nation ol a nut s nole plably probability that the screw will not fit. Suppose that n= 20 and s = 0.008 millimeter. a. Reject Ho. There is evidence to conclude that the true variance exceeds 0.0001 at = 0.05 v Indicate the parameter of interest Is there strong evidence to indicate that the standard deviation of hole diameter exceeds 0.01 millimeter? b. Variance of the hole diameter Use a = 0.05. Perform a hypothesis test. Ho: o = 0.0001 vs. H1 : o²>0.0001 c. Bz0.18 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)? d. Fail to reject Ho. There is insufficient evidence to conclude that the true variance Use the OC curve below in determining ß exceeds 0.0001 at a = 0.05 1.00 e. ß= 0.30 0.80 f. The power of the test would decrease if the sample size is increased g. The power of the test would increase if the sample size is increased 0.60 0.40 0.20 1.0 2.0 3.0 4.0 How would increasing the sample size affect the power of the test of detecting the variance of hole diameter really exceed 0.0001? y of accepting H

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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.
a. Reject Ho. There is evidence to conclude that the true variance exceeds 0.0001 at a
= 0.05
v Indicate the parameter of interest
Is there strong evidence to indicate that the standard deviation of hole diameter exceeds 0.01 millimeter? b Variance of the hole diameter
Use a = 0.05. Perform a hypothesis test. Ho: o = 0.0001 vs. H1 : o > 0.0001
c. Bz0.18
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)?
d. Fail to reject Ho. There is insufficient evidence to conclude that the true variance
exceeds 0.0001 at a = 0.05
Use the OC
ve below in determining B
е. В3D 0.30
1.00
f. The power of the test would decrease if the sample size is increased
0.80
The
power of the test would increase if the sample size is increased
g.
0.60
n = 2
0.40
4
0.20
2.0
3.0
4.0
1.0
How would increasing the sample size affect the power of the test of detecting the variance of hole
diameter really exceed 0.0001?
Probability of accepting Ho
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. a. Reject Ho. There is evidence to conclude that the true variance exceeds 0.0001 at a = 0.05 v Indicate the parameter of interest Is there strong evidence to indicate that the standard deviation of hole diameter exceeds 0.01 millimeter? b Variance of the hole diameter Use a = 0.05. Perform a hypothesis test. Ho: o = 0.0001 vs. H1 : o > 0.0001 c. Bz0.18 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)? d. Fail to reject Ho. There is insufficient evidence to conclude that the true variance exceeds 0.0001 at a = 0.05 Use the OC ve below in determining B е. В3D 0.30 1.00 f. The power of the test would decrease if the sample size is increased 0.80 The power of the test would increase if the sample size is increased g. 0.60 n = 2 0.40 4 0.20 2.0 3.0 4.0 1.0 How would increasing the sample size affect the power of the test of detecting the variance of hole diameter really exceed 0.0001? Probability of accepting Ho
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