1. (25 points) It is proposed to develop X and R charts to control the diameter of a product. The following data have been collected for some samples.

Sample #diameter values in sample

110.1, 10.3, 10.0, 9.9, 10.1

29.8, 10.2, 10.1, 9.9, 9.9

310.3, 10.2, 9.9, 9.8, 9.9

49.9, 9.9, 9.8, 10.3, 10.5

510.2, 10.3, 9.8, 9.9, 10.2

69.5, 9.9, 10.4, 10.3, 10.3

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Construct X and R charts for this process and plot the X and R values of all the above samples in those charts.