Book back answers and solution for Exercise questions - Maths: Applied Statistics: Statistical Quality Control (SQC): Problem Questions with Answer, Solution

**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, A_{2} = 0.58 , D_{3} = 0 and D_{4} =
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, A_{2} = 0.58 ,
D_{3} = 0 and D_{4} = 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, A_{2}
= 0.58 , D_{3} = 0 and D_{4} = 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, A_{2} = 0.58 ,
D_{3} = 0 and D_{4} = 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.

**Answers:**

Tags : Problem Questions with Answer, Solution | Applied Statistics , 12th Business Maths and Statistics : Chapter 9 : Applied Statistics

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12th Business Maths and Statistics : Chapter 9 : Applied Statistics : Exercise 9.3: Statistical Quality Control (SQC) | Problem Questions with Answer, Solution | Applied Statistics

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