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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:

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
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.
Transcribed Image Text:**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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