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Arana is a company that produces homemade Rotini pasta. They use statistical process control to monitor the manufacturing process. The company collects five samples,

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Arana is a company that produces homemade Rotini pasta. They use statistical process control to monitor the manufacturing process. The company collects five samples, each containing six packs of pasta. Below is the sample data, but the standard deviation of the process output is unknown. If an R chart is created using three-sigma limits (i.e., z=3) to monitor the variability of products, what would be the upper control limit for this R chart? Pack 1 Pack 2 Pack 3 Pack 4 Pack 5 Pack 6 Sample 1 452.3 452.8 456 457.2 457.8 451.8 Sample 2 451.6 451.2 454.6 455.3 452.2 451.9 Sample 3 448.6 455.6 456.5 451.9 455.6 448.3 Sample 4 454.7 451.7 451 452.6 454.7 458.4 Sample 5 448.9 453.4 456.7 456.3 452.4 456 7.614 9.328 11.653 13.427

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