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
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
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Publisher:Amos Gilat
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F539ff99a-15aa-481f-bb25-1d6495189ca2%2F89ad0e70-f65d-4285-ab16-e8fe2b3b3db5%2Fa9gudgm_processed.png&w=3840&q=75)
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
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