to R 22 1 22 1 122 1 2 1 1 1 1 2 2 2 1 2 2 2 2264 14 5323733

to R 22 1. 22 1. 122 1. 2 1 1. 1 1 2 2 2 1 2 2 2 2264 14 53237333 14 3 34 13 2232 Sun Hon eco 14 4 4 4 2 1 1 2 3 4 3 4 3 1 4 2 4 4 3 1 4 3 314 Gr Dow 678 .3 6 1 7 3 6 4 6 6 2 9 3 8 5 4 11 14 3 3 4 4 4 2 2 2 2 1 3 2 1 2 2 1 1 2 2 2 2 2 .0 .4 4 4 694 .4 5 3 8 0 7 8 5 7 0 .4 1083939 oup 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 20 21 22 23 24 25

Solution

There are a total of 25 samples with sample size = n = 5 each

Following are the relevant values of Constants for n = 5 as derived from standard table of constants for X bar and R bar charts :

A2 = 0.577

D3 = 0

D4 = 2.114

X chart :

Central line = Grand mean of Xbar = 13.57

Upper Control Limit = Grand mean of Xbar + A2 x Grand mean of R = 13.57 + 0.577 x 2.07 = 13.57 + 1.19 = 14.76

Lower Control Limit = Grand mean of Xbar – A2 x Grand mean of R = 13.57 – 0.577 x 2.07 = 13.57 – 1.19 = 12.38

R chart :

Central Line = Grand mean of R = 2.07

Upper Control Limit = D4.x Grand mean of R = 2.114 x 2.07 = 4.3759 ( 4.38 rounded to 2 decimal places )

Lower Control Limit = D3 x Grand mean of R = 0

Data point

X chart

R chart

Central Line

13.57

2.07

Lower Control Limit ( LCL)

12.38

0

Upper Control Limit ( UCL )

14.76

4.38

Data point	X chart	R chart
Central Line	13.57	2.07
Lower Control Limit ( LCL)	12.38	0
Upper Control Limit ( UCL )	14.76	4.38