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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

Posted: Wed May 11, 2022 8:24 pm
by answerhappygod
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.