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Answer:
a.
UCL = 5.17
LCL = 0.00
b.) Yes
The process is in control
Explanation:
Number of observations = 14
Total number of defects = 2+3+1+0+1+3+2+0+2+1+3+1+2+0 = 21
X = (number of defects)/(observation)
X = 21/14
= 1.50
UCL = upper control limit
= X+z√X
= 1.5+3√1.5
= 1.5+3.674234614
= 5.17 to 2 decimal places
LCL = lower control limit
= X-z√X
= 1.5-3√1.5
= -2.17
= 0.00
B.)
From the above, we have the number of defects to be within the control limits of 0 to 5.17, therefore we can conclude that the process is in control