No matter how closely the production process is monitored, some chips will work faster than others and be worth more in the marketplace. The goal is to make this number as high as possible, and improvements are being implemented continually. Consider the data set shown in Table 18.5.6, summarizing the number of memory chips that worked properly at the highest speed for each of 25 batches of 1,000 chips.
a. Find the center line for the percentage chart.
b. Find the control limits for the percentage chart.
c. Draw the percentage chart.
d. Comment on what you see in the percentage chart. In particular, is this process in control? How do you know?
e. For the particular case of high-speed memory chips here, does the control chart show good or bad news?
f. Write a paragraph, as if to your supervisor, summarizing the situation.
QUESTION CONTINUE TO NEXT PAGE€¦..

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TABLE 18.5.6 Number of Highest-Speed Memory Chips for 25 Batches of 1,000 Chips Each Batch Identification Highest-Speed Highest-Speed Number of Proportion of Chips, x Chips, p 75 0.061 0.062 0070 0060 0.056 0.061 0.065 61 70 56 10 0.084 12 13 14 15 0.110 0.071 0.103 0,103 110 71 17 18 19 103 80 90 0.084 118 147 136 123 0.118 0.147 0,136 0.123 0.08668