Answer :
p chart from this data are attached below.
Describe about p chart?
- A p-chart is an attributes control chart that is used with data collected in varying size subgroups.
- Because the size of the subgroup varies, it displays a proportion of nonconforming items rather than the actual count.
- P-charts depict how the process evolves over time.
P bar = total detective / total sampled
P bar = [tex]\frac{20}{100}[/tex]
= [tex]\frac{1}{5}[/tex]
UCL = P bar + L . [tex]\sqrt{\frac{p bar q bar}{n} }[/tex]
= [tex]\frac{1}{5}[/tex] + 3 * [tex]\sqrt{\frac{1}{5} *\frac{4}{5} * \frac{1}{100} }[/tex]
= ([tex]\frac{1}{5} + \frac{3 * 2}{50}[/tex])
= (0.20 + 0.12)
UCL = 0.32
CL = P bar = 0.20
LCL = P bar - L . [tex]\sqrt{\frac{p bar q bar}{n} }[/tex]
= ([tex]\frac{1}{5} - \frac{3 * 2}{50}[/tex])
= (0.20 - 0.12)
LCL = 0.08
Therefore, UCL = 0.32, CL = 0.20, LCL = 0.08
To learn more about proportion check the given link
https://brainly.com/question/18437927
#SPJ4
