Refer to the bottle manufacturing process, Exercise 16.5. To monitor the process mean, three finished bottles are sampled from the production process at 20 points in time (days). The data (weight, in ounces) for last month’s inspection are provided in the table. Construct both an R-chart and x̅-chart for the weights of the finished bottles. Interpret the results.

Data from Exercise 16.5

Each month, the quality control engineer at a bottle manufacturing company randomly selects one finished bottle from the production process at 20 points in time (days) and records the weight of each bottle (in ounces).

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BOTTLE2 Day Bottle Weights Day Bottle Weights 5.6 5.8 5.8 11 6.2 5.6 5.8 2 5.7 6.3 6.0 12 5.9 5.7 5.9 6.1 5.3 6.0 13 5.2 5.5 5.7 4 6.3 5.8 5.9 14 6.0 6.1 6.0 5 5.2 5.9 6.3 15 6.3 5.7 5.9 6.0 6.7 5.2 16 5.8 6.2 6.1 7 5.8 5.7 6.1 17 6.1 6.4 6.6 8 5.8 6.0 6.2 18 6.2 5.7 5.7 9. 6.4 5.6 5.9 19 5.3 5.5 5.4 10 6.0 5.7 6.1 20 6.0 6.1 6.0 1. 3.