Factors for Calculating Three-Sigma Limits for the X-bar Chart and R-Chart

 

Size of  Sample (n)	Factor for UCL and LCL for x-bar-Charts  A2	Factor for  LCL for  R-Charts D3	Factor for  UCL for  R-Charts D4
2	1.880	0	3.267
3	1.023	0	2.575
4	0.729	0	2.282
5	0.577	0	2.115
6	0.483	0	2.004
7	0.419	0.076	1.924
8	0.373	0.136	1.864
9	0.337	0.184	1.816
10	0.308	0.223	1.777

 

4

(LO2DM1) Jus de Fruit Co. has set up for automated production of its new bottled Triple Berry Colada. Five samples were taken during the first week of production. The OM team wants to check if the central tendency of the process is in control. What will be the upper and lower control limits, respectively?

 

Sample	Bottle 1	Bottle 2	Bottle 3
1	20.1	20.1	19.8
2	20.0	19.1	20.0
3	19.9	20.1	19.4
4	18.0	21.8	20.5
5	20.0	19.7	20.0

13. 20.59 and 19.21

14. 21.13 and 18.67

15. 2.54 and 0

16. 20.1 and 16.7

17. 3.09 and 0

 

5

(LO2DM1) Jus de Fruit Co. has set up for automated production of its new bottled Triple Berry Colada. Five samples were taken during the first week of production. The OM team wants to check if the dispersion of the process is in control. What will be the upper and lower control limits, respectively?

 

Sample	Bottle 1	Bottle 2	Bottle 3
1	20.1	20.1	19.8
2	20.0	19.1	20.0
3	19.9	20.1	19.4
4	18.0	21.8	20.5
5	20.0	19.7	20.0

18. 21.13 and 18.67

19. 3.09 and 0

20. 2.54 and 0

21. 21.1 and 18.7

22. 20.59 and 19.21