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Consider the following state ments with respect to control charts for attributes:
1. The lower control limit is non-negative
2. Normal distribution is the order for this data
3. The lower control limit is not significant
4. These charts give the average quality characteristics
2. Normal distribution is the order for this data
3. The lower control limit is not significant
4. These charts give the average quality characteristics
Which of the statements given above are correct?
- a)1, 2 and 3
- b)2, 3 and 4
- c)1, 3 and 4
- d)1, 2 and 4
Correct answer is option 'C'. Can you explain this answer?
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Consider the following state ments with respect to control charts for ...
Control charts for attributes are used to monitor and control the quality characteristics of a process. These charts are particularly useful when the data being measured is in the form of discrete categories or attributes, such as the number of defects, the presence or absence of a particular feature, or the proportion of non-conforming items.
Let's analyze each statement given in the question and determine which ones are correct.
1. The lower control limit is non-negative:
- This statement is correct. Control limits are calculated based on the statistical properties of the data being monitored. In the case of attributes control charts, the control limits are typically calculated using binomial or Poisson distribution. Since the lower control limit represents the lower boundary for acceptable performance, it cannot be negative.
2. Normal distribution is the order for this data:
- This statement is incorrect. Control charts for attributes do not assume a normal distribution for the data. Instead, they rely on the binomial or Poisson distribution depending on the nature of the data being monitored. These distributions are used to calculate the control limits and assess the performance of the process.
3. The lower control limit is not significant:
- This statement is correct. The lower control limit represents the lower boundary for acceptable performance. If the data falls below the lower control limit, it indicates that the process is out of control and requires investigation and corrective action. Therefore, the lower control limit is significant in determining the stability and performance of the process.
4. These charts give the average quality characteristics:
- This statement is incorrect. Control charts for attributes are not designed to measure the average quality characteristics of a process. Instead, they monitor the occurrence of specific attributes or events and provide a visual representation of the process performance over time.
Based on the analysis above, the correct statements are:
- The lower control limit is non-negative.
- The lower control limit is not significant.
- These charts give the average quality characteristics.
Therefore, the correct answer is option C) 1, 3, and 4.
Let's analyze each statement given in the question and determine which ones are correct.
1. The lower control limit is non-negative:
- This statement is correct. Control limits are calculated based on the statistical properties of the data being monitored. In the case of attributes control charts, the control limits are typically calculated using binomial or Poisson distribution. Since the lower control limit represents the lower boundary for acceptable performance, it cannot be negative.
2. Normal distribution is the order for this data:
- This statement is incorrect. Control charts for attributes do not assume a normal distribution for the data. Instead, they rely on the binomial or Poisson distribution depending on the nature of the data being monitored. These distributions are used to calculate the control limits and assess the performance of the process.
3. The lower control limit is not significant:
- This statement is correct. The lower control limit represents the lower boundary for acceptable performance. If the data falls below the lower control limit, it indicates that the process is out of control and requires investigation and corrective action. Therefore, the lower control limit is significant in determining the stability and performance of the process.
4. These charts give the average quality characteristics:
- This statement is incorrect. Control charts for attributes are not designed to measure the average quality characteristics of a process. Instead, they monitor the occurrence of specific attributes or events and provide a visual representation of the process performance over time.
Based on the analysis above, the correct statements are:
- The lower control limit is non-negative.
- The lower control limit is not significant.
- These charts give the average quality characteristics.
Therefore, the correct answer is option C) 1, 3, and 4.
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Consider the following state ments with respect to control charts for attributes:1. The lower control limit is non-negative2. Normal distribution is the order for this data3. The lower control limit is not significant4. These charts give the average quality characteristicsWhich of the statements given above are correct?a)1, 2 and 3 b)2, 3 and 4 c)1, 3 and 4 d)1, 2 and 4Correct answer is option 'C'. Can you explain this answer?
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