Question: Construct and interpret an R-chart for the data in Exercise13.10. In exercise 13.10 Twenty-five consecutive samples of size n = 5 were collected to construct

Construct and interpret an R-chart for the data in Exercise13.10.

In exercise 13.10

Twenty-five consecutive samples of size n = 5 were collected to construct an xÌ…-chart. The sample means and ranges for the data are shown in the table.

Sample Sample 14 83.1 10.2 80.2 79.1 83.2 81.0 77.6 7.2 9.0 4.7 5.6 10.1 79.6 80.0 83.2 75.9 15 16 17 18 7.8 6.1 8.4 9.9

a. Calculate and plot the upper control limit and, if appropriate, the lower control limit.
b. Calculate and plot the A, B, and C zone boundaries on the R-chart.

Sample Sample 14 83.1 10.2 80.2 79.1 83.2 81.0 77.6 7.2 9.0 4.7 5.6 10.1 79.6 80.0 83.2 75.9 15 16 17 18 7.8 6.1 8.4 9.9 3 5 6. 81.7 80.4 77.5 79.8 85.3 77.7 8.6 4.4 6.2 7.9 7.1 9.8 10.7 9.2 19 20 21 22 23 24 78.1 81.4 81.7 80.9 78.4 79.6 6.0 7.4 10.4 9.1 7.3 8.0 8 10 11 12 13 82.3 79.5 25 81.6 7.6

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