The standard deviation in the pressure required to open a certain valve is known to be σ=1.1 psi. Due to changes in the manufacturing process, the quality-control manager feels that the pressure variability has been reduced. (a) Determine the null and alternative hypotheses. (b) Explain what it would mean to make a Type I error. (c) Explain what it would mean to make a Type II error. (a) State the hypotheses.
The standard deviation in the pressure required to open a certain valve is known to be σ=1.1 psi. Due to changes in the manufacturing process, the quality-control manager feels that the pressure variability has been reduced. (a) Determine the null and alternative hypotheses. (b) Explain what it would mean to make a Type I error. (c) Explain what it would mean to make a Type II error. (a) State the hypotheses.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Question
The standard deviation in the pressure required to open a certain valve is known to be
σ=1.1
psi. Due to changes in the manufacturing process, the quality-control manager feels that the pressure variability has
been reduced.
(a)
|
Determine the null and alternative hypotheses.
|
(b)
|
Explain what it would mean to make a Type I error.
|
(c)
|
Explain what it would mean to make a Type II error.
|
(a) State the hypotheses.
H0:
sigmaσ
pp
sigmaσ
muμ
equals=
less than<
greater than>
equals=
not equals≠
H1:
sigmaσ
muμ
sigmaσ
pp
greater than>
equals=
not equals≠
greater than>
less than<
(Type integers or decimals. Do not round.)
(b) Which of the following is a Type I error?
The manager rejects the hypothesis that the pressure variability is
1.1,
when it is the true pressure variability.The manager rejects the hypothesis that the pressure variability is
1.1,
when the true pressure variability is
less
than
1.1.
The manager fails to reject the hypothesis that the pressure variability is
1.1,
when it is the true pressure variability.The manager fails to reject the hypothesis that the pressure variability is
1.1,
when the true pressure variability is
less
than
1.1.
(c) Which of the following is a Type II error?
The manager rejects the hypothesis that the pressure variability is
1.1,
when the true pressure variability is
less
than
1.1.
The manager fails to reject the hypothesis that the pressure variability is
1.1,
when it is the true pressure variability.The manager rejects the hypothesis that the pressure variability is
1.1,
when it is the true pressure variability.The manager fails to reject the hypothesis that the pressure variability is
1.1,
when the true pressure variability is
less
than
1.1.
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