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Statistical Process Control for Richardo's Widgets

See attached files.

Ricardo's Widgets makes a critical part for a popular brand of cell phones. Consider the data for 15 samples of size 4 of a key dimension for the part, show in the worksheet. Specifications are 0.110 +/- 0.015.

a. Compute control limits for an x-chart using the statistic R/d2 as an estimate of the standard deviation and using the actual standard deviation for the data. Why are they different?

b. Construct the x- and R-charts and an x-chart for the 'individuals' using the data. Interpret the results.

c. Estimate the process capability by using the actual sample standard deviation.

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The solution is an annotated Word doc and Excel spreadsheet.