MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question #5

**The Standard Deviation in Pressure Variability: An Educational Guide**

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 increased.

**Tasks:**

(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 II error.

---

**(a) State the null hypothesis in words. Choose the correct answer below.**

- **A.** The standard deviation in the pressure required to open a certain valve is greater than 1.1 psi.
- **B.** The standard deviation in the pressure required to open a certain valve is different from 1.1 psi.
- **C.** The standard deviation in the pressure required to open any valve is 1.1 psi.
- **D.** The standard deviation in the pressure required to open a certain valve is 1.1 psi.

---

This educational guide seeks to assist in understanding the process of hypothesis testing related to the variability in pressure required to open valves, a common quality-control task in manufacturing processes.
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Transcribed Image Text:**The Standard Deviation in Pressure Variability: An Educational Guide** 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 increased. **Tasks:** (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 II error. --- **(a) State the null hypothesis in words. Choose the correct answer below.** - **A.** The standard deviation in the pressure required to open a certain valve is greater than 1.1 psi. - **B.** The standard deviation in the pressure required to open a certain valve is different from 1.1 psi. - **C.** The standard deviation in the pressure required to open any valve is 1.1 psi. - **D.** The standard deviation in the pressure required to open a certain valve is 1.1 psi. --- This educational guide seeks to assist in understanding the process of hypothesis testing related to the variability in pressure required to open valves, a common quality-control task in manufacturing processes.
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