Refer to the x̅- and R-charts, Exercises 16.8 and 16.17. Conduct a runs analysis to detect any trend in the process.

Data from Exercise 16.8

The central processing unit (CPU) of a microcomputer is a computer chip containing millions of transistors. Connecting the transistors are slender circuit paths only .5 to .85 micron wide. A manufacturer of CPU chips knows that if the circuit paths are not .5–.85 micron wide, a variety of problems will arise in the chips’ performance. The manufacturer sampled four CPU chips six times a day (every 90 minutes from 8:00 A.M. until 4:30 P.M.) for five consecutive days and measured the circuit path widths. These data and MINITAB were used to construct the -chart shown below.

Data from Exercise 16.17:

The desired circuit path widths were .5 to .85 micron. The manufacturer sampled four CPU chips six times a day (every 90 minutes from 8:00 A.M. until 4:30 P.M.) for five consecutive days. The path widths were measured and used to construct the MINITAB R-chart shown below.

Transcribed Image Text:

X-bar Chart for Pathwdth UCL 0.9 08- 0.7- Center = 0.6733 05 0.5- 04 10 15 20 25 30 Sample Number