CPU of a computer chip. Refer to Exercise 13.15 (p.

Chapter 13, Problem 31E

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QUESTION:

CPU of a computer chip. Refer to Exercise 13.15 (p. 13-30), where the desired circuit path widths were .5 to .85 micro-meter. The manufacturer sampled four CPU chips six times a day (every 90 minutes from 8:00 a.m. until 4:30 p.m.) for 5 consecutive days. The path widths were measured and used to construct the accompanying Minitab R-chart.

a. Calculate the chart’s upper and lower control limits.

b. What does the R-chart suggest about the presence of special causes of variation during the time when the data were collected?

c. Should the control limit(s) be used to monitor future process output? Explain.

d. How many different R values are plotted on the control chart? Notice how most of the R values fall along three horizontal lines. What could cause such a pattern?

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QUESTION:

CPU of a computer chip. Refer to Exercise 13.15 (p. 13-30), where the desired circuit path widths were .5 to .85 micro-meter. The manufacturer sampled four CPU chips six times a day (every 90 minutes from 8:00 a.m. until 4:30 p.m.) for 5 consecutive days. The path widths were measured and used to construct the accompanying Minitab R-chart.

a. Calculate the chart’s upper and lower control limits.

b. What does the R-chart suggest about the presence of special causes of variation during the time when the data were collected?

c. Should the control limit(s) be used to monitor future process output? Explain.

d. How many different R values are plotted on the control chart? Notice how most of the R values fall along three horizontal lines. What could cause such a pattern?

ANSWER:

Step 1 of 5

Here the circuit path widths are measured for the four CPU chips six times a day for 5

consecutive days. Thus, we have n = 4.

From the given control chart, we observed that the center line exists at  = 0.335.

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