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This in-class exercise demonstrates the application of X-bar and R charts for analyzing the stability of a gluing process. It involves calculating sample means and ranges from collected data on force applied during gluing, followed by determining control limits using statistical formulas. Key steps include computing the mean of the sample means and mean of the ranges, setting up control limits, and plotting the X-bar and R charts to visualize process control. This exercise provides hands-on experience in statistical process control.
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X AND R CHART EXAMPLEIN-CLASS EXERCISE The following collection of data represents samples of the amount of force applied in a gluing process: Determine if the process is in control by calculating the appropriate upper and lower control limits of the X-bar and R charts.
Example of x-bar and R charts: Step 1. Calculate sample means, sample ranges, mean of means, and mean of ranges.
Example of x-bar and R charts: Step 2. Determine Control Limit Formulas and Necessary Tabled Values
Example of x-bar and R charts: Steps 3&4. Calculate x-bar Chart and Plot Values
Example of x-bar and R charts: Steps 5&6: Calculate R-chart and Plot Values