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3 0.71 points Problem 10-4 Computer upgrades have a nominal time of 80 minutes.

ID: 397631 • Letter: 3

Question

3 0.71 points Problem 10-4 Computer upgrades have a nominal time of 80 minutes. Samples of five observations each have been taken, and the results are as listed. SAMPLE 6 79.2 80.5 79.6 78.980.5 79.7 78.8 78.7 79.6 79.4 79.6 80.6 80.0 81.0 80.4 79.7 80.4 80.5 78.4 80.4 80.3 79.4 80.8 80.0 81.0 80.1 80.8 80.6 78.8 81.1 Factors for three-sigma control limits for X and R charts FACTORS FOR R CHARTS Observations in Factor for Upper Chart, Control Limit, Control Limit, 3.27 1.88 1.02 0.73 0.58 0.48 0.42 0.37 0.34 0.31 0.29 0.27 2.28 2.11 2.00 1.92 1.86 1.82 1.78 1.74 1.72 1.69 0.14 0.18 0.22 0.26 0.28 0.31

Explanation / Answer

We have following data

Now arrange it in following manner and calculate X double bar and r-bar

Sample Observations 1 2 3 4 5 6 1 79.2 80.5 79.6 78.9 80.5 79.7 2 78.8 78.7 79.6 79.4 79.6 80.6 3 80 81 80.4 79.7 80.4 80.5 4 78.4 80.4 80.3 79.4 80.8 80 5 81 80.1 80.8 80.6 78.8 81.1