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Chapter: 12th Business Maths and Statistics : Chapter 9 : Applied Statistics

Exercise 9.3: Statistical Quality Control (SQC)

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Exercise 9.3

 

1. Define Statistical Quality Control.

 

2. Mention the types of causes for variation in a production process.

 

3. Define Chance Cause.

 

4. Define Assignable Cause.

 

5. What do you mean by product control?

 

6. What do you mean by process control?

 

7. Define a control chart.

 

8. Name the control charts for variables.

 

9. Define mean chart.

 

10. Define R Chart.

 

11. What are the uses of statistical quality control?

 

12. Write the control limits for the mean chart.

 

13. Write the control limits for the R chart.

 

14. A machine is set to deliver packets of a given weight. Ten samples of size five each were recorded. Below are given relevant data:


Calculate the control limits for mean chart and the range chart and then comment on the state of control. (conversion factors for n = 5, A2 = 0.58 , D3 = 0 and D4 = 2.115 )

 

15. Ten samples each of size five are drawn at regular intervals from a manufacturing process. The sample means (  ) and their ranges ( R ) are given below:


Calculate the control limits in respect of  chart. ( Given A2  = 0.58 , D3  = 0 and D4  = 2.115 )

Comment on the state of control.

 

16. Construct  and R charts for the following data:


(Given for n = 3, A2 = 0.58 , D3 = 0 and D4 = 2.115 )

 

17. The following data show the values of sample mean (  ) and its range ( R ) for the samples of size five each. Calculate the values for control limits for mean , range chart and determine whether the process is in control.


( conversion factors for n = 5, A2 = 0.58 , D3 = 0 and D4 = 2.115 )

 

18. A quality control inspector has taken ten samples of size four packets each from a potato chips company.The contents of the sample are given below, Calculate the control limits for mean and range chart.


(Given for n = 5, A2 = 0.58 , D3 = 0 and D4 = 2.115 )

 

19. The following data show the values of sample means and the ranges for ten samples of size 4 each. Construct the control chart for mean and range chart and determine whether the process is in control.


 

20. In a production process, eight samples of size 4 are collected and their means and ranges are given below. Construct mean chart and range chart with control limits.


 

21. In a certain bottling industry the quality control inspector recorded the weight of each of the 5 bottles selected at random during each hour of four hours in the morning.



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12th Business Maths and Statistics : Chapter 9 : Applied Statistics


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