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

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
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.
- v Indicate the parameter of interest
a. The power of the test would increase if the sample sizé is
increased
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. He o-0.0001 va. H. :o>0.0001
b. Fail to reject Họ. There is insufficient evidence to conclude that
the true variance exceeds 0.0001 at a = 0.05
v Suppose that the actual standard deviation of hole diameter exceeds the hypothesized value by 50%. What
is the probability that this difference will be detected by the test described in part (a)?
C. B= 0.30
Use the OC curve below in determining B
1.00
d. Variance of the hole diameter
0.80
e. Reject Ho. There is evidence to conclude that the true variance
060
exceeds 0.0001 at a = 0.05
040
f. The power of the test would decrease if the sample size is
increased
0.20
g. Bz0.18
1.0
3.0
How would increasing the sample size affect the power of the test of detecting the variance of hole
diameter really exceed 0.00017
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. - v Indicate the parameter of interest a. The power of the test would increase if the sample sizé is increased 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. He o-0.0001 va. H. :o>0.0001 b. Fail to reject Họ. There is insufficient evidence to conclude that the true variance exceeds 0.0001 at a = 0.05 v Suppose that the actual standard deviation of hole diameter exceeds the hypothesized value by 50%. What is the probability that this difference will be detected by the test described in part (a)? C. B= 0.30 Use the OC curve below in determining B 1.00 d. Variance of the hole diameter 0.80 e. Reject Ho. There is evidence to conclude that the true variance 060 exceeds 0.0001 at a = 0.05 040 f. The power of the test would decrease if the sample size is increased 0.20 g. Bz0.18 1.0 3.0 How would increasing the sample size affect the power of the test of detecting the variance of hole diameter really exceed 0.00017
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar 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