Unit 36: Statistical Process Control Assignment 1 Understand the basic types,variations and characteristicsof statistical techniques used in process controlGeneral Information All submissions to be electronic in MS Word format with a minimum of 1500 typed words. All answers must be clearly identified as to which task and question they refer to. All work must be submitted through HE Learnzone. Task 1 – Learning Outcome 1.1 Evaluate the two basic types of inspection used in sampling for process control There are two principle inspection methods used in the sampling process. Identify and then evaluate these methods Task 2 – Learning Outcome 1.2 Describe the significance of natural and assignable causes of variation During a quality inspection of a product you can have either natural or assignable causes of variation. Identify and describe the significance of these variations. Task 3 – Learning Outcomes 1.3, 1.4, 2.1, 2.2 and 2.3 1.3 Use selected data to construct frequency distribution and calculate mean, range and standard deviation 1.4 Relate the characteristics of the normal curve to the distribution of the means of small samples 2.1 Select and group sample data based on variable inspection and attribute inspection and calculate appropriate control chart limits 2.2 Construct control charts for variables, rejects per unit and percentage defectives per batch 2.3 Initiate a control program for a specified application Important: for task 3 I need to do table 8 A factory mass produces resistors of various standard values, in order to test the production processes samples are taken. The following 15 tables show one batch of samples. Data Set 1 Data Set 2 Data Set 3 Sample Resistance (Ohms) Sample Resistance (Ohms) Sample Resistance (Ohms) 1 119 1 178.5 1 238 2 120 2 180 2 240 3 119 3 178.5 3 238 4 121 4 181.5 4 242 5 118 5 177 5 236 6 120 6 180 6 240 7 119 7 178.5 7 238 8 122 8 183 8 244 9 123 9 184.5 9 246 10 120 10 180 10 240 11 121 11 181.5 11 242 12 119 12 178.5 12 238 13 118 13 177 13 236 14 123 14 184.5 14 246 15 120 15 180 15 240 16 121 16 181.5 16 242 17 119 17 178.5 17 238 18 118 18 177 18 236 Data Set 4 Data Set 5 Data Set 6 Sample Resistance (Ohms) Sample Resistance (Ohms) Sample Resistance (Ohms) 1 297.5 1 357 1 416.5 2 300 2 360 2 420 3 297.5 3 357 3 416.5 4 302.5 4 363 4 423.5 5 295 5 354 5 413 6 300 6 360 6 420 7 297.5 7 357 7 416.5 8 305 8 366 8 427 9 307.5 9 369 9 430.5 10 300 10 360 10 420 11 302.5 11 363 11 423.5 12 297.5 12 357 12 416.5 13 295 13 354 13 413 14 307.5 14 369 14 430.5 15 300 15 360 15 420 16 302.5 16 363 16 423.5 17 297.5 17 357 17 416.5 18 295 18 354 18 413 Data Set 7 Data Set 8 Data Set 9 Sample Resistance (Ohms) Sample Resistance (Ohms) Sample Resistance (Ohms) 1 476 1 535.5 1 595 2 480 2 540 2 600 3 476 3 535.5 3 595 4 484 4 544.5 4 605 5 472 5 531 5 590 6 480 6 540 6 600 7 476 7 ...

1. Unit 36: Statistical Process Control
Assignment 1
Understand the basic types,variations and characteristicsof
statistical techniques used in process controlGeneral
Information
All submissions to be electronic in MS Word format with a
minimum of 1500 typed words. All answers must be clearly
identified as to which task and question they refer to. All work
must be submitted through HE Learnzone.
Task 1 – Learning Outcome 1.1
Evaluate the two basic types of inspection used in sampling for
process control
There are two principle inspection methods used in the sampling
process.
Identify and then evaluate these methods
Task 2 – Learning Outcome 1.2
Describe the significance of natural and assignable causes of
variation
During a quality inspection of a product you can have either
natural or assignable causes of variation.
Identify and describe the significance of these variations.
Task 3 – Learning Outcomes 1.3, 1.4, 2.1, 2.2 and 2.3
1.3 Use selected data to construct frequency distribution and
calculate mean, range and standard deviation
1.4 Relate the characteristics of the normal curve to the
distribution of the means of small samples

2. 2.1 Select and group sample data based on variable inspection
and attribute inspection and calculate appropriate control chart
limits
2.2 Construct control charts for variables, rejects per unit and
percentage defectives per batch
2.3 Initiate a control program for a specified application
Important: for task 3 I need to do table 8
A factory mass produces resistors of various standard values, in
order to test the production processes samples are taken. The
following 15 tables show one batch of samples.
Data Set 1
Data Set 2
Data Set 3
Sample
Resistance
(Ohms)
Sample
Resistance
(Ohms)
Sample
Resistance
(Ohms)
1
119
1
178.5

