10.8) A sample of 200 ROM computer chips was selected on each of 30 consecutive

Question

10.8) A sample of 200 ROM computer chips was selected on each of 30 consecutive days, and the number of nonconforming chips on each day was as follows: 12, 15, 21, 16, 37, 16, 6, 27, 12, 22, 30, 18, 14, 18, 16, 16, 12, 21, 13, 17, 19, 19, 12, 27, 31, 17, 13, 22, 12, 30. Construct a p chart and examine it for any out-of-control points. (Round your answers to four decimal places.)

p-bar =?

LCL=?

UCL=?

Comment on the chart. All points are between these limits, so the process appears to be out of control. All points are between these limits, so the process appears to be in control. The value of s on the 5th day lies above the UCL, so an out-of-control signal is generated. Most points are between these limits, so the process appears to be in control with respect to variability The value of s on the 5th day lies below the LCL, so an out-of-control signal is generated.

Explanation / Answer

The statistical software output for this problem is:

p Chart results for the fraction of defectives in 200 samples:
Upper control limit = 0.15525839
Center line = 0.0935
Lower control limit = 0.03174161

Hence,

p - bar = 0.0935

LCL = 0.0317

UCL = 0.1553

Option D is correct.

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