The time needed for performing a machining operation is to be investigated. Historically, the process has had a standard deviation equal to 0.146 minutes. The means (in minutes) of 39 samples of n = 6 are: sample mean sample mean sample mean 1 3.86 14 3.81 27 3.81 2 3.90 15 3.83 28 3.86 3 3.83 16 3.86 29 3.98 4 3.81 17 3.82 30 3.96 5 3.84 18 3.86 31 3.88 6 3.83 19 3.84 32 3.76 7 3.87 20 3.87 33 3.83 8 3.88 21 3.84 34 3.77 9 3.84 22 3.82 35 3.86 10 3.80 23 3.89 36 3.80 11 3.88 24 3.86 37 3.84 12 3.86 25 3.88 38 3.79 13 3.88 26 3.90 39 3.85   the averagee of the 39-sample means is equal to 3.85. construct an xbar-chart for this process with two-sigma limits. Is the process in control?

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The time needed for performing a machining operation is to be investigated. Historically, the process has had a standard deviation equal to 0.146 minutes. The means (in minutes) of 39 samples of n = 6 are:

sample

mean

sample

mean

sample

mean

1

3.86

14

3.81

27

3.81

2

3.90

15

3.83

28

3.86

3

3.83

16

3.86

29

3.98

4

3.81

17

3.82

30

3.96

5

3.84

18

3.86

31

3.88

6

3.83

19

3.84

32

3.76

7

3.87

20

3.87

33

3.83

8

3.88

21

3.84

34

3.77

9

3.84

22

3.82

35

3.86

10

3.80

23

3.89

36

3.80

11

3.88

24

3.86

37

3.84

12

3.86

25

3.88

38

3.79

13

3.88

26

3.90

39

3.85

 

the averagee of the 39-sample means is equal to 3.85. construct an xbar-chart for this process with two-sigma limits. Is the process in control? 

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