Scenario: The data revealed that the most common complain was related to incorre

Question

Scenario: The data revealed that the most common complain was related to incorrect tire pressure in the front wheels of the mountain bike. Therefore each day, the Consultants randomly took 23 samples of five tire pressure reading which are shown in the table below and will be used to construct and x-bar and R charts. These data will be utilized for Questions 16 – 18.

Question 16: What is the x-bar chart Upper Control Limit for this scenario at the 99.7% level?

Day

Sample1

Sample 2

Sample 3

Sample 4

Sample 5

1

20

26

21

25

28

2

25

29

23

20

23

3

26

21

31

27

27

4

21

19

22

28

27

5

19

23

29

30

30

6

28

31

28

21

29

7

28

25

27

21

30

8

26

23

20

23

25

9

23

25

26

29

21

10

19

27

23

29

11

23

23

27

24

29

12

31

30

30

22

20

13

24

27

27

23

28

14

23

19

21

31

23

15

30

23

28

19

31

16

31

25

20

31

31

17

30

23

36

33

33

18

36

30

23

14

19

19

29

29

22

26

30

20

25

28

29

26

25

21

24

24

29

26

24

22

21

23

19

20

28

23

22

29

26

23

28

Refer to the data in the Question 16. What is the x-bar chart Lower Control Limit for this scenario at the 99.7% level?

Refer to the data in Question 16. What is the R-bar chart Upper Limit for this scenario at the 99.7% level?

Day

Sample1

Sample 2

Sample 3

Sample 4

Sample 5

1

20

26

21

25

28

2

25

29

23

20

23

3

26

21

31

27

27

4

21

19

22

28

27

5

19

23

29

30

30

6

28

31

28

21

29

7

28

25

27

21

30

8

26

23

20

23

25

9

23

25

26

29

21

10

19

27

23

29

14

11

23

23

27

24

29

12

31

30

30

22

20

13

24

27

27

23

28

14

23

19

21

31

23

15

30

23

28

19

31

16

31

25

20

31

31

17

30

23

36

33

33

18

36

30

23

14

19

19

29

29

22

26

30

20

25

28

29

26

25

21

24

24

29

26

24

22

21

23

19

20

28

23

22

29

26

23

28

Explanation / Answer

Solution:

16)   The x-bar chart Lower Control Limit for this scenario at the 99.7% level is 20.061

16)    The R-bar chart Upper Limit for this scenario at the 99.7% level is    20.037

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