At Isogen Pharmaceuticals, the filling process for its asthma inhaler is set to
ID: 375600 • Letter: A
Question
At Isogen Pharmaceuticals, the filling process for its asthma inhaler is set to dispense 150 milliliter (ml) of steroid solution per container.
The quality technician is taking 5 containers from the process line every hour to perform the quality check.
Below is the table of his shift on one of the working days:
Use the data to construct the appropriate control chart/s to asses if the filling machine is working well. Provide numerical values and chart/s.
Is the process in control? Explain.
5 151 150.5 151 4 2 149 148 150 150 1 Time 7:00am 150 8:00am 151 9:00am 150 10:00am 150 11:00am 149 12:00pm 151 1:00pm152 2:00pm150 3:00pm151 149.5150.5 150 148 150.5 150.5 150 150.5 150 150 150 150 150 150 150 150.5 151 149.5 150 151 151 151.5 149 150.5 149.5 151 153 150 150Explanation / Answer
Below table presents mean value and Range value for all time observations ;
TIME
1
2
3
4
5
Mean
Range
07:00
150
149
149.5
150.5
151
150
2
08:00
151
148
150
150
150.5
149.9
3
09:00
150
150
150.5
148
151
149.9
3
10:00
150
150
150
150.5
150.5
150.2
0.5
11:00
149
149.5
150
150
151
149.9
2
12:00
151
151
150
150.5
151
150.7
1
01:00
152
153
150
151
151.5
151.5
3
02:00
150
150
150
149.5
149
149.7
1
03:00
151
150
150
150
150.5
150.3
1
Sum =
1352.1
16.5
Accordingly ,
Xbar-bar = Mean of Mean values = 1352.1 / 9 = 150.23
Rbar = Mean of range values = 16.5/9 = 1.83
Sample size = n = 5
Following are the relevant values of constants derived from standard table for Xbar and R chart for n =5:
A2 = 0.577
D4 = 2.114
D3 = 0
Thus appropriate control chart details as follows :
Xbar chart :
Upper Control Limit = Xbar-bar + A2.Rbar = 150.23 + 0.577 x 1.83 = 150.23 + 1.055 = 151,285
Lower Control Chart = Xbar-bar – A2.Rbar = 150.23 – 0.577 x 1.83 = 150.23 – 1.055 = 149.175
Rbar chart :
Upper Control Limit = D4.Rbar = 2.114 x 1.83 = 3.868
Lower Control Limit = D3.Rbar = 0
TIME
1
2
3
4
5
Mean
Range
07:00
150
149
149.5
150.5
151
150
2
08:00
151
148
150
150
150.5
149.9
3
09:00
150
150
150.5
148
151
149.9
3
10:00
150
150
150
150.5
150.5
150.2
0.5
11:00
149
149.5
150
150
151
149.9
2
12:00
151
151
150
150.5
151
150.7
1
01:00
152
153
150
151
151.5
151.5
3
02:00
150
150
150
149.5
149
149.7
1
03:00
151
150
150
150
150.5
150.3
1
Sum =
1352.1
16.5
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