Random samples of size n = 400 are taken from a population with p = 0.10.
a. Calculate the centerline, the upper control limit (UCL), and the lower control limit (LCL) for the ̄p chart. (Round the value for the centerline to 2 decimal places and the values for the UCL and LCL to 3 decimal places.)
Centerline 0.10
Upper Control Limit 0.145
Lower Control Limit 0.055
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?
Yes, because all sample proportions lie within the control limits, and there is no systematic pattern.
Yes, because at least one sample proportion lies outside the control limits.
No, because all sample proportions lie within the control limits, and there is no systematic pattern.
No, because at least one sample proportion lies outside the control limits.