Question

The standard deviation in the pressure required to open a certain valve is known to be σ=0.6 psi. Due to changes in the manufacturing​ process, the​ quality-control manager feels that the pressure variability has increased.

​(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​: is (sigmaσ, muμ , or pp) / (equals , greater than>, less than<, not equals≠),to ____________

H1​: is (sigmaσ, muμ, or pp) / (less than<, equals=, not equals≠ ,greater than>) to ____________

​(b) Which of the following is a Type I​ error?

A.The manager rejects the hypothesis that the pressure variability is 0.6​, when it is the true pressure variability.

B.The manager fails to reject the hypothesis that the pressure variability is 0.6​, when the true pressure variability is greater than 0.6.

C.The manager fails to reject the hypothesis that the pressure variability is 0.6​, when it is the true pressure variability.

D.The manager rejects the hypothesis that the pressure variability is 0.6​, when the true pressure variability is greater than 0.6.

​(c) Which of the following is a Type II​ error?

A.The manager rejects the hypothesis that the pressure variability is 0.6​, when the true pressure variability is greater than 0.6

B.The manager rejects the hypothesis that the pressure variability is 0.6​, when it is the true pressure variability.

C.The manager fails to reject the hypothesis that the pressure variability is 0.6​, when it is the true pressure variability.

D.The manager fails to reject the hypothesis that the pressure variability is 0.6​, when the true pressure variability is greater than 0.6.

Answer 1