Question: Control charts are to be established on a certain dimension part, measured in millimetres. Data were collected in subgroup sizes of 4 and are given

Control charts are to be established on a certain dimension part, measured in millimetres. Data were collected in subgroup sizes of 4 and are given below:

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Date

Time

X1

X2

X3

X4

11-Mar

08h00

24

23

24

21

11h00

38

24

25

26

14h00

25

26

27

22

17h00

29

22

25

21

19h00

31

20

27

25

12-Mar

08h00

19

29

30

25

11h00

26

24

24

25

14h00

22

27

21

22

17h00

18

23

25

19

19h00

23

22

28

32

13-Mar

08h00

22

20

29

30

11h00

22

21

22

26

14h00

28

29

24

25

17h00

25

32

21

21

19h00

28

31

24

22

14-Mar

08h00

15

25

29

28

11h00

18

28

29

25

14h00

20

25

28

20

17h00

19

24

31

31

19h00

26

24

32

30

  1. What is the process mean?
  2. What is the process standard deviation (use both methods)?
  3. Construct a three-sigma control chart for and R charts.
  4. Construct a three-sigma control chart for and S charts.
  5. What conclusions can you draw about the ability of the process?

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