Random samples of size n= 400 are taken from a population with p= 0.15.
a.Calculate the centerline, the upper control
limit (UCL), and the lower control limit (LCL) for the p
b.Suppose six samples of size 400 produced the following sample proportions: 0.06, 0.11, 0.09, 0.08, 0.14, and 0.16. Is the production process under control?
Ans(a)- given that
|No. of samples||6|
using the p- chart formula
and CL =
using above formulas we get
we clearly see in this graph sample 1 lies below the LCL line since process is out of control.
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