3. 1
238
2
120
2
180
2
240
3
119
3
178.5
3
238
4
121
4
181.5
4
242
5
118
5
177
5
236
6

4. 120
6
180
6
240
7
119
7
178.5
7
238
8
122
8
183
8
244
9
123
9
184.5
9
246
10
120
10
180

5. 10
240
11
121
11
181.5
11
242
12
119
12
178.5
12
238
13
118
13
177
13
236
14
123
14
184.5
14
246
15

6. 120
15
180
15
240
16
121
16
181.5
16
242
17
119
17
178.5
17
238
18
118
18
177
18
236
Data Set 4
Data Set 5

7. Data Set 6
Sample
Resistance
(Ohms)
Sample
Resistance
(Ohms)
Sample
Resistance
(Ohms)
1
297.5
1
357
1
416.5
2
300
2
360
2
420
3
297.5
3
357
3

8. 416.5
4
302.5
4
363
4
423.5
5
295
5
354
5
413
6
300
6
360
6
420
7
297.5
7
357
7
416.5
8
305

9. 8
366
8
427
9
307.5
9
369
9
430.5
10
300
10
360
10
420
11
302.5
11
363
11
423.5
12
297.5
12
357
12

10. 416.5
13
295
13
354
13
413
14
307.5
14
369
14
430.5
15
300
15
360
15
420
16
302.5
16
363
16
423.5
17
297.5

11. 17
357
17
416.5
18
295
18
354
18
413
Data Set 7
Data Set 8
Data Set 9
Sample
Resistance
(Ohms)
Sample
Resistance
(Ohms)

12. Sample
Resistance
(Ohms)
1
476
1
535.5
1
595
2
480
2
540
2
600
3
476
3
535.5
3
595
4
484
4
544.5
4
605
5

13. 472
5
531
5
590
6
480
6
540
6
600
7
476
7
535.5
7
595
8
488
8
549
8
610
9
492
9
553.5

14. 9
615
10
480
10
540
10
600
11
484
11
544.5
11
605
12
476
12
535.5
12
595
13
472
13
531
13
590
14

15. 492
14
553.5
14
615
15
480
15
540
15
600
16
484
16
544.5
16
605
17
476
17
535.5
17
595
18
472
18
531

16. 18
590
Data Set 10
Data Set 11
Data Set 12
Sample
Resistance
(Ohms)
Sample
Resistance
(Ohms)
Sample
Resistance
(Ohms)
1
654.5
1
714
1
773.5

17. 2
660
2
720
2
780
3
654.5
3
714
3
773.5
4
665.5
4
726
4
786.5
5
649
5
708
5
767
6
660
6

18. 720
6
780
7
654.5
7
714
7
773.5
8
671
8
732
8
793
9
676.5
9
738
9
799.5
10
660
10
720
10
780

19. 11
665.5
11
726
11
786.5
12
654.5
12
714
12
773.5
13
649
13
708
13
767
14
676.5
14
738
14
799.5
15
660
15

20. 720
15
780
16
665.5
16
726
16
786.5
17
654.5
17
714
17
773.5
18
649
18
708
18
767

21. Data Set 13
Data Set 14
Data Set 15
Sample
Resistance
(Ohms)
Sample
Resistance
(Ohms)
Sample
Resistance
(Ohms)
1
833
1
892.5
1
952
2
840
2
900
2
960
3

22. 833
3
892.5
3
952
4
847
4
907.5
4
968
5
826
5
885
5
944
6
840
6
900
6
960
7
833
7
892.5

23. 7
952
8
854
8
915
8
976
9
861
9
922.5
9
984
10
840
10
900
10
960
11
847
11
907.5
11
968
12

24. 833
12
892.5
12
952
13
826
13
885
13
944
14
861
14
922.5
14
984
15
840
15
900
15
960
16
847
16
907.5

25. 16
968
17
833
17
892.5
17
952
18
826
18
885
18
944
1. For your given data set of ungrouped data calculate the mean,
range and standard deviation.
2. From the information you correlated:
a. Identify the relationship between the normal curve and the
mean values
(300 words)
b. Select and group the data based on variable and attribute
inspection methodology.
3. Using appropriate control charts, calculate the limits you
would use
(300 words plus

26. calculation)
4. Construct an appropriate control chart for variable inspection
methodology, showing rejects per unit and percentage defects
per batch
5. Develop and implement an inspection control program for
your data.Identify:
a. The inspection methodology used
b. The control charts
c. Frequency of inspection and or the batch size
d. Method of implementation
(450 words)
End of assessment brief