Judy Holmes Textiles has decided to use a c-Chart to monitor the number of defects per pair of jeans produced by their manufacturing process. The c-Chart should be constructed with 3-sigma control limits. The operations manager randomly samples one pair of jeans at 10 successively selected time periods and counts the number of defects on the pair of jeans. Answer How to e Step 3 of 7: What is the Lower Control Limit? Round your answer to three decimal places. Sample Defects 1 2 3 4 5 6 7 Select the Copy Table button to copy all values. To select an entire row or column, either click on the row or column header or use the Shift and arrow keys. To find the average of the selected cells, select the Average Values button. Copy Table Average Values 8 9 10 Table 9 Control Chart 14 3 10 15 15 11 11 14 10 The average of the selected cell(s) is9.000. Copy Value x Copy Table Keypad board Shortcuts us step answers d Control Chart

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**Title: Monitoring Defect Rates with a c-Chart**

**Introduction:**

Judy Holmes Textiles has elected to employ a c-Chart to oversee the number of defects per pair of jeans produced during their manufacturing process. This tool involves setting control limits with a 3-sigma margin and entails the operations manager randomly sampling one pair of jeans at ten successive time periods to record defect numbers.

**Step-by-Step Analysis:**

**Step 3 of 7: Calculating the Lower Control Limit**

- **Objective:** Determine the Lower Control Limit (LCL). Ensure your answer is rounded to three decimal places.

**Data Collection:**

To start, Judy collected data over 10 different samples. Below are the samples and their respective defect counts:

- **Sample Data:**
  - Sample 1: 9 defects
  - Sample 2: 14 defects
  - Sample 3: 3 defects
  - Sample 4: 10 defects
  - Sample 5: 15 defects
  - Sample 6: 11 defects
  - Sample 7: 8 defects
  - Sample 8: 14 defects
  - Sample 9: 6 defects
  - Sample 10: 15 defects

**Analysis Tools:**

- **Operations Available:**
  - **Copy Table:** Enables copying of all data entries.
  - **Average Values:** Calculates the average number of defects across samples.

- The average number of defects across selected samples is provided as **9.000**.

**Instructions for Calculation:**

1. **Select Values:** Click on the 'Average Values' to find the mean of defects.
2. **Copying Data:** Use 'Copy Table' for further analysis.
3. **Determine LCL:** Apply statistical methods to calculate based on sample data and mean.

**Conclusion:**

This methodical approach allows effective monitoring of product quality by identifying variations outside the norm, thus enhancing overall quality control processes.
Transcribed Image Text:**Title: Monitoring Defect Rates with a c-Chart** **Introduction:** Judy Holmes Textiles has elected to employ a c-Chart to oversee the number of defects per pair of jeans produced during their manufacturing process. This tool involves setting control limits with a 3-sigma margin and entails the operations manager randomly sampling one pair of jeans at ten successive time periods to record defect numbers. **Step-by-Step Analysis:** **Step 3 of 7: Calculating the Lower Control Limit** - **Objective:** Determine the Lower Control Limit (LCL). Ensure your answer is rounded to three decimal places. **Data Collection:** To start, Judy collected data over 10 different samples. Below are the samples and their respective defect counts: - **Sample Data:** - Sample 1: 9 defects - Sample 2: 14 defects - Sample 3: 3 defects - Sample 4: 10 defects - Sample 5: 15 defects - Sample 6: 11 defects - Sample 7: 8 defects - Sample 8: 14 defects - Sample 9: 6 defects - Sample 10: 15 defects **Analysis Tools:** - **Operations Available:** - **Copy Table:** Enables copying of all data entries. - **Average Values:** Calculates the average number of defects across samples. - The average number of defects across selected samples is provided as **9.000**. **Instructions for Calculation:** 1. **Select Values:** Click on the 'Average Values' to find the mean of defects. 2. **Copying Data:** Use 'Copy Table' for further analysis. 3. **Determine LCL:** Apply statistical methods to calculate based on sample data and mean. **Conclusion:** This methodical approach allows effective monitoring of product quality by identifying variations outside the norm, thus enhancing overall quality control processes.
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