Orion Inc., a fictional company, produces automotive parts, accessories, batteries, and maintenance items for a variety of vehicles, including cars and vans. Orders for the company€™s products are shipped from distribution centers located in various regions using trucks. One of the measures that the company uses to monitor the performance of its supply chain is its ability to get the orders to its customer on time. The order-fulfillment time is the time it takes for the company to deliver an order after it receives it. To ensure this quality measure is being met, the distribution centers are required to collect sample data every month. The following table presents one such sample set of data of order fulfillment lead times in days for 20 samples of six orders each:

Construct a mean and a range chart for this process using 3σ control limits and determine whether it is in control.

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Fulfillment Time (in days) Fulfillment Time (in days) Sample Sample 1.0, 2.0, 1.5, 1.8, 2.1, 0.5 1.7, 2.3, 1.9, 1.1, 2.3, 1.5 1.2, 2.0, 1.9, 2.1, 2.5, 1.8 2.5, 1.3, 2.9, 3.1, 2.4, 3.5 2.0, 1.1, 2.2, 0.7, 2.0, 3.0 1.5, 2.0, 1.5, 1.8, 2.7, 0.6 2.1, 1.8, 2.4, 3.0, 1.4, 2.5 0.5, 1.0, 2.0, 3.0, 2.7, 0.9 3.5, 1.7, 1.9, 2.6,1.4, 2.5 1.5,0.3, 1.9, 2.7, 2.0. 1.1 2.7, 2.4, 1.8, 1.2, 2.4, 1.6 2.5, 1.9, 2.9, 3.1, 1.4, 2.1 1.0, 2.2, 1.2, 0.5, 2.7, 3.1 1.4, 2.3, 2.5, 0.8, 2.1, 1.6 3.5, 1.0, 1.8, 1.8, 2.7, 1.6 2.0, 1.7, 1.9, 2.1, 2.4, 1.5 11 12 13 14 15 16 6. 2.0, 1.0, 2.4, 1.1, 2.7, 2.5 17 1.1, 2.3, 2.4, 1.7, 2.4, 0.5 8. 18 1.4, 2.3, 1.9, 2.1, 3.4, 2.5 19 1.9, 2.7,0.9, 1.1,2.5, 0.8 10 20 4)