detecting the variance of hole diameter really exceed 0.0001? L00
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS