Question: 1. The following table provides data for 20 samples each of size 4. Sample x 1 x 2 x 3 x 4 2 50 48

1.The following table provides data for 20 samples each of size 4.

Sample

x1

x2

x3

x4

2

50

48

51

43

3

32

28

26

22

4

52

55

56

44

5

16

16

21

26

6

36

36

35

31

7

21

22

18

21

8

29

21

23

22

9

26

46

44

14

10

24

22

22

44

11

18

24

24

49

12

24

20

26

23

13

19

21

27

28

14

8

11

12

12

15

24

18

27

28

16

56

52

56

50

17

32

22

18

25

18

8

12

11

17

19

51

54

52

49

20

30

28

35

22

a)Using all the data, find control limits for and R charts, construct the control chart, and plot the data. (10 pts)

b)Does this process appear in statistical control? Briefly explain why or why not. (5 pts)

c)Identify out-of-control points. If necessary, recompute the control limits after removing the outliers. What do you conclude? (10 pts)

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