The standard deviation in the pressure required to open a certain valve is known to be o = 0.5 psi. Due to changes in the manufacturing process, the quality-control manager feels that the pressure variability has increased. (a) State the null and alternative hypotheses in words. (b) State the null and alternative hypotheses symbolically. (c) Explain what it would mean to make a Type I error.
The standard deviation in the pressure required to open a certain valve is known to be o = 0.5 psi. Due to changes in the manufacturing process, the quality-control manager feels that the pressure variability has increased. (a) State the null and alternative hypotheses in words. (b) State the null and alternative hypotheses symbolically. (c) Explain what it would mean to make a Type I error.
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Transcribed Image Text:The standard deviation in the pressure required to open a certain valve is known to be o = 0.5 psi. Due to changes in the manufacturing process, the quality-control
manager feels that the pressure variability has increased.
(a) State the null and alternative hypotheses in words.
(b) State the null and alternative hypotheses symbolically.
(c) Explain what it would mean to make a Type I error.
(d) Explain what it would mean to make a Type Il error.
(a) State the null hypothesis in words. Choose the correct answer below.
A. The standard deviation in the pressure required to open any valve is 0.5 psi.
B. The standard deviation in the pressure required to open a certain valve is 0.5 psi.
C. The standard deviation in the pressure required to open a certain valve is different from 0.5 psi.
D. The standard deviation in the pressure required to open a certain valve is greater than 0.5 psi.
State the alternative hypothesis in words. Choose the correct answer below.
A. The standard deviation in the pressure required to open any valve is 0.5 psi.
B. The standard deviation in the pressure required to open a certain valve is greater than 0.5 psi.
C. The standard deviation in the pressure required to open a certain valve is 0.5 psi.
D. The standard deviation in the pressure required to open a certain valve is different from 0.5 psi.
(b) State the hypotheses symbolically.
Ho:
0.5 psi
=
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