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Defective micron chips. A manufacturer produces micron
Chapter 13, Problem 44E(choose chapter or problem)
Defective micron chips. A manufacturer produces micron chips for personal computers. From past experience, the production manager believes that 1% of the chips are defective. The company collected a sample of the first 1,000 chips manufactured after 4:00 p.m. every other day for a month. The chips were analyzed for defects; then these data and Minitab were used to construct the p-chart shown here.
a. From a statistical perspective, is a sample size of 1,000 adequate for constructing the p-chart? Explain.
b. Calculate the chart’s upper and lower control limits.
c. What does the p-chart suggest about the presence of special causes during the time when the data were collected?
d. Critique the rational subgrouping strategy used by the disk manufacturer.
Questions & Answers
QUESTION:
Defective micron chips. A manufacturer produces micron chips for personal computers. From past experience, the production manager believes that 1% of the chips are defective. The company collected a sample of the first 1,000 chips manufactured after 4:00 p.m. every other day for a month. The chips were analyzed for defects; then these data and Minitab were used to construct the p-chart shown here.
a. From a statistical perspective, is a sample size of 1,000 adequate for constructing the p-chart? Explain.
b. Calculate the chart’s upper and lower control limits.
c. What does the p-chart suggest about the presence of special causes during the time when the data were collected?
d. Critique the rational subgrouping strategy used by the disk manufacturer.
ANSWER:Step 1 of 6
The problem information is about the manufacturing of microchips for the
computers. The production manager detects that 1% defective chips are obtained in
the past experience.
The data collected for 1,000 chips manufactured and these are analysed for defects
then from this data the developed p-chart is given by