The standard deviation in the pressure required to open a
certain valve is known to be σ=1.4 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.
Question content area bottom
Part 1
(a) State the hypotheses.
H0:
▼
pp
sigmaσ
muμ
▼
not equals≠
less than<
equals=
greater than>
enter your response here
H1:
▼
sigmaσ
pp
muμ
▼
not equals≠
less than<
greater than>
equals=
enter your response here
(Type integers or decimals. Do not round.)
Part 2
(b) Which of the following is a Type I error?
A.The manager fails to reject the hypothesis that the pressure
variability is 1.4, when the true pressure variability
is less than 1.4.
B.The manager rejects the hypothesis that the pressure
variability is 1.4, when it is the true pressure
variability.
C.The manager rejects the hypothesis that the pressure
variability is 1.4, when the true pressure variability
is less than 1.4.
D.The manager fails to reject the hypothesis that the pressure
variability is 1.4, when it is the true pressure
variability.
Part 3
(c) Which of the following is a Type II error?
A.The manager fails to reject the hypothesis that the pressure
variability is 1.4, when it is the true pressure
variability.
B.The manager rejects the hypothesis that the pressure
variability is 1.4, when it is the true pressure
variability.
C.The manager fails to reject the hypothesis that the pressure
variability is 1.4, when the true pressure variability
is less than 1.4.
D.The manager rejects the hypothesis that the pressure
variability is 1.4, when the true pressure variability
is less than 1.4.
The standard deviation in the pressure required to open a certain valve is known to be σ=1.4 psi. Due to changes in the
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The standard deviation in the pressure required to open a certain valve is known to be σ=1.4 psi. Due to changes in the
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