15. Canned Tomatoes During long production runs of canned tomatoes, the average weights (in grams) of samples of five cans of standard-grade tomatoes in pureed form were taken at 30 control points during an 11-day period. These results are shown in the table.18 When the machine is performing normally, the average weight per can is 600 grams with a standard deviation of 34.1 grams.

a. Compute the upper and lower control limits and the centerline for the x chart.

b. Plot the sample data on the x chart and determine whether the performance of the machine is in control.

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Sample Number Average Weight Sample Average Number Weight 1234 660 5 623 609 628 611 678 589 574 8 611