can you help me with the chart for A. **Problem 10-23**Ten samples of 15 parts each were taken from an ongoing process to establish a $ p $-chart for control. The samples and the number of defectives in each are shown in the following table:| SAMPLE | $ n $ | NUMBER OF DEFECTIVE ITEMS IN THE SAMPLE ||--------|---------|----------------------------------------|| 1 | 15 | 2 || 2 | 15 | 1 || 3 | 15 | 1 || 4 | 15 | 1 || 5 | 15 | 1 || 6 | 15 | 0 || 7 | 15 | 2 || 8 | 15 | 1 || 9 | 15 | 3 || 10 | 15 | 0 |**a.** Determine the $\bar{p}$, $ S_p $, UCL, and LCL for a $ p $-chart of 95 percent confidence (1.96 standard deviations). **(Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 3 decimal places.)**| $\bar{p}$ | ||-------------|-------|| $ S_p $ | || UCL | || LCL | 0 |**Explanation of Items:**- **$\bar{p}$:** This is the average proportion of defective items across all samples.- **$ S_p $:** This represents the standard deviation of the proportions.- **UCL (Upper Control Limit):** The upper boundary in the control process.- **LCL (Lower Control Limit):** The lower boundary in the control process; set to "0" when the calculated value is negative or zero.

Control limits: The data represents the number of defectives for each of the 10 samples of size n =…

Answered: Ten samples of 15 parts each were taken…

Ten samples of 15 parts each were taken from an ongoing process to establish a p-chart for control. The samples and the number of defectives in each are shown in the following table:

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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can you help me with the chart for A.

**Problem 10-23**

Ten samples of 15 parts each were taken from an ongoing process to establish a $ p $-chart for control. The samples and the number of defectives in each are shown in the following table:

| SAMPLE | $ n $ | NUMBER OF DEFECTIVE ITEMS IN THE SAMPLE |
|--------|---------|----------------------------------------|
| 1 | 15 | 2 |
| 2 | 15 | 1 |
| 3 | 15 | 1 |
| 4 | 15 | 1 |
| 5 | 15 | 1 |
| 6 | 15 | 0 |
| 7 | 15 | 2 |
| 8 | 15 | 1 |
| 9 | 15 | 3 |
| 10 | 15 | 0 |

**a.** Determine the $\bar{p}$, $ S_p $, UCL, and LCL for a $ p $-chart of 95 percent confidence (1.96 standard deviations). **(Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 3 decimal places.)**

| $\bar{p}$ | |
|-------------|-------|
| $ S_p $ | |
| UCL | |
| LCL | 0 |

**Explanation of Items:**

- **$\bar{p}$:** This is the average proportion of defective items across all samples.
- **$ S_p $:** This represents the standard deviation of the proportions.
- **UCL (Upper Control Limit):** The upper boundary in the control process.
- **LCL (Lower Control Limit):** The lower boundary in the control process; set to "0" when the calculated value is negative or zero.

